Question

The standard deviation of a sample was reported to be 14. It was also given ∑(xi−x⎯⎯)2=6664. What has been the sample size? Provide insights into the calculation of sample size based on the given information.

Answer 1

To calculate the sample size based on the given information, we can use the formula for the sample variance: ∑(xi−x⎯⎯)2 / (n-1). In this case, the sum of squared differences (∑(xi−x⎯⎯)2) is given as 6664 and the sample standard deviation is given as 14. Plugging these values into the formula, we can solve for the sample size n, which is equal to 35.

Step-by-step explanation:

To calculate the sample size based on the given information, we can use the formula for the sample variance: ∑(xi−x⎯⎯)2 / (n-1). In this case, the sum of squared differences (∑(xi−x⎯⎯)2) is given as 6664 and the sample standard deviation is given as 14. Plugging these values into the formula, we get 6664 = 14^2 * (n-1). Simplifying, we find that n-1 = 6664 / (14^2) = 34. Therefore, the sample size is n = 35.