Question

Calculate the standard deviation of the following data: 3, 4, 5, 6, 2, 3, 12, 79, 5.

a) 26.3
b) 24.8
c) 694.2
d) 616.9

Answer 1

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

Step-by-step explanation:

To calculate the standard deviation of a set of data, follow these steps:

1. Find the mean of the data set.
2. Subtract the mean from each data point and square the result.
3. Find the mean of the squared differences.
4. Take the square root of the mean from step 3 to find the standard deviation.

For the given data set 3, 4, 5, 6, 2, 3, 12, 79, 5, the mean is 14. Standard deviation is calculated as follows:
1. Subtract the mean from each data point: -11, -10, -9, -8, -12, -11, -2, 65, -9.
2. Square the differences: 121, 100, 81, 64, 144, 121, 4, 4225, 81.
3. Find the mean of the squared differences: 746.5.
4. Take the square root of the mean: √746.5 ≈ 27.3.