Question

10. (10 pts) The follow data represent the ages of every student in a math class. Take a random sample of 5 students’ ages and calculate the sample mean age by hand to estimate the population mean age. Also calculate the sample standard deviation by hand.

22 24 25 26 23 21 27 25 25

26 22 19 24 25 26 23 22 22

25 21 23 25 24 22 21 26 23

25 24 26 28 25 23 27 23

Hand in:

a) A description of the individual, variable, population and sample.

b) A description of the process you went through to actually collect the random sample.

c) The work showing the calculation of the mean and standard deviation by hand. (You may use a basic calculator for the arithmetic.)

d) A sentence explaining the meaning of the standard deviation in terms of the students’ ages.

Answer 1