Question

The heights of 7 people in inches are as follows: 60, 64, 58, 60, 70, 71, 65. The mean height is 64 inches. What is the mean absolute deviation?a) 2 inches

b) 3 inches
c) 4 inches
d) 5 inches

Answer 1

The mean absolute deviation of the given set of heights is 4 inches. Hence the correct answer is option C

Step-by-step explanation:

To find the mean absolute deviation, we need to calculate the deviation of each data point from the mean, and then find the average of these deviations.

Step 1: Subtract the mean (64) from each data point to find the deviation: (60-64) = -4, (64-64) = 0, (58-64) = -6, (60-64) = -4, (70-64) = 6, (71-64) = 7, (65-64) = 1.

Step 2: Take the absolute value of each deviation: |-4| = 4, |0| = 0, |-6| = 6, |-4| = 4, |6| = 6, |7| = 7, |1| = 1.

Step 3: Find the average of the absolute deviations: (4+0+6+4+6+7+1)/7 = 4.14 inches. Rounded to the nearest whole number, the mean absolute deviation is 4 inches.

Hence the correct answer is option C