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Box Plot Diagrams (1)

In this worksheet, students understand how to read information from a Box (or Box and Whisker) Plot.

'Box Plot Diagrams (1)' worksheet

Key stage:  KS 4

Curriculum topic:  Statistics

Curriculum subtopic:  Interpret, Analyse and Compare the Distributions of Data Sets from Univariate Empirical Distributions

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

Given a set of statistical data, it is possible to represent the range, median and quartiles in one diagram known as a Box Plot or a Box and Whisker Plot.

 

 

Example

A survey was carried out to record the weekly wages of workers at a company.

The information is shown in the box plot diagram below.

 

State the lowest weekly wage, the highest, the lower quartile, the upper quartile, the median and the range.

 

Answer

We can read the median, the lower quartile, the upper quartile, the minimum and the maximum from the diagram as follows.

 

 

Median = £280

Lower quartile = £250

Upper quartile = £350

Minimum = £150

Maximum = £500

 

The range = Maximum - Minimum = 500 - 150 = £350

The interquartile range = Upper quartile - Lower quartile = 350 - 250 = £100

A survey was carried out to record the waiting times for a bus to arrive at a particular bus stop.

The distribution of results are shown in the box plot below.

What was the maximum waiting time in minutes?

Just write the number.

 

A survey was carried out to record the waiting times for a bus to arrive at a particular bus stop.

The distribution of results are shown in the box plot below.

What was the lower quartile waiting time?

Just write the number.

 

A survey was carried out to record the waiting times for a bus to arrive at a particular bus stop.

The distribution of results are shown in the box plot below.

What was the minimum waiting time in minutes?

Just write the number.

 

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the minimum height in centimetres?

Just write the number.

 

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the height of the tallest plant in centimetres?

Just write the number.

 

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the median height of the plants in centimetres?

Just write the number.

 

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the interquartile range for the heights of the plants in centimetres?

Just write the number.

 

A survey was carried in three different companies to record the weekly wages of the workers.

The distribution of results are shown in the box plot below for companies A, B and C.

What was the upper quartile weekly wage of workers in Company A in pounds?

Just write the number.

 

A survey was carried in three different companies to record the weekly wages of the workers.

The distribution of results are shown in the box plot below for companies A, B and C.

Which company had at least one volunteer worker who was not paid anything?

 

 

A

B

C

A survey was carried in three different companies to record the weekly wages of the workers.

The distribution of results are shown in the box plot below for companies A, B and C.

Which company had the smallest range of wages?

 

 

A

B

C

  • Question 1

A survey was carried out to record the waiting times for a bus to arrive at a particular bus stop.

The distribution of results are shown in the box plot below.

What was the maximum waiting time in minutes?

Just write the number.

 

CORRECT ANSWER
14
EDDIE SAYS
This is the right-hand end of the "whisker".
  • Question 2

A survey was carried out to record the waiting times for a bus to arrive at a particular bus stop.

The distribution of results are shown in the box plot below.

What was the lower quartile waiting time?

Just write the number.

 

CORRECT ANSWER
2
EDDIE SAYS
This is the left-hand end of the "box".
  • Question 3

A survey was carried out to record the waiting times for a bus to arrive at a particular bus stop.

The distribution of results are shown in the box plot below.

What was the minimum waiting time in minutes?

Just write the number.

 

CORRECT ANSWER
0
EDDIE SAYS
This is the left-hand end of the "whisker".
  • Question 4

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the minimum height in centimetres?

Just write the number.

 

CORRECT ANSWER
9
EDDIE SAYS
This is the left-hand end of the "whisker".
  • Question 5

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the height of the tallest plant in centimetres?

Just write the number.

 

CORRECT ANSWER
56
EDDIE SAYS
This is the right-hand end of the "whisker".
  • Question 6

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the median height of the plants in centimetres?

Just write the number.

 

CORRECT ANSWER
34
EDDIE SAYS
This is the line inside the "box".
  • Question 7

A survey was carried out to record the heights of plants in a garden.

The distribution of results are shown in the box plot below.

What was the interquartile range for the heights of the plants in centimetres?

Just write the number.

 

CORRECT ANSWER
20
EDDIE SAYS
This is the difference between the upper and lower quartiles, i.e. 41 - 21.
  • Question 8

A survey was carried in three different companies to record the weekly wages of the workers.

The distribution of results are shown in the box plot below for companies A, B and C.

What was the upper quartile weekly wage of workers in Company A in pounds?

Just write the number.

 

CORRECT ANSWER
380
EDDIE SAYS
This is the right-hand edge of the "box".
  • Question 9

A survey was carried in three different companies to record the weekly wages of the workers.

The distribution of results are shown in the box plot below for companies A, B and C.

Which company had at least one volunteer worker who was not paid anything?

 

 

CORRECT ANSWER
B
EDDIE SAYS
The minimum wage in Company B is £0.
  • Question 10

A survey was carried in three different companies to record the weekly wages of the workers.

The distribution of results are shown in the box plot below for companies A, B and C.

Which company had the smallest range of wages?

 

 

CORRECT ANSWER
A
EDDIE SAYS
The distance between the ends of the "whiskers" is smallest for Company A.
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