Question

Calculate the standard deviation for the data 1.5-2,2-2.5,2.5-3,3-3.5

Answer 1

To calculate the standard deviation for the given 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 for the given data, you can follow these steps:

1. Find the mean (average) of the data.
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 to find the standard deviation.

For example, for the data 1.5, 2, 2.5, and 3, the mean is 2.25. Subtracting the mean from each data point gives -0.75, -0.25, 0.25, and 0.75. Squaring these differences gives 0.5625, 0.0625, 0.0625, and 0.5625. The mean of the squared differences is 0.3125. Taking the square root of the mean gives a standard deviation of approximately 0.559.