Suppose you want to know the variance of the weights of the onlyfive iguanas in a particular zoo. You measure their weights to be8.3, 8.4, 8.6, 9.2, and 9.5 pounds (15 points) What was differentbetween the population variance and the sample variance? Which isbigger? Why is there a need to have a different formula? Write atleast five good sentences in answering this question. (3 points)The population standard deviation is the square root of thepopulation variance. Calculate the population standard deviationusing part (c): (3 points) The sample standard deviation is thesquare root of the sample variance. Calculate the sample standarddeviation using part (d): __________ (15 points) What is thedifference between the population standard deviation and the samplestandard deviation? When do you use each one? Write at least fivegood sentences in answering this question. (17 points) What did youdo differently between calculating the variance and the standarddeviation? What does each measure? Write at least five goodsentences in answering this question.