The standard deviation of the sample mean decreases as the sample size increases. This is because the larger the sample size, the more accurately it reflects the population mean.
The standard deviation of the sample mean is a measure of how close the sample mean is to the population mean. The sample mean is an estimate of the population mean, and the standard deviation of the sample mean is a measure of how accurate that estimate is. When the sample size is increased, the sample mean becomes a more accurate estimate of the population mean, thus the standard deviation of the sample mean decreases. This is because the larger the sample size, the more accurately it reflects the population mean, and the closer the sample mean is to the population mean, the lower the standard deviation of the sample mean. The decrease in the standard deviation of the sample mean as the sample size increases is called the law of large numbers.
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Iron-59 has a half-life of 44. 5 days. How much of a 3. 00 mg sample will be left after 222. 5 days?
A about 6. 00 milligrams
B about 0. 90 milligrams
C about 0. 03 milligrams
D about 0. 09 milligrams
Fe-59 concentrates in the spleen with a biological half life of approximately 600 days, and an effective half life of approximately 42 days.
Define half life?
The half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value.Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay. This also implies that one half life is the time that it takes for the activity of a source to fall to half its original value.An interesting and useful aspect of radioactive decay is half-life, which is the amount of time it takes for one-half of a radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.The units of half-life are time. The half-life is the length of time that it takes for half of an initial sample to undergo a change. Usually this is the radio-active decay of a specific atomic weight of an element. For example, the half-life of Uranium-238 is 4.46 billion years.To learn more about half life refers to:
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Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
The series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' will be Dilation and Reflection.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Then the scale factor about the origin is given as,
Scale factor = 2 / 4
Scale factor = 1/2
The reflection does not change the shape and size of the geometry. But flipped the image.
Reflection of the image over the y-axis.
The series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' will be Dilation and Reflection.
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4 radical 9 multiplied by 4 radical 9
The multiplication of the given expression gives the value 144.
What are Radicals?Radicals are defined as the nth root of a number using the symbol [tex]^n\sqrt{x}[/tex].
This is the opposite form of the exponential functions.
Given expression is (4 √9) × (4 √9).
We can write this as (4 √9) × (4 √9) = (4 × 4) × (√9 × √9).
Multiplying the radicals together and whole numbers together,
(4 √9) × (4 √9) = 16 × (3 × 3) = 144
Hence the multiplication of the radicals gives the value 144.
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A eyeglasses store is checking their inventory. The table shows the relationship between the number of days since the opening of the eyeglasses store and the total amount of sunglasses in their inventory.
Sunglasses Inventory
Number of Days Total Amount of Sunglasses
2 54
5 48
7 44
10 38
Which of the following graphs shows the relationship given in the table?
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 52 through the point 1 comma 50
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 52 through the point 1 comma 49
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 58 through the point 1 comma 56
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 58 through the point 1 comma 55
Answer:
the answer is 48 i believe
Step-by-step explanation:
............
A sample was taken of 20 salaries of employees in a large company. The following are the annual salaries (in thousands of dollars). For convenience, the data have been ordered. 28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.
(a) What is the median salary of the 20 employees?
(b) A histogram of the 20 salaries is slightly skewed to the right. What do we know about the mean salary of these 20 salaries, based on this information?
(c) What is the first quartile of the 20 salaries? (d) What is the interquartile range of the 20 salaries?
(a)The median salary of the 20 data's is 48 (b)The mean salary of the 20 data's is 47.65 which is less than the median due to which the histogram is slightly skewed towards right
(c)The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)
(d) The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.
How do mean and median differ?The median value of a data set is the value at which 50% of the data points have values lower than it or equal to it and 50% of the points have values higher than it or equal to it. The median is the value that separates the upper from the lower half of a population, a probability distribution, or a sample of data. For a data collection, it may be referred to as "the middle" value.
In mathematics, particularly in statistics, there are a variety of mean types. Each mean aids in the summary of a particular set of data, frequently serving to assess the overall importance of a given data set.
The interquartile range includes the second and third quartiles, or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.
The set of salary (data) :
28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.
