Consider the following. 22, 11, 33, 24, 21 Compute the population standard deviation of the numbers.

smetuwh

smetuwh

Answered question

2022-09-06

Consider the following.
22, 11, 33, 24, 21
Compute the population standard deviation of the numbers.

Answer & Explanation

Haylee Branch

Haylee Branch

Beginner2022-09-07Added 7 answers

From the given information, the data is 22, 11, 33, 24, 21.
Use the following formula to compute the population mean:
μ = X N
Here, N total number of observations.
Use the following formula to compute the population standard deviation:
σ = ( x μ ) 2 N
Substitute the values in the formula.
μ = x N = 22 + 11 + 33 + 24 + 21 5 = 111 5 = 22.2
Use the following formula to compute the population standard deviation:
σ = ( 22 22.2 ) 2 + ( 11 22.2 ) 2 + ( 33 22.2 ) 2 + ( 24 22.2 ) 2 + ( 21 22.2 ) 2 5 = 0.04 + 125.44 + 116.64 + 3.24 + 1.44 5 = 49.36 = 7.025667 7.0257
Therefore, the population standard deviation is 7.0257.

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