Question

Using the class sample data, analyze the student heights by completing the following. Please note the...

Using the class sample data, analyze the student heights by completing the following. Please note the following directions.

The data below was collected from a group of 45 female students last semester. You will use this data throughout the semester on your lab assignments.

Student # Gender Height Shoe Age Hand

1 F 68 8.5 20 R

2 F 60 5.5 27 R

3 F 64 7 31 R

4 F 67 7.5 19 R

5 F 65 8 20 R

6 F 66 9 29 R

7 F 62 9.5 30 L

8 F 63 8.5 18 R

9 F 60 5 19 L

10 F 63 7.5 42 R

11 F 61 7 20 R

12 F 64 7.5 17 R

13 F 65 8 19 R

14 F 68 8 19 R

15 F 63 7.5 18 R

16 F 62 7.5 19 R

17 F 64 7 23 R

18 F 72 11 28 R

19 F 62 8 20 R

20 F 59 6.5 29 R

21 F 64 8.5 19 R

22 F 68 9.5 23 R

23 F 65 9.5 34 R

24 F 63 8 27 R

25 F 65 8 23 R

26 F 62 7.5 30 R

27 F 67 7.5 31 L

28 F 66 9 37 R

29 F 61 6 24 R

30 F 61 6.5 46 R

31 F 68 8 20 R

32 F 63 7.5 42 R

33 F 63 5.5 33 R

34 F 63 9 35 R

35 F 65 8 44 R

36 F 69 9 28 R

37 F 68 9 20 R

38 F 63 7 49 R

39 F 62 6.5 19 R

40 F 66 7.5 19 R

41 F 69 7.5 55 R

42 F 69 11 40 R

43 F 63 6.5 19 R

44 F 61 7.5 20 R

45 F 68 9 19 R

1. Construct a frequency distribution of heights using: 7 classes for “Female” data. Calculate the class width using the steps presented in your textbook. Your frequency distribution should include a column for classes, class midpoints, frequencies and relative frequencies. (3 decimal places) (Remember: The first lower limit should be the MINIMUM of your data.)

2. Use your frequency distribution to construct a histogram. Label your histogram using midpoints. Your histogram should be labeled so that an outsider can completely understand it.

3. Construct a dot plot of the data. (Please make this at least 4” wide on your paper as you will be adding to this as part of #6 below.)

4. What is (are) the most common height (s)?

5. Using the women’s heights from the sample, find the following:

a. Sample size (n)

b. Sample mean (???) (1 decimal place)

c. Median

d. Mode

e. Sample standard deviation (s) (2 decimal places)

f. Sample variance (??2) (2 decimal places)

g. Range

Homework Answers

Answer #1

(1) range=maximum-minimum=72-59=13

class width=range/number of class=13/2=2 ( nearest whole number)

Class midpoint f relative frequency
59-60 59.5 3 6.7
61-62 61.5 9 20.0
63-64 63.5 13 28.9
65-66 65.5 9 20.0
67-68 67.5 7 15.6
69-70 69.5 3 6.7
71-72 71.5 1 2.2

(2 and 3) the histogram and dot plot is given as

(4) most common height =63 ( it is most repeated - 9 times )

(5)

sample size n= 45
sample mean mean= 64.4
Median= median= 64
Mode= mode= 63
sample standard deviation s 2.95
sample variance s2= 8.71

Range=max-min=72-59=13

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