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Box Plot Diagrams (2)

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

'Box Plot Diagrams (2)' 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 Whisper Plot.

 

Example

A survey was carried out to record how much time children in a class spent texting on their mobile phones one day.

The times (in minutes) are as follows:

0, 2, 4, 1, 0, 5, 10, 3, 4, 5, 9, 14, 13, 5, 4, 6, 10, 0, 2, 4

Draw a box plot to display this information.

 

Answer

First we must work out the median, the lower quartile, the upper quartile, the minimum and the maximum.

Place the times in order.

0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 6, 9, 10, 10, 13, 14

The median of the 20 numbers is the mean of the 10th and 11th numbers.

The lower quartile is the median of the lower 10 numbers.

The upper quartile is the median of the upper 10 numbers.

 

Median = 4

Lower quartile = 2

Upper quartile = 9.5

Minimum time = 0

Maximum time = 14

 

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£150, £200, £260, £300, £320, £400, £500

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£150, £200, £230, £300, £400, £400, £500

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£150, £250, £260, £340, £345, £350, £500

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£300, £200, £500, £150, £335, £400, £255

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£300, £200, £500, £170, £335, £400, £255

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

18, 22, 25, 25, 30, 31, 31, 34, 35, 40, 51

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

18, 22, 28, 29, 30, 32, 32, 34, 38, 40, 48

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

18, 22, 27, 29, 30, 32, 32, 34, 38, 40, 48

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

25, 51, 20, 25, 18, 40, 30, 30, 40, 30, 19

 

Which box plot shows this information?

 

A

B

C

none of them

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

26, 39, 18, 28, 51, 31, 31, 24, 31

 

Which box plot shows this information?

 

A

B

C

none of them

  • Question 1

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£150, £200, £260, £300, £320, £400, £500

 

Which box plot shows this information?

 

CORRECT ANSWER
B
EDDIE SAYS
Minimum value = £150
Lower quartile = £200
Median = £300
Upper quartile = £400
Maximum value = £500
  • Question 2

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£150, £200, £230, £300, £400, £400, £500

 

Which box plot shows this information?

 

CORRECT ANSWER
B
EDDIE SAYS
Minimum value = £150
Lower quartile = £200
Median = £300
Upper quartile = £400
Maximum value = £500
  • Question 3

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£150, £250, £260, £340, £345, £350, £500

 

Which box plot shows this information?

 

CORRECT ANSWER
C
EDDIE SAYS
Minimum value = £150
Lower quartile = £250
Median = £340
Upper quartile = £350
Maximum value = £500
  • Question 4

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£300, £200, £500, £150, £335, £400, £255

 

Which box plot shows this information?

 

CORRECT ANSWER
B
EDDIE SAYS
First place the values in increasing order:
Minimum value = £150
Lower quartile = £200
Median = £300
Upper quartile = £400
Maximum value = £500
  • Question 5

A survey was carried out to record how much workers in a shop were paid per week.

The wages (in pounds) were as follows:

 

£300, £200, £500, £170, £335, £400, £255

 

Which box plot shows this information?

 

CORRECT ANSWER
none of them
EDDIE SAYS
First place the values in increasing order:
Minimum value = £170
None of the box plots shows a minimum value of £170
  • Question 6

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

18, 22, 25, 25, 30, 31, 31, 34, 35, 40, 51

 

Which box plot shows this information?

 

CORRECT ANSWER
C
EDDIE SAYS
Minimum mark = 18
Lower quartile = 25
Median = 31
Upper quartile = 35
Maximum mark = 51
  • Question 7

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

18, 22, 28, 29, 30, 32, 32, 34, 38, 40, 48

 

Which box plot shows this information?

 

CORRECT ANSWER
A
EDDIE SAYS
Minimum mark = 18
Lower quartile = 28
Median = 32
Upper quartile = 38
Maximum mark = 48
  • Question 8

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

18, 22, 27, 29, 30, 32, 32, 34, 38, 40, 48

 

Which box plot shows this information?

 

CORRECT ANSWER
none of them
EDDIE SAYS
Minimum mark = 18
Lower quartile = 27
Median = 32
Upper quartile = 38
Maximum mark = 48
None of the box plots has a lower quartile of 27
  • Question 9

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

25, 51, 20, 25, 18, 40, 30, 30, 40, 30, 19

 

Which box plot shows this information?

 

CORRECT ANSWER
B
EDDIE SAYS
First place the marks in ascending order
Minimum mark = 18
Lower quartile = 20
Median = 30
Upper quartile = 40
Maximum mark = 51
  • Question 10

A survey was carried out to record the marks some students scored in a test.

The marks were as follows:

 

26, 39, 18, 28, 51, 31, 31, 24, 31

 

Which box plot shows this information?

 

CORRECT ANSWER
C
EDDIE SAYS
First place the marks in ascending order:
Remember that to find the median of an even number of numbers, we must find the mean of the two middle numbers.
Minimum mark = 18
Lower quartile = 25
Median = 31
Upper quartile = 35
Maximum mark = 51
---- OR ----

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