Question

youre trying to find the mean absolute deviation for this sample. start by recording the distance from the mean, 17, for each game in the sample.
number of points scored
points: 29, 1, 22, 19, 12, 4, 16, 24, 22, 21
distance from 17: 12, blank, blank, blank, blank, blank, blank, blank, blank, blank

Explanation:

Step1: Recall distance formula

The distance from a number \( x \) to the mean \( \mu \) is \( |x - \mu| \). Here, \( \mu = 17 \).

Step2: Calculate for \( x = 1 \)

\( |1 - 17| = | - 16| = 16 \)

Step3: Calculate for \( x = 22 \)

\( |22 - 17| = |5| = 5 \)

Step4: Calculate for \( x = 10 \)

\( |10 - 17| = | - 7| = 7 \)

Step5: Calculate for \( x = 12 \)

\( |12 - 17| = | - 5| = 5 \)

Step6: Calculate for \( x = 4 \)

\( |4 - 17| = | - 13| = 13 \)

Step7: Calculate for \( x = 16 \)

\( |16 - 17| = | - 1| = 1 \)

Step8: Calculate for \( x = 24 \)

\( |24 - 17| = |7| = 7 \)

Step9: Calculate for \( x = 22 \) (second 22)

\( |22 - 17| = |5| = 5 \)

Step10: Calculate for \( x = 21 \)

\( |21 - 17| = |4| = 4 \)

Answer:

For each game (from left to right after the first filled 1): 16, 5, 7, 5, 13, 1, 7, 5, 4