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Tables - 11 + Exam Questions & Answers

Question 16(16(a),16(b)) - St Paul’s Girls School Sample Maths Paper 2 – 2024
1:30

Topics Covered:

Question 13(a,b) - The Perse School 11 Maths Specimen Paper - 1 - 2024
Question 3(a,b) - The Perse School 11 Maths Specimen Paper - 5 - 2024
Question 27(a,i,ii) - Merchant Taylors – Maths Specimen Paper 1 - 2024
2:00

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Question 27(a,i,ii) - Merchant Taylors – Maths Specimen Paper 1 - 2024
2:00

Topics Covered:

Question 11(a,b,c) - Merchant Taylors – Maths Specimen Paper 1 - 2024

Tables in Statistics for the 11 Plus Exams

1. Tables

A table can be used to display pieces of data about different things. Tables, in statistics, are a way of showing your information or data. They use rows (horizontal) and columns (vertical). A table also usually looks like a grid, with information and data being put inside the cells. The heading of the table tells us what data is in each column and row.

1.1 Solved Example:

The table below shows activities done by a number of adults and children.

Activity Cycling Swimming Debating Total
Number of children 12 18 8 38
Number of adults 15 7 22 44
Total 27 25 30 82

From the table, it can be seen that there were 38 children and 44 adults participating in three different activities.

Let us now try to answer some questions using the above table,

a) How many children participated in debating?

Solution:

Looking at the number of children row and debating column,

8 children participated in debating.

b) How many adults participated in cycling and swimming?

Solution:

Looking at the number of adults row and cycling column,

15 adults participated in cycling.

Looking at the number of adults and swimming column,

7 adults participated in swimming.

Total = 15 + 7 = 22

22 adults participated in cycling and swimming.

1.2 Two-way tables

Many times more than one category of data is collected. For example, data collected on children at a school may include their favourite subject and their year group as another. Two-way tables are a way of sorting data so that the frequency of each category can be seen quickly and easily.

For example:

Below are twelve cards from a game:

01 Tables

The two way table shows a number of cards with patterns more than 2 different types.

Red Green
Triangle 4 1
Circle 2 5

1.3 Two way tables - Solved Example

Complete the following table about a group of children to work out the total number of girls in the group:

Right-handed Left-handed Total
Boys 19
Girls 7
Total 16 60

Solution:

Total left-handed = 16

Left-handed (Boys + Girls) = 16

Left-handed Boys + 7 = 16

Left-handed Boys = 16 - 7

Left-handed Boys = 9

Total no. of Boys = Right-handed Boys + Left-handed Boys

= 19 + 9

= 28

Total no. of Girls = Total no. of Students - Total no. of Boys

= 60 - 28

= 32

Right-handed Girls = Total number of girls - Number of left-handed girls

= 32 - 7

= 25

Total Right-handed = 19 + 25 = 44

Right-handed Left-handed Total
Boys 19 9 28
Girls 25 7 32
Total 44 16 60

Here we have used different operations like addition, and subtraction to get the missing values in the table.

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