Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What is the mean absolute deviation for the data?

20, 25, 30, 30, 45

A.
5

B.
6

C.
10

D.
25


Sagot :

[tex]\overline{x}-arithmetic\ mean\\\\\overline{x}=\frac{20+25+30+30+45}{5}=\frac{150}{5}=30\\\\the\ mean\ absolute\ deviation:\delta=\frac{|x_1-\overline{x}|+|x_2-\overline{x}|+|x_3-\overline{x}|+...+|x_n-\overline{x}|}{n}\\\\\delta=\frac{|20-30|+|25-30|+|30-30|+|30-30|+|45-30|}{5}=\frac{|-10|+|-5|+|0|+|0|+|15|}{5}\\\\=\frac{10+5+0+0+15}{5}=\frac{30}{5}=\boxed{6}\leftarrow answer[/tex]