Question

20 points please help

The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 14, 13, 16, 12, 17, 21, 26

Answer 1

3.71

Explanation:

The mean absolute deviation(MAD) of a data set is given by the formula

`$ MAD =(1)/(n) \sum_(i=1)^n |x_i-\bar{x}|$`

`n` = number of data set values. Here
`n = 7`

`\bar{x}=` mean of the data set values;
`\bar{x}=`
`(14+13+16+12+17+21+26)/7` =
`119/7=17`

`x_(i)` are the n individual values

`(1)/(7) |14-17| + |13-17| + |16-17| + |12-17| + |17-17| + |21-17| + |26-17|\\= (3 + 4 + 5 + 1+ 0 + 4 + 9)/7\\= 26/7 = 3.71428 \\`

=
`3.71 \textrm{ rounded to the nearest hundredth}` Answer