High School

Calculate the sample standard deviation for the following data set:

Body Temperatures (in °F) of Adult Males: 97.0, 96.4, 98.5, 98.6, 96.4, 97.9, 99.1, 98.3, 96.3, 98.8, 98.9, 98.9, 99.3, 99.4, 97.8, 97.1, 98.1, 97.7, 96.8, 96.8.

A. 0.4
B. 0.6
C. 1.0
D. 1.2

Answer :

Final answer:

The sample standard deviation for the given data set is approximately 1.2.

Explanation:

To calculate the sample standard deviation for the given data set, we can follow these steps:

  1. Find the mean of the data set by summing up all the values and dividing by the total number of values.
  2. For each value, subtract the mean and square the result.
  3. Find the sum of all the squared differences.
  4. Divide the sum by the total number of values minus 1.
  5. Take the square root of the result to find the sample standard deviation.

Using these steps, the sample standard deviation for the provided data set is approximately 1.2 (option D).

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