Question

For the following set of data, find the sample standard deviation, to the nearest thousandth. 116,103,76,100,74,64,70 Copy Values for Calculator Open Statistics Calculator.

Answer 1

To find the sample standard deviation for the given set of data, you can calculate the mean, deviations from the mean, sum of squared deviations, and then take the square root of the result.

Step-by-step explanation:

To find the sample standard deviation for the given set of data, you can follow these steps:

1. Compute the mean of the data set by adding up all the numbers and dividing by the total number of values.
2. Calculate the deviation of each data point from the mean by subtracting the mean from each value.
3. Square each deviation and find the sum of all the squared deviations.
4. Divide the sum of squared deviations by the total number of values minus 1.
5. Take the square root of the result to obtain the sample standard deviation.

By applying these steps to the given data set {116, 103, 76, 100, 74, 64, 70}, you would find that the sample standard deviation is approximately 19.521.