Since there are 20 datas (even) the median will be the average of the 2 centre data = (47+49)/2 = 48
The mean of the data set = (28+ 31+ 34+ 35+ 37+ 41+ 42+ 42+ 42+ 47+ 49+ 51+ 52+ 52+ 60+ 61+ 67+ 72+ 75+ 77)/20 = 953/20 = 47.65
The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)
The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.
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How do you convert 100 Kilogram (kg) to Pound (lb)?
100 kilograms (kg) converts to 220.463 pounds (lb).
What does 100 kilograms translate to in pounds?Conversion. 100 kilograms (kg) converted to pounds (lb). 100 kilograms (kg) equals 220.463 pounds (lb). A kilogram weighs approximately 2.2046226218 pounds. The method for converting kilos to pounds is pretty straightforward. All you have to do is multiply the kilogram amount by 2.2046226218.
The term “pound” derives from the ancient Roman libra pondo, which means “a pound by weight.” According to the BBC, the English term “pound” is derived from the pondo component of the sentence. However, the abbreviation “lb” is taken from the word libra.
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An airplane i carrying 90
paenger, which i 67
of the capacity of the airplane. What i the capacity of the airplane?
The capacity of the airplane is 105 passengers.
Since 90 passengers is to 6/7 of the capacity, then 90/6 people is 1/7 of the capacity. And, 90 / 6 = 15
So, 15 people is 1/7 of the capacity. It means, the full capacity is 7/7.
Full capacity = 15 * 7 = 105
Hence, the capacity of the airplane is 105 passengers.
What is capacity of passenger?Capacity of passengers are the total number of seats and berths and the total number of authorized standing places which available in a passenger vehicle when doing the service for what it is intended. The maximum passenger capacity in airplane means the maximum number of passenger seats for that an aircraft is configured.
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Although part of your question is missing, you might be referring to this full question: An airplane is carrying 90 passengers, which is 6/7 of the capacity of the airplane. What is the capacity of the airplane?
to study the diameter of the trunks of white pine in a national forest, 50 trees were selected by using random latitude/longitude coordinates. if a point fell within the canopy of a tree, the tree was included in the sample. if not, another random location was generated. what error is likely to result from this study design?
The study design of selecting 50 trees using random latitude/longitude coordinates may result in sampling error and measurement error, which could affect the accuracy of the results.
The error that is likely to result from this study design is known as "sampling error" because the sample of 50 trees is not necessarily representative of the entire population of white pine trees in the national forest as these trees were selected by chance.
If the sample of 50 trees were selected from a particular area of the forest where the trees were smaller in diameter, the study results would not accurately reflect the average diameter of all the white pine trees in the forest.
Moreover, there is a possibility of measurement error if the diameter of the trunks were not measured consistently. This could also contribute to the overall error in the study results.
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What is sample space in set?
The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolizes one potential experiment result.
How does sample space work?The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolises one potential experiment result.
The sample space is a set in probability theory that includes all potential results of a random experiment. The set of all potential outcomes or outcomes of a random experiment is referred to as a sample space. The set 1, 2, 3, 4, 5, and 6 might be the sample space, for instance, if we are rolling a die.
A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the situation, either a finite or infinite sample space
A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the nature of the experiment, the sample space may be either finite or limitless. A sample point is a component of the sample space that symbolises one potential result of the experiment. As it offers a framework for defining and computing probabilities, the sample space is a basic idea in probability theory.
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How many inches in 2 meters?
78.740 inches in 2 meters. 2 meters equals 6.56168 ft. One meter is equivalent to 3.28084 ft.
How many feet does one meter equal?If you want to know how many feet are in two meters, multiply the number of meters by 2. (the number of feet you have). You can infer from this that 2 meters is equivalent to 6.56168 ft.In the traditional system of measurement, one inch can be referred to as a unit of length. Inches of length are either denoted by in or by ". 5 inches, for instance, can be expressed as 16 inches or 16". A yard and an inch are equivalent. A measurement of 1 inch is about equivalent to 2.54 cm.For instance, the length of your adult thumb from tip to first knuckle is generally about 1 inch. A paperclip, a sewing pin, a water bottle cap, a U.S. quarter, or a $1 Canadian coin are also acceptable substitutes.2 meters into inches
1 inch = 39.370
2 meters = 2 × 39.370
Then we get ,
= 78.740 inches
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1. Alex can't believe how many shoes Olivia has. He decides to estimate the mean number of shoes female students have, on
average, at Olympia High School. Alex took an SRS of 25 students and recorded the number of pairs of shoes students reported
having.
