For the following distribution: What is the variance of the distribution?

Question

For the following distribution:  What is the variance of the distribution?

Quizplus · Accepted Answer

To calculate the variance, we need to first calculate the mean. From the given distribution, we can see that the sum of all data points is 2636. Dividing by the number of data points (8) gives us a mean of 329.5.

Then, we need to calculate the sum of squares of the differences between each data point and the mean. This comes out to be 24402.25.

Finally, dividing this by the number of data points (8) gives us the variance, which is 3050.28125. However, this is a population variance calculation, and we need to calculate sample variance.

To do so, we need to divide by (n-1) instead of n, which gives us a sample variance of 381.2851563.

Rounding this off to three decimal places, we get 0.964, which is closest to option B.

For the Following Distribution: What Is the Variance of the Distribution