MATH SOLVE

5 months ago

Q:
# 2. Given the data 21, 13, 13, 37, 13, 23, 25, 15:What is the outlier in the data?What is the mean with the outlier?What is the mean without the outlier?

Accepted Solution

A:

First let us define what an outlier is:A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.21, 13, 13, 37, 13, 23, 25, 15Rearranging the data in ascending order,13, 13, 13, 15, 21, 23, 25, 37As we can see 37 is the outlier here as it way too bigger than other numbers.Calculating mean with the outlier:mean is found using the formula:[tex] mean =\frac{ sum of all the data values}{number of data values } [/tex]number of data values= 8sum of data values = 13+13+13+15+21+23+25+37=160Mean = 160/8 = 20With the outlier mean is 20.Calculating mean without outlier:Number of data values = 7sum of data values = 13+13+13+15+21+23+25=123Mean = 123 /7 = 17.57Mean without outlier is 17.57