Frequency Histograms Critical Analysis
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Frequency Histograms Critical Analysis
A. Read the histogram
A community sports centre recorded how long 40 visitors exercised on Saturday. Each interval includes its lower endpoint but not its upper endpoint.
0–10 min Frequency 3
10–20 min Frequency 8
20–30 min Frequency 14
30–40 min Frequency 9
40–50 min Frequency 6
B. Compare distributions fairly
Two groups completed the same quiz. Their scores were grouped into equal-width intervals, with no missing scores.
Score interval
Group A (20 students)
Group B (40 students)
0–20
2
8
20–40
6
16
40–60
8
12
60–80
4
4
- Yes; bar height should still equal frequency, regardless of interval width.
- No; use frequency density so that each bar’s area represents its frequency.
- Yes; make every bar the same height and label only the interval ends.
- No; unequal intervals mean a histogram cannot be drawn.
C. Spot the limits
A good analysis explains what a histogram shows—and what it cannot tell you.
- The two peaks prove that the thermometer was broken; no further information is needed.
- The data may combine two different conditions or groups; check when and where each temperature was recorded.
- The peaks show that every day had both temperatures.
- A histogram cannot have two peaks.
3 printable pages
Page 1
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Page 3
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