Question

The following data represents a distribution of speeds at which individuals were traveling on a highway:

64 76 65 67 67 80 79 73 65 68 64 67 68 70 65 70 72 65 62 64

A) Organize the data above into a frequency distribution with frequency (f) and relative frequency (rf)) columns.

B) Organize the data above into a class interval frequency distribution with 10 intervals and frequency (f) and relative (rf) columns.

C) Which type of figure should be used to represent these data--- a bar graph, histogram, or frequency polygon? Why? Draw the appropriate figure for these data.

D) Differentiate a qualitative variable from a quantitative variable.

E) Explain when it would be appropriate to use a bar graph versus a histogram.

Answer 1

SolutionA:

Class	Frequency	Relative Frequency
60-65	8	0.2
65-70	7	0.368421053
70-74	2	0.1
75-80	3	0.15
total	20	1

SolutionB:

Class	Frequency	Relative Frequency
60-61	0	0
62-63	1	0.052631579
64-65	7	0.368421053
66-67	3	0.157894737
68-69	2	0.105263158
70-71	2	0.105263158
72-73	2	0.105263158
74-75	0	0
76-77	1	0.052631579
78-79	1	0.052631579
total	19	1

Solutionc:

Histogram as it is quantitative data

D) Differentiate a qualitative variable from a quantitative variable.