#### Select the outlier in the data set. If the outlier were removed from the data set, would the mean increase or decrease?

9, 70, 82, 65, 41, 59, 98, 57, 84, 63

Anonymous

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9, 70, 82, 65, 41, 59, 98, 57, 84, 63

Krishna

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Step 1: Know about the outlier.

NOTE: An outlier is an extreme value in a data set that is either much

larger or much smaller than all the other values.

GIVEN: 9, 70, 82, 65, 41, 59, 98, 57, 84, 63

Step 2: Identify the outlier

look for the value that is either much larger or much smaller than all the

other values. The value 9 is an outlier because it is much smaller than all

other values.

Outlier is "9"

Step 3: Find the mean after removing the outlier.

9, 70, 82, 65, 41, 59, 98, 57, 84, 63

Mean = \frac{\text{ Sum of the variables}}{\text{Total number of variables}}

Sum of the numbers = 628

There are 10 numbers

So, Mean = \frac{628}{10}

Mean = 62. 8

Remove the outlier and find the mean

Remove outlier 9 from the numbers

70, 82, 65, 41, 59, 98, 57, 84, 63

Sum of the numbers = 619

There are 9 numbers

Mean = \frac{619}{9}

Mean = 68.777777

Hence, removing the outlier causes the mean to increase.