IROVD - Representation of Data (Lesson)

Representation of Data

A box and whisker plot uses a 5-number summary to display the data. The five numbers used are the minimum, first quartile, median, third quartile, and maximum.

Let's practice making one:

This table lists the total number of home runs hit at home games by each baseball team in a specific region: 

First, we should find the 5 important numbers that represent the data: Minimum, First Quartile, Median, Third Quartile, Maximum.

TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.

The box and whisker plot below uses those 5 numbers to represent the data.

Watch this video to practice making another box and whisker plot.

Box and Whisker Plot Practice

Match each data set to the appropriate box and whisker plot.

1.

2.

3.

a.  26, 31, 41, 48, 38, 37, 29, 32, 33, 35

b.  32, 35, 31, 30, 26, 32, 30, 28, 29, 30

c.  34, 38, 48, 41, 42, 37, 39, 44, 43, 45

TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.

We could also take that set of data and make a dot plot to represent the scores. A dot plot is a way to display a distribution of data where each data value is shown as a dot or mark above a number line. The dot plot below shows the distribution of the baseball team's home runs.

Another way to represent data is by a histogram. A histogram is a way to display data as a bar graph. Watch this video to practice constructing a histogram. The class width of a histogram is the width of each bar in a histogram.

Histogram Practice

Match each data set to the appropriate histogram.

1.

2.

3.

a.  89, 88, 84, 81, 80, 92, 93, 93, 96, 97, 99, 82

b.  84, 86, 86, 87, 91, 92, 91, 92, 93, 97, 83, 82

c.  91, 92, 89, 81, 83, 94, 95, 97, 98, 97, 98, 95

TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.

IMAGES CREATED BY GAVS