Question

Use the data given below to answer the following questions 68,63,67,66,65,87,69,61,86,82,28, a. What is the outlier of the data? Explain why you consider this number the outlier b.Calculate the mean of the given data set.You must show your work to receive all possible points.c. Calculate the mean of the given data set excluding the outlier value. You must show your work to receive all possible points

Answer 1

the outlier is 28 because there is a big gap between 28 and 61

to find the mean add all the numbers together then
divide the number of values added

Answer 2

A)28

B)67.45

C)71.4

Explanation:

We are given the following data:

68,63,67,66,65,87,69,61,86,82,28

a) The outlier in the data is 28 as we can clearly see all the data points in the given data set ranges from 60 to 88 but their is a single entry of 28 which is different.

b)
`Mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}\\\\ = (68+63+67+66+65+87+69+61+86+82+28)/(11)\\\\=(742)/(11) = 67.45`

c)
`Mean = \frac{\text{Sum of all observations}}{\text{Total number of observations}}\\\\ = (68+63+67+66+65+87+69+61+86+82)/(10)\\\\=(714)/(10) = 71.4`