KiylaY271077 KiylaY271077
  • 31-10-2022
  • Mathematics
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Find the standard deviation of this sample of times. ROUND YOUR ANSWER TO DECIMAL PLACES

Find the standard deviation of this sample of times ROUND YOUR ANSWER TO DECIMAL PLACES class=

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GastonO412444 GastonO412444
  • 31-10-2022

The formula for calculating standard deviation of a sample is expressed as

Standard deviation = √Σ(x - mean)^2/(n - 1)

where

n = the number of samples = 5

Mean = (17 + 20 + 44 + 39 + 40)/5

Mean = 32

Σ(x - mean)^2 = (17 - 32)^2 + (20 - 32)^2 + (44 - 32)^2 + (39 - 32)^2 + (40 - 32)^2 = 626

n - 1 = 5 - 1 = 4

Standard deviation = √(626/4)

Standard deviation = 12.51

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