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For the data set 16, 17, 18, 19, 30, the mean is 20. What is the mean absolute deviation?

a. the mean absolute deviation is 20

b. the mean absolute deviation is 4

c. the mean absolute deviation is 16

d. the mean absolute deviation is 5​

Answer:

The mean absolute deviation is 4.

Step-by-step explanation:

Test appoved

For the data set 16, 17, 18, 19, 30, the mean is 20,  the mean absolute deviation is 4. Option B is the answer.

Calculate the mean:

(16 + 17 + 18 + 19 + 30) / 5

= 100 / 5

= 20

Find the absolute difference for each data point by subtracting the mean from each data point and taking the absolute value:

|16 - 20| = 4

|17 - 20| = 3

|18 - 20| = 2

|19 - 20| = 1

|30 - 20| = 10

Calculate the average of these absolute differences:

(4 + 3 + 2 + 1 + 10) / 5 = 20 / 5 = 4

Therefore, the mean absolute deviation (MAD) is 4.

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