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Drawing Histograms Worksheet

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Drawing Histograms Worksheet

Practise grouping numerical data, drawing histograms and interpreting what they show. Histogram bars touch because the data is continuous.

Group the data

During a cooking class, 20 students measured the length of their pastry strips in centimetres. Use the measurements to complete the frequency table. Each interval has a width of 5 cm.

1.The pastry-strip lengths were 12, 16, 14, 19, 21, 17, 15, 23, 18, 20, 13, 24, 16, 22, 19, 17, 25, 14, 21, 18 cm. How many measurements fall in each interval, and what is the total?

Length (cm)

Frequency

10–14

_____

15–19

_____

20–24

_____

25–29

_____

Total

_____

Draw and interpret

Use the completed pastry-length frequency table for the next two questions.

2.Draw a histogram for the pastry-strip lengths. Label both axes, use an appropriate scale, add a title and make the bars touch.

3.Which description best fits the shape of the pastry-length histogram?

Roughly symmetrical
Skewed to the left
Skewed to the right
Uniform

4.A class collects 40 quiz scores ranging from 0 to 100. Which bin width is likely to show useful detail without making the histogram difficult to read?

2 points, making 50 bins
10 points, making 10 bins
25 points, making 4 bins
50 points, making 2 bins

5.Explain how choosing a suitable bin width can affect what a histogram tells its reader.

Apply your understanding

Use the frequency information in each question to show your working and explain your thinking.

6.A record of 30 days of temperatures has 7 days in the 10–14°C interval and 11 days in the 15–19°C interval. What percentage of the days were between 10°C and 19°C inclusive?

7.In a cooking class, the waiting times for 56 batches of bread were recorded: 0–4 minutes, 10 batches; 5–9 minutes, 17 batches; 10–14 minutes, 16 batches; 15–19 minutes, 9 batches; 20–24 minutes, 4 batches. Draw a histogram with labelled axes, a suitable scale and touching bars.

8.Based on the bread-batch waiting-time frequencies (10, 17, 16, 9 and 4 across consecutive 5-minute intervals), suggest one practical change that could reduce long waits.

9.Select every statement that is generally true of a histogram.