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Answer :
We are given the following data set
[tex]-25,10,40,-15,0,35,15,-10[/tex]We are asked to find the mean and median of the data set.
Recall that the mean of a set is given by
[tex]\operatorname{mean}=\frac{\text{sum of numbers}}{\text{total numbers}}[/tex]In this case, there are a total of 8 numbers in the set.
[tex]\operatorname{mean}=\frac{-25+10+40-15+0+35+15-10}{8}=\frac{50}{8}=6.25[/tex]Therefore, the mean of the set is 6.25
To find the median, first, arrange the set from least to greatest.
[tex]-25,-15,-10,0,10,15,35,40[/tex]The median is the number in the middle of the set.
But in this case, there are two middle numbers (0 and 10) so we will find the mean of these two numbers and that will be our median.
[tex]\operatorname{median}=\frac{0+10}{2}=\frac{10}{2}=5[/tex]Therefore, the median of the set is 5
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