Question

Consider the following random sample of data: -10, 7, -10, -9, 6, 2, -3, 4, 10, 82 a) What is the mean of the sample data? Round your response to at least 2 decimal places. b) If the outlier is removed, what is the mean of the remaining sample data? Round your response to at least 2 decimal places.

Answer 1

Recall that the mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

(a) The mean of the given data set is:

`\bar{x}=(-10+7-10-9+6+2-3+4+10+82)/(10)=7.9.`

(b) Recall that outliers are data points that do not fit the pattern of the rest of the numbers.

In this case, the outlier is 82, therefore the mean after removing 82 is:

`\bar{x}=(-10+7-10-9+6+2-3+4+10)/(9)=(-3)/(9)=-0.33\text{.}`

Answer:

(a)

`7.9`

(b)

`-0.33\text{.}`