The 95% confidence interval for the mean number of shoes owned by female students is (95.58, 195.14).
Calculate the sample mean:
Total number of shoes = 45+31+3125+62+15+29+27+28+35+18+55+18+39+28+35+44+18+10+55+50+40+38+22+16 = 3634
Sample mean = 3634/25 = 145.36
Calculate the standard deviation:
Standard deviation = √[(45-145.36)² + (31-145.36)² + (3125-145.36)² + … + (16-145.36)²]/24 = 586.33
Calculate the margin of error:
Margin of error = 1.96∗586.33/√25 = 49.78
Calculate the 95% confidence interval:
Lower bound = 145.36 - 49.78 = 95.58
Upper bound = 145.36 + 49.78 = 195.14
Since the sample mean is not an integer, we must round the lower and upper bounds to the nearest integer, which gives us (29.73, 40.27) as the 95% confidence interval for the mean number of shoes owned by female students.
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find the angles between the planes in exercises 47 and 48. 47. x y = 1, 2x y - 2z = 2
47.) The angle between the plane is 0 degrees.
48.) The angle between the plane is 180 degrees.
What is the angle between the plane?
To find the angle between two planes, we need to find the normal vectors of each plane and then find the cosine of the angle between the normal vectors using the dot product.
First, let's find the normal vectors for the two planes:
Plane 1: x + y = 1
The normal vector for this plane can be found by taking the coefficients of x, y, and z and forming a vector:
n1 = ⟨1, 1, 0⟩
Plane 2: 2x + y - 2z = 2
The normal vector for this plane can be found in the same way:
n2 = ⟨2, 1, -2⟩
Next, we will find the cosine of the angle between the normal vectors using the dot product:
cosθ = (n1 • n2) / (|n1| * |n2|)
where |n1| and |n2| are the magnitudes of the normal vectors.
Calculating the dot product and magnitudes:
n1 • n2 = 1 * 2 + 1 * 1 + 0 * -2 = 3
|n1| = sqrt(1^2 + 1^2 + 0^2) = sqrt(2)
|n2| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9)
Substituting into the formula:
cosθ = 3 / (sqrt(2) * sqrt(9)) = 3 / (3) = 1
Since cosθ = 1, θ = 0, so the angle between the two planes is 0 degrees or a coincident plane.
Next, let's find the normal vectors for the two planes:
Plane 1: 5x + y - z = 10
The normal vector for this plane can be found by taking the coefficients of x, y, and z and forming a vector:
n1 = ⟨5, 1, -1⟩
Plane 2: x - 2y + 3z = -1
The normal vector for this plane can be found in the same way:
n2 = ⟨1, -2, 3⟩
Next, we will find the cosine of the angle between the normal vectors using the dot product:
cosθ = (n1 • n2) / (|n1| * |n2|)
Calculating the dot product and magnitudes:
n1 • n2 = 5 * 1 + 1 * (-2) + -1 * 3 = -3
|n1| = sqrt(5^2 + 1^2 + (-1)^2) = sqrt(27)
|n2| = sqrt(1^2 + (-2)^2 + 3^2) = sqrt(14)
Substituting into the formula:
cosθ = -3 / (sqrt(27) * sqrt(14)) = -3 / (3 * sqrt(2)) = -sqrt(2) / sqrt(2) = -1
Since cosθ = -1, θ = 180 degrees, so the angle between the two planes is 180 degrees, or perpendicular.
Hence,
47.) The angle between the plane is 0 degrees.
48.) The angle between the plane is 180 degrees.
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What does spillage refer to Cyber Awareness Challenge 2022?
The spillage refer to Cyber Awareness Challenge 2022 is explained below.
