# Histograms

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```					Worksheet – Representing Data – Histograms
1. James records the time he waits for a bus at his bus stop. The results are:
Time, t, minutes      Frequency
0< t≤2                  2
2< t ≤ 4               4
4 < t ≤ 10              9
10 < t ≤ 20              3
Draw a histogram to represent these data.

2. A receptionist records the time taken for people to answer the phone when she calls them. Her
results are shown in the table.
Time, t, seconds        Frequency
0 < t ≤ 10               2
10 < t ≤ 15               4
15 < t ≤ 20               8
20 < t ≤ 30               10
30 < t ≤ 60               12
Draw a histogram for these data.

3. Seamus is measuring the lengths of leaves in a biology lesson. He records the results in the
following table.
Length, l, cm        Frequency
0<l≤2                  1
2<l≤4                  4
4<l≤5                  3
5 < l ≤ 10              8
10 < l ≤ 20              4
He draws the following histogram.

(a) What mistakes has Seamus made in his histogram?
(b) Draw a correct histogram for these data.
Worksheet – Representing Data – Histograms Answers

1.
Time, t, minutes   Frequency   Class-width   Frequency
density
0< t≤2             2            2           2/2 = 1
2< t ≤ 4          4            2           4/2 = 2
4 < t ≤ 10         9            6          9/6 = 1.5
10 < t ≤ 20         3            10        3/10 = 0.3

2.
Time, t, seconds   Frequency   Class-width   Frequency
density
0 < t ≤ 10         2            10         2/10 = 0.2
10 < t ≤ 15         4            5          4/5 = 0.8
15 < t ≤ 20         8            5          8/5 = 1.6
20 < t ≤ 30         10           10         10/10 = 1
30 < t ≤ 60         12           30        12/30 = 0.4
3.
(a)   The vertical axis is not labelled. Frequency has been used as the height of each rectangle
(b)
Length, l, cm       Frequency        Class-width       Frequency
density
0<l≤2                  1                2               0.5
2<l≤4                  4                2                2
4<l≤5                  3                1                3
5 < l ≤ 10              8                5               1.6
10 < l ≤ 20             4                10              0.4

```
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 views: 61 posted: 8/20/2010 language: English pages: 4