Question

finding distances from the mean
the mean of robins scores was 107. complete the chart to find the absolute distances from the mean for each of robins scores.

robins scores	distance from the mean
108	1
102	x
107	y
119	z

x = y = z =

Explanation:

Step1: Calculate distance for 102

The formula for distance from the mean is \(|x - \text{mean}|\). Given mean = 107 and \(x = 102\), then \(x=|102 - 107|= 5\)

Step2: Calculate distance for 107

Given mean = 107 and \(y = 107\), then \(y=|107 - 107| = 0\)

Step3: Calculate distance for 119

Given mean = 107 and \(z = 119\), then \(z=|119 - 107|=12\)

Answer:

\(x = 5\)
\(y = 0\)
\(z = 12\)