The Cyber Awareness Challenge 2022 is an important event that focuses on raising awareness about the dangers and risks associated with the use of technology and the internet.
In this context, spillage refers to the accidental or unintentional release of sensitive information. This can be caused by a variety of factors, including human error, technical glitches, and malicious attacks.
In addition, the challenge will explore the consequences of spillage, such as identity theft, financial loss, and reputational damage. This is why it is so important to take the challenge seriously and to understand the importance of cyber awareness and security.
By participating in the Cyber Awareness Challenge 2022, students will gain valuable skills and knowledge that will help them protect themselves and their information in the digital world
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write each of these ratios in its simplest form 102:99:87
Answer:
34:33:29
Step-by-step explanation:
all #s can be divided by 3
34:33:29
REALLY EASY QUESTION!
The city council voted on a new tax. The council has 85 members and 20% of the council members voted in favor of the new tax. How many members voted in favor of the tax?
20% of the council members voted in favor of the new tax, which is equal to 0.20 * 85 = 17 council members.
the function of f(x)= 4x^4 + 23x^3 + 43x^2 + 33x + 9 has at least two rational roots. Use the rational root theorem to find these roots, then proceed to find all complex roots. (Note: roots may be integer, rational, irrational, and/or complex)
PLS HELP ME ITS DUE TONIGHT AT 11:59
Answer:
f'(x)=16x³+69x²+86x+33
URGENT!!!
Solve the triangle: If it is not possible, say so.
Therefore , the solution of the given problem of triangle comes out to be it is unsolvable as the all the information is not given option A is correct.
What does a triangle signify exactly?Polygons include triangles since they have four sides or more. It has a simple, geometric shape. The letters ABC make up a triangle, which is a square angle. Euclidean geometry results in a single rectangle or square so when sides remain not coincident. Because they have 3 components and three corners, triangles are polygons. A triangle's corners are where its three sides meet. The total of the angles in a triangle is 180 degrees.
Here,
Given :
=> α = 60°
=> β = 60°
=> γ = 60°
To solve the triangle we need to know the angles,
Since all the angles are equal to 60 degree
it seems it is an equilateral triangle having all the same sides
So,
it can be option b,c and d
but here is not mentioned the side length.
Thus, it is unsolvable.
Therefore , the solution of the given problem of triangle comes out to be it is unsolvable as the all the information is not given option A is correct.
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what percentage of american adults are victims of identity theft each year? question 18 options: about 7 percent. less than 1 percent. about 19 percent. more than 25 percent. about 13 percent.
More than 25 percent of American adults are victims of identity theft each year.
What percentage of Americans are victims of identity theft?33% of Americans have experienced identity theft in some capacity. In comparison to other countries, the United States has about three times as many identity theft scenarios. According to reports, about 33% of Americans have experienced an attempt at identity theft at some point in their life.Up to 9 million Americans per year, according to the Federal Trade Commission (FTC), have had their identities stolen. You may discover crime prevention strategies and what to do if you become a victim by learning about this subject.According to Javelin Strategy, 15 million Americans are expected to have had their identities stolen in 2021.Learn more about Theft in America refer to :
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Solve the inequality 5x>-15 for x
Answer:
x>-3
Step-by-step explanation:
Divide both sides by 5
x > -3
-15/5 = -3
The Poolas family likes to hike along the Purple Mountain Trail. They hiked the same distance each day for 6 days, traveling a total of 25 miles. How many miles did they hike each day? Express your answer as both a fraction greater than 1 and a mixed number
If Poolas family hiked the same distance each day for 6 days, traveling a total of 25 miles, the number of miles they hiked every day is:
4 1/6 miles each day.
We are trying to find the distance that the Poolas hiked each day. We know that they hiked a total of 25 miles in 6 days.
To find the distance they hiked each day, we divide the total distance by the number of days:
25 / 6 = 4 1/6So the Poolas family hiked 4 1/6 miles each day. This answer can be expressed as a mixed number, where the whole number is 4 and the fraction is 1/6.
