Frequency Polygons worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 34 marks Sheet 1

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3 marks
The frequency polygon shows the times of some shoppers.

(a)
Write down the number of shoppers in the class \(20 < t \le 40\).

(b)
Find the total number of shoppers.
3 marks
The table gives information about the lengths of some fish.

Length (cm) Frequency

\(0 < L \le 10\) 2

\(10 < L \le 20\) 10

\(20 < L \le 30\) 19

\(30 < L \le 40\) 9

\(40 < L \le 50\) 2

A frequency polygon has been started. The first two points are plotted.

(a)
Write down the coordinates of the next point to plot.

(b)
Work out the total number of fish.
4 marks
33 Team A students and 33 Team B students each did a quiz.

The frequency polygons show how long they took.

(a)
How many Team B students took between \(40\) and \(60\) minutes?

(b)
How many more Team A students than Team B students took between \(20\) and \(40\) minutes?

(c)
Which group generally took longer?
3 marks
The frequency polygon shows the times of 37 visitors.

(a)
Write down the modal class.

(b)
Work out the number of visitors with a time in the queue of more than \(30\) minutes.
4 marks
The frequency polygon shows the times of \(46\) students.

Each point is plotted at the middle of its class.

(a)
Write down the modal class.

(b)
Find an estimate for the mean time of the students.
3 marks
The frequency polygon shows the times of some shoppers.

(a)
State the number of shoppers in the class \(20 < t \le 30\).

(b)
Work out the total number of shoppers.
3 marks
The table shows information about the lengths of some fish.

Length (cm) Frequency

\(0 < L \le 10\) 8

\(10 < L \le 20\) 13

\(20 < L \le 30\) 18

\(30 < L \le 40\) 4

\(40 < L \le 50\) 2

A frequency polygon has been started. The first two points are plotted.

(a)
Write down the coordinates of the next point to plot.

(b)
Find the total number of fish.
4 marks
30 Year 9 students and 30 Year 11 students each did a puzzle.

The frequency polygons show how long they took.

(a)
How many Year 11 students took between \(40\) and \(60\) minutes?

(b)
How many more Year 9 students than Year 11 students took between \(20\) and \(40\) minutes?

(c)
Which group generally took longer?
3 marks
The frequency polygon shows the lengths of 40 phone calls.

(a)
State the modal class.

(b)
Work out the number of phone calls with a length of more than \(30\) minutes.
4 marks
The frequency polygon shows the masses of \(52\) parcels.

Each point is plotted at the middle of its class.

(a)
Write down the modal class.

(b)
Work out an estimate for the mean mass of the parcels.

Length (cm)	Frequency
\(0 < L \le 10\)	2
\(10 < L \le 20\)	10
\(20 < L \le 30\)	19
\(30 < L \le 40\)	9
\(40 < L \le 50\)	2

Length (cm)	Frequency
\(0 < L \le 10\)	8
\(10 < L \le 20\)	13
\(20 < L \le 30\)	18
\(30 < L \le 40\)	4
\(40 < L \le 50\)	2

Answers

(a) \(9\)
(b) \(42\)
(a) \((25, 19)\)
(b) \(42\)
(a) \(14\)
(b) \(9\)
(c) Team B
(a) \(20 < t \le 30\)
(b) \(7\)
(a) \(40 < t \le 60\)
(b) \(50\ \text{minutes}\)
(a) \(19\)
(b) \(39\)
(a) \((25, 18)\)
(b) \(45\)
(a) \(12\)
(b) \(5\)
(c) Year 11
(a) \(20 < t \le 30\)
(b) \(17\)
(a) \(40 < m \le 60\)
(b) \(45\ \text{kg}\)

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