Question

Determine the standard deviation of the following data set: 8.1, 12.5, 27.6, 18.5, 13.3.​

Answer 1

Answer:Standard Deviation, σ: 6.6747284588963

Count, N: 5

Sum, Σx: 80

Mean, μ: 16

Variance, σ2: 44.552

Standard Deviation, σ: 6.6747284588963

Count, N: 5

Sum, Σx: 80

Mean, μ: 16

Variance, σ2: 44.552

Explanation:

Steps

σ2 =

Σ(xi - μ)2

N

=

(8.1 - 16)2 + ... + (13.3 - 16)2

5

=

222.76

5

= 44.552

σ = √44.552

= 6.6747284588963