Misleading Histograms - Math Worksheet With Answers Page 2
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22–15
Name
Date
Misleading Histograms
Some histograms can be misleading. When a different interval is chosen to present the
data, a histogram can change dramatically. Read the problem below.
Louis and Li collected shells on the beach for 30 days. They recorded how many coral shells
they found each day.
25 11 15
3
1
7 8 10 32 7
2 13
4
9 18 21 7
7 16 6
1 22
4 12
5 27 7
9 10 7
Complete each histogram for the data shown above. Use the intervals given.
1.
2.
Shells Found
Shells Found
14
14
12
12
10
10
8
8
6
6
4
4
2
2
0
0
0–7
8–15
16–23
24–31
32–39
0–6
7–13
14–20
21–27
28–34
Number of Shells
Number of Shells
Compare and Contrast How are the histograms similar? How are they different?
3.
Sample answer: Similar—The intervals with the greater
number of shells in both histograms have the same
number of days. Different—The histogram on the left
has the greatest number in the 2nd interval. The one
on the right has the greatest number in the 1st.
Give an example of how a histogram can be misleading. Use the histograms in exercises
4.
1 and 2 to support your answer.
Sample answer: When one data item is repeated often,
that can affect the height of the bar in that interval. For
example, the number 7 occurs six times, and when it is placed
in different intervals, the presentation of the data changes.
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