Q:

A diver records the depths, in feet, of her dives. They are:    60, 58, 53, 49, 60 The mean of the data set is 56. Use the equation for variance below, along with the given data set, to answer the following questions. equation for variance What does the numerator evaluate to? What does the denominator evaluate to? The variance equals:

Accepted Solution

A:
From the given set of data:
 60, 58, 53, 49, 60
the mean is 56
the variance will be found using the formula:
variance=[Σ(x-μ)²]/N
[Σ(x-μ)²]=(60-56)²+(58-56)²+(53-56)²+(49-56)²+(60-56)²
            =16+4+9+49+16
            =94
but N=5
thus
Variance=94/5=18.8