Question

Consider the following data: 5,−5,5,−5,−5,14,5. Calculate the value of the sample standard deviation. Round your answer to one decimal place.

Answer 1

To calculate the sample standard deviation, find the mean of the data set, subtract the mean from each data point, square each difference, find the mean of the squared differences, and take the square root of the mean.

Step-by-step explanation:

The sample standard deviation measures the amount of variation or dispersion in a set of data. To calculate the sample standard deviation:

1. Find the mean of the data set.
2. Subtract the mean from each data point.
3. Square each difference.
4. Find the mean of the squared differences.
5. Take the square root of the mean.

For the given data set, the mean is 1.7143. After subtracting the mean from each data point, squaring each difference, finding the mean of the squared differences, and taking the square root of the mean, the sample standard deviation is approximately 5.995.