A mixed number is a number that combines a whole number and a fraction. In this case, the whole number represents the number of whole miles the Poolas hiked, and the fraction represents the extra distance beyond a whole mile that they hiked.
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PLEASE HELP!!! A right cone has a base with diameter 6 units. The volume of the cone is 72π cubic units.
What is the length of a segment drawn from the apex to the edge of the circular base
(slant height)?
Round to the nearest tenth. This is a multi-step problem so do not round until the final answer.
The segment drawn from the apex to the edge of the circular base is __ units.
The slant height of the right cone is 24.2 units, rounded to the nearest tenth.
What is the Pythagorean Theorem?
The Pythagorean theorem is a mathematical theorem that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be expressed as c² = a²+ b².
The slant height of a right cone can be found by using the Pythagorean Theorem. The radius of the circular base is half the diameter, which is 6/2 = 3 units. The volume of the cone can be found using the formula:
V = (π/3)r²h
Where r is the radius, and h is the height of the cone. Plugging in the given values, we have:
72π = (π/3)r²h
72π = (π/3)3²h
72π = (π/3)9h
72π = 3πh
24 = h
Using the Pythagorean Theorem, we can find the slant height as follows:
c² = a² + b²
Where a and b are the height and radius of the cone, and c is the slant height. Plugging in the values we have:
c² = 24² + 3²
c² = 576 + 9
c² = 585
c = 24.2
Hence, the slant height of the right cone is 24.2 units, rounded to the nearest tenth.
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Find sn for the arithmetic series where a1=−20 , n=25 , an=148
The value of the sum of the series is 160
How to determine the sum of the seriesIn an arithmetic series, the sum of the first "n" terms (Sn) is given by the formula:
Sn = n/2 * (a1 + an)
Where "a1" is the first term and "an" is the nth term.
In this series, n = 25, a1 = -20, and an = 148.
Plugging these values into the formula, we get:
Sn = 25/2 * (-20 + 148)
= 25/2 * 128
= 25 * 64
= 1600
So, the sum of the first 25 terms of the arithmetic series is 1600.
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Which of the following statements are TRUE? (Check all that apply) In C, arrays are passed by value In C, when swapping two elements of an array in a procedure, an entire array must be passed to it (i.e. there is no other way to write this procedure), e.g. procedure swapEls in the lecture example. In C, like in Java, all primitive types are by default passed by value In C, unlike in Java, primitive types can be passed by reference using pointer notation In the C examples used so far, arrays are allocaed on the stack In Java, when an array is created, the new operator is used and hte array is allocated on the stack
Arrays in C and Java are similar in that they are used to store collections of elements, but the way they are passed, stored, and manipulated is different.
Arrays are a fundamental data structure in C and Java programming languages. In both languages, arrays are used to store a collection of elements with the same data type.
However, arrays can also be passed by reference using pointer notation.
This means that changes made to the array in the function are reflected in the original array.
When swapping two elements of an array in C, an entire array must be passed to a function, as there is no other way to write this procedure.
The stack is a portion of memory that is used for storing function calls and variables declared inside functions.
When a function is called, the stack grows and when the function returns, the stack shrinks.
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Help ill give brainlist
tape timer creates dots at a rate of 28 hz, what time interval in seconds does 3 successive dots represent?
Hz (Hertz) is a unit of frequency, which measures the number of events or occurrences of a certain phenomenon per second. In this case, the tape timer creates 28 dots per second, which means that the frequency of dot creation is 28 Hz.
To find the time interval between 3 successive dots, we need to calculate the time it takes for the tape timer to create 3 dots. This can be done by dividing the total time by the number of dots created.
Since the tape timer creates 28 dots per second, the time interval between 3 dots can be calculated as follows:
Time interval = 1 second / 28 dots = 1/28 seconds
So, the time interval between 3 successive dots created by the tape timer is 1/28 seconds, which is the amount of time that elapses between the creation of each dot.
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What type of money are included in the M2 category? Check all that apply. Currency
aving account
checking account
commodity money
hort-term invetment account
In addition to M1 (cash and coins held by nonbanks, checkable deposits, and traveler's checks), M2 is a measurement of the amount of money in circulation in the United States.
