Exercise on Samples and Populations

Consider the following population of values. We could say that it is a table of x1 through x100 for the random variable X.

30

15

28

29

25

48

17

36

33

30

13

10

40

36

37

21

30

25

12

30

49

40

41

40

20

25

64

34

33

45

33

28

20

26

32

30

32

27

30

7

12

22

36

48

35

33

31

23

27

12

34

39

24

20

33

54

20

37

19

39

17

27

35

17

9

28

13

26

43

21

36

13

41

38

29

24

36

45

26

17

30

17

18

50

34

33

30

39

32

40

33

35

32

33

23

44

39

27

30

41

  1. Pick ten values (any ten):
    2.          
             
  2. Calculate the mean: ____________
  3. Calculate the standard deviation: ____________
    1. To do this, either use the 1 variable statistics function on a calculator, or
    2. Calculate the following values:
      1. sum of x: _____
      2. the square of the sum of x: _____
      3. sum of x2 _____
    3. Divide ii by 10 then subtract the result from iii; divide the difference by 9; take the square root
  4. Compare your statistics with the parameters.

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Anthony G Benoit  abenoit@trcc.commnet.edu
(860) 885-2386

Revised