Finding the Mean From a Frequency Table
• Introduction

This worksheet is about finding a mean average from a frequency table.

Sometimes the data given for finding a mean is in a table. The table below shows the number of pets owned by 21 different people.

 Number of pets 0 1 2 3 4 Number of people 7 6 5 2 1

The total number of people = 7 + 6 + 5 + 2 + 1 = 21.

From the table 7 people have 0 pets = total 0 pets.
6 people have 1 pet = total 6 pets.
5 people have 2 pets = total 10 pets.
2 people have 3 pets = total 6 pets.
1 people have 4 pets = total 4 pets.

Total number of pets = 0 + 6 + 10 + 6 + 4 = 26 pets on total.

Mean number of pets =
 total number of pets total number of people
=
 26 21
= 1.2 pets per person
• Question 1

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

(Round answers to the nearest whole number in this and the following questions)

 Money collected ( x £100) 1 2 3 4 5 Number of people 3 7 10 10 5

Mean:
 £
• Question 2

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 3 7 8 10 7

Mean:
 £
• Question 3

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 3 10 9 9 9

Mean:
 £
• Question 4

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 7 8 9 10 4

Mean:
 £
• Question 5

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 5 9 5 6 3

Mean:
 £
• Question 6

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 6 10 9 8 4

Mean:
 £
• Question 7

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 7 8 10 8 5

Mean:
 £
• Question 8

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 5 7 9 8 2

Mean:
 £
• Question 9

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 4 7 9 8 7

Mean:
 £
• Question 10

The following table shows the money (in £100 rounded to the nearest £100) collected by people on a sponsored run.

Work out the mean amount collected by each person.

 Money collected (x £100) 1 2 3 4 5 Number of people 5 6 7 10 3

Mean:
 £
Progress