Compute the standard deviation of the following set of data to the nearest whole number. 10, 10, 15, 20, 25

The standard deviation of the data set will be found as follows:

10, 10, 15, 20, 25

mean = (10+10+15+20+25) / 5=80/5=16

next we find the:

∑ (x-μ) ²

where:

μ - mean

thus

∑ (x-μ) ²=[ (10-16) ² + (10-16) ² + (15-16) ² + (20-16) ² + (25-16) ²]=206

hence the variance will be:

Var (x) = ∑ (x-μ) ² / (n-1)

=206 / (4-1)

=51.6

thus the standard deviation will be:

σ=√51.6

σ=7.176