2.2 Histograms, Frequency Polygons, and Time Series Graphs

Bin widths and boundaries for large data sets, frequency polygons overlaid to compare distributions, and measurements plotted against time.

Statistics, 2.2 Histograms, Frequency Polygons, and Time Series Graphs

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5 exercises

2.2 Exercise 1

The following data are the shoe sizes of 50 male students. The sizes are continuous data since shoe size is measured. Construct a histogram and calculate the width of each bar or class interval. Use six bars on the histogram.
9, 9, 9.5, 9.5, 10, 10, 10, 10, 10, 10, 10.5, 10.5, 10.5, 10.5, 10.5, 10.5, 10.5, 10.5,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11.5, 11.5, 11.5, 11.5, 11.5, 11.5…

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2.2 Exercise 2

Eleven students buy one book. Ten students buy two books. Sixteen students buy three books. Six students buy four books. Five students buy five books. Two students buy six books.

Calculate the width of each bar/bin size/interval size.

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2.2 Exercise 3

The following data are the number of sports played by 50 student athletes. The number of sports is discrete data since sports are counted.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
3, 3, 3, 3, 3, 3, 3, 3
Twenty student athletes play one sport. Twenty-two student athletes play two sports. Eight student athletes play…

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2.2 Exercise 10

What does the frequency column in the table sum to? Why?

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2.2 Exercise 12

What is the difference between relative frequency and frequency for each data value in the table?

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