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Find the average distance each data value in the set is from the mean. Round your answer to the nearest tenth, if necessary.

Prices of kites at a shop: $7,$20,$9,$35,$12,$15,$7,$10,$20,$25$7,$20,$9,$35,$12,$15,$7,$10,$20,$25


The average distance from the mean is $?

Verified Answer :

Answer:

The average distance from the mean is:

                       $ 7.2

Step-by-step explanation:

We are given data points as:

$7, $20 , $9 , $35 , $12 , $15 , $7 , $10 , $20 , $25 , $7 , $20 , $9 , $35 , $12 , $15 , $7 , $10 , $20 , $25

The mean of the data set is:

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Now we are asked to find the average distance from the mean or MAD of the data.

The absolute difference of each data point from mean is calculated as follows:

|7-16|=9

|20-16|=4

|9-16|=7

|35-16|=19

|12-16|=4

|15-16|=1

|7-16|=9

|10-16|=6

|20-16|=4

|25-16|=9

|7-16|=9

|20-16|=4

|9-16|=7

|35-16|=19

|12-16|=4

|15-16|=1

|7-16|=9

|10-16|=6

|20-16|=4

|25-16|=9

Hence, the mean of these absolute difference is calculated by:

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             Hence, the answer is:

                           $ 7.2