Question

The following dats represent the weights (i) grams) of a random sample of 50 candes. (a) Determine the cample standard deviation weiphit. (Round to two decimal places as needed)

Answer 1

To find the sample standard deviation, calculate the mean of the data points and then use the formula s = sqrt((sum((xi - mean)^2)) / (n - 1)), where s is the sample standard deviation, xi is each data point, mean is the mean of the data points, and n is the number of data points.

Step-by-step explanation:

To determine the sample standard deviation, you need to calculate the mean and then calculate the sum of the squared differences between each data point and the mean. Take the square root of the sum divided by the number of data points minus one. In this case, you have 50 data points, so the formula is:

s = sqrt((sum((xi - mean)^2)) / (n - 1))

where s is the sample standard deviation, xi is each data point, mean is the mean of the data points, and n is the number of data points.

Calculate the mean by summing all the data points and dividing by the number of data points:

mean = sum(xi) / n

Then substitute the calculated mean into the formula to calculate the sample standard deviation.