The scores from a population are as follows: 58, 41, 75, 38, 47, 56, 41, 36, 55, 39.
a. Calculate the population standard deviation.
b. Assume that you randomly drew the scores 38, 55, and 41 from that population. Calculate the sample standard deviation using the sample scores.
c. Why is the sample standard deviation usually smaller than the population standard deviation?
d. What can be done to compensate for the underestimation of the sample standard deviation?

Question

Quizplus · Accepted Answer

The Answer of The scores from a population are as follows: 58, 41, 75, 38, 47, 56, 41, 36, 55, 39.
a. Calculate the population standard deviation.
b. Assume that you randomly drew the scores 38, 55, and 41 from that population. Calculate the sample standard deviation using the sample scores.
c. Why is the sample standard deviation usually smaller than the population standard deviation?
d. What can be done to compensate for the underestimation of the sample standard deviation?

The Scores from a Population Are as Follows: 58, 41