High School

Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

Body Temperatures (in °F) of adult males:
98.2, 97.8, 99.2, 98.1, 96.4, 96.4, 98.9, 97.5, 97.1, 98.0, 96.5, 98.2, 96.5, 96.6, 98.4, 96.9, 97.0, 96.4, 99.2, 97.6

Answer :

On solving the provided question, we cans ay that by standard deviation, [tex]SE = 0.1590 (approx.)[/tex]

What is standard deviation?

Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed.

By sample standard deviation, we mean standard error. Hence, we have that:

Therefore, Standard deviation[tex]= 0.6929891[/tex]

The sample size [tex](n) = 19.[/tex]

Hence:

[tex]SE = 0.1589826.\\ SE = 0.1590 (approx.)[/tex]

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