Question

erica enjoys posting pictures while on summer vacation. listed below is the number of likes the past 6 pictures each received. 11, 9, 36, 28, 7, 41 what is the mean absolute deviation of these numbers? □ 78 □ 22 □ 13 □ 3.67

Explanation:

Step1: Calculate the mean

First, find the sum of the numbers: \(11 + 9 + 36 + 28 + 7 + 41 = 132\).
There are 6 numbers, so the mean \(\bar{x}=\frac{132}{6}=22\).

Step2: Find absolute deviations

Calculate the absolute difference between each number and the mean:

• \(|11 - 22| = 11\)
• \(|9 - 22| = 13\)
• \(|36 - 22| = 14\)
• \(|28 - 22| = 6\)
• \(|7 - 22| = 15\)
• \(|41 - 22| = 19\)

Step3: Calculate the mean of absolute deviations

Sum these absolute deviations: \(11 + 13 + 14 + 6 + 15 + 19 = 78\).
Then divide by the number of data points (6): \(\frac{78}{6}=13\).

Answer:

13