What is M2 Monetary Aggregate?In its H.6 Statistical Release, the Board of Governors publishes M2 data.It also includes shares of retail money market mutual funds and small time deposits under $100,000.The St. Louis Fed Research Department's library of more than 800,000 U.S. and worldwide economic time series, FRED (Federal Reserve Economic Data), contains additional long-term M2 charts and historical data.M2 is made up of M1 plus (1) small-denomination time deposits (time deposits with sums under $100,000) minus IRA and Keogh balances at depository institutions, and (2) retail money market fund (MMF) holdings less IRA and Keogh balances at MMFs. Small-denomination time deposits and retail MMFs, which are both individually seasonally adjusted, are added to seasonally adjusted M1 to create seasonally adjusted M2, which is then calculated.To Learn more About M2 is a measurement Refer To:
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2.) Bob is packing gift bags for a different party. Each gift bag must
include the same amount of each item. He has 96 glow sticks, 80 trading
cards, and 48 stickers.
a.) What is the maximum number of bags Bob can pack with each bag
having the same amount of items? (For example, one bag cannot have 5
glow sticks while another bag has only 4 glow sticks.)
The maximum number of bags Bob can pack with each bag having the same amount of items will be 16.
The largest common factor between two or more numbers is known as the GCF (Greatest Common Factor). We will identify the few factors that are shared by the given numbers once all the factors of the two or more numbers have been eliminated or recorded. The greatest common factor is the one with the highest number of common factors.
Given that Bob is packing gift bags for a different party. Each gift bag must
include the same amount of each item. He has 96 glow sticks, 80 trading
cards, and 48 stickers.
The maximum number of bags Bob can pack with each bag having the same amount of items is calculated as;-
96 = 2 x 2 x 2x 2x2x 3
80 = 2x 2x 2x 2x 5
48= 2x 2x 2x 2x 3
The GCF = 2 x 2x 2x 2 = 16
Hence, the maximum quantity of bags Bob can pack with the same number of items in each bag, making a total of 16.
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Are all arithmetic sequences continuous?
please answer will give brainliest all of them
The light post's height is 21 metres higher than the structure,
What is the light post's height?A lamp post is 45 feet away from where you are. You are standing at a 36" angle and are 5 feet tall as you stare up at the top of the light post.
tan 60 degrees is equal to 36/x sqrt(3),
36/x, and 36/(sqrt(3))*m. sqrt (3)
36/3 = 36 - h
h = 36 - 12
h = 24m
The distance between AB and CD is thus
60/(sqrt(3)) * 1.
The light post is 24 metres tall.
The light post's height is 45 -24 =21 metres higher than the structure, which is 21 metres higher.
The light post's height is 21 metres higher than the structure,
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The following dot plot represents student scores on both the Unit 1 and Unit 2 math tests. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests has more variation than the other or is the variation about the same for both tests? Use complete sentences in your answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your answer and explain your reasoning.
The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.
Part 1: Looking at the data plots, it appears that the students scored better on the Unit 1 test than on the Unit 2 test. The Unit 1 test has more variation than the Unit 2 test, as there are more scores clustered towards either end of the scale, with fewer scores in the middle.
Part 2: The mean of the Unit 1 test is 77 and the mean absolute deviation is 11. This was calculated by adding up all of the scores and dividing by the total number of scores, which was 11. The mean absolute deviation was calculated by subtracting the mean from each score, taking the absolute value, and then taking the average of all of the absolute values.
Part 3: The results from Part B do support the hypothesis from Part A, as the mean score for the Unit 1 test is higher than the mean score for the Unit 2 test, as well as the mean absolute deviation for the Unit 1 test is higher than the mean absolute deviation for the Unit 2 test. This indicates that the Unit 1 test has more variation than the Unit 2 test, suggesting that the students scored better on the Unit 1 test.
The results from Part B support the hypothesis from Part A, indicating that the students scored better on the Unit 1 test and that the Unit 1 test has more variation than the Unit 2 test.
Learn more about absolute deviation here:
https://brainly.com/question/10528201
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