GCSE · Histograms

Interpreting histogramsExam-style questions

Getting information back out of a histogram — a frequency is an area, so part of a class is the matching proportion of a bar's area. Why that rests on values being spread evenly within a class (and is therefore an estimate), and how to read off a total, a mean, the median class, a range that cuts across class boundaries, and a comparison of two groups.

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12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
The histogram gives information about the times, in minutes, that some students spent on homework one evening.

(a) Work out the number of students who spent between $20$ and $40$ minutes on homework.

(b) Work out the total number of students.
Level 2 · 4 marksTry it
2
The histogram shows information about the heights, $h$ cm, of some plants.(a) Work out the number of plants with a height between $10$ cm and $20$ cm. (2 marks)
(b) There are $6$ plants with a height greater than $30$ cm.

Work out an estimate for the number of plants with a height greater than $25$ cm. (2 marks)
Level 3 · 4 marksTry it
3
The histogram gives information about the ages of the members of a swimming club.

(a) Estimate the number of members aged between $20$ and $30$ .

(b) Explain why your answer to part (a) is only an estimate.
Level 3 · 3 marksTry it
4
The histogram gives information about the distances, in kilometres, that the employees of a company travel to work.

Estimate the number of employees who travel between $15$ km and $30$ km to work.
Level 3 · 3 marksTry it
5
The histogram shows the ages of the people at a swimming pool one afternoon.(a) Work out the total number of people at the pool. [2]

(b) Estimate the number of people aged between $25$ and $45$ . [2]

(c) Which class interval contains the median age? [1]
Level 4 · 5 marksTry it

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