Question 911338
Sheryl got these scores on her spelling tests: 95,89,99,85,82. 

Step 1.) 
Find the mean of the data.

Add up {{{ 95 + 89 + 99 + 85 + 82}}}

You should get {{{450}}}

Divide {{{450}}} by {{{5}}} since there are {{{5}}} tests.

You should get {{{90}}}.

So the 1st mean is {{{9o}}}.  Don’t forget this!



Step 2.) Find out how far away each piece of data is from the 1st mean (which was {{{90}}}, remember?)

Original Test Score  || Distance away from {{{90}}}

{{{95}}},--------------------------{{{5}}}

{{{89}}},--------------------------{{{1}}}

{{{99}}},--------------------------{{{9}}}

{{{85}}},--------------------------{{{5}}}

{{{82}}}--------------------------{{{8}}}

Add up {{{5+1+9+5+8=28}}}

divide by {{{5}}} since there are {{{5}}} numbers => {{{28/5=5.6}}}

So the Mean Absolute Deviation of Sheryl’s test scores is {{{5.6}}}.

This means that the average distance each of Sheryl’s test scores is away from the original mean of {{{90}}} is {{{5.6}}} percentage points.