Question

This date is that represents the number of likes Julia had on her last 10 Instagram posts 17 19, 21,23, 28,31 31,34, 35, 36 Which of the following is the MAD of the data set and explains what the value means for this Data.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The MAD (Mean Absolute Deviation) is a measure of the average distance between each data point and the mean of the data set.

To calculate the MAD for Julia's Instagram post likes:
First, calculate the mean of the data set:
(17 + 19 + 21 + 23 + 28 + 31 + 31 + 34 + 35 + 36) / 10 = 27.5

Next, calculate the absolute deviations of each data point from the mean:
|17-27.5| = 10.5
|19-27.5| = 8.5
|21-27.5| = 6.5
|23-27.5| = 4.5
|28-27.5| = 0.5
|31-27.5| = 3.5
|31-27.5| = 3.5
|34-27.5| = 6.5
|35-27.5| = 7.5
|36-27.5| = 8.5

Now, calculate the average of these absolute deviations:
(10.5 + 8.5 + 6.5 + 4.5 + 0.5 + 3.5 + 3.5 + 6.5 + 7.5 + 8.5) / 10 = 5.1

Therefore, the MAD of the data set is 5.1. This means that, on average, the number of likes on Julia's Instagram posts deviate from the mean of 27.5 by approximately 5.1 likes.