The data set consists of the heights of 20 randomly selected
Subject: Mathematics / Statistics
Question
The data set consists of the heights (in inches) of 20 randomly selected women. Use this data set to complete the tasks below.
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67
61
65
62
65
75
61
67
64
60
66
59
70
64
67
68
62
65
63
71
1) Construct a Frequency Distribution (including the Relative Frequency) of the data using 5 classes. Explain your selection of class width.
Lower Class Limit
Upper Class Limit
Frequency
Relative Frequency
Class Width =
2) Draw a Histogram of the data set using the Frequency Distribution data you’re your solution to 11.A.
3) What is the arithmetic mean of the data set?
4) Use the Frequency Distribution found in 11.A to estimate the mean (NOTE: this will not necessarily be the same solution as in 11.C).
5) What is the median of the data set?
6) What is the mode of the data set? Note, if there is more than one mode, list all of them.
7) What is the standard deviation of the data set?
8) What is the variance of the data set?
9) Draw a box-plot graph of the data set. Label each part of the graph.
10) Draw a Stem Plot (or Stem-and-Leaf Plot) of the data set.
11) Is a woman who is 72 inches tall considered “unusual”? Why or why not?
