Question

The data set shows the admission prices at several museums. $20, $20, $16, $12, $15, $25, $11 Find and interpret the range, interquartile range, and mean absolute deviation of the data. The range is . The interquartile range is . The mean absolute deviation is . Question 2 The prices vary by no more than $ . The middle half of the prices vary by no more than $ . The admission prices differ from the mean price by an average of $ . 7 of 8 answered need help?check answer Next

Answer 1

11, 12, 15, 16, 20, 20, 25

Mean: 17

The range is 25-11 = 14 (the numbers in bold)

The interquartile range is 20-12=8 (the numbers underlined)

The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8 (28) and dividing by 7.

Part B:

The prices vary by no more that $14 (range).

The middle half of the prices vary by no more than $8 (IQR).

The admission prices differ from the mean price by an average of $4 (MAD).

Explanation:

Answer 2

11, 12, 15, 16, 20, 20, 25
Mean: 17

The range is 25-11 = 14 (the numbers in bold)

The interquartile range is 20-12=8 (the numbers underlined)

The mean absolute deviation is: 4; this is found by finding how far each number is from 17 (mean): 6,5,2,1,3,3,8 (28) and dividing by 7.

Part B:

The prices vary by no more that $14 (range).

The middle half of the prices vary by no more than $8 (IQR).

The admission prices differ from the mean price by an average of $4 (MAD).