Mean Median Mode and Range - Worksheets, Questions and Revision

17 original exam-style questions - 10 pages of questions with a full mark scheme - free printable PDF.

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GCSE · Statistics

S01 Mean Median Mode and Range

EDEXCEL 1ST0 · Calculator allowed · about 80 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
The ages, in years, of 9 people at a birthday party are:

12, 14, 13, 12, 15, 12, 14, 16, 12

Write down the mode of these ages.
(Total for Question 1 is 1 mark)
2
For each statement about averages, write down whether it is True or False.
(i)The mode of a list of numbers is always one of the numbers in the list.(1)
(ii)The median of a list of numbers is always one of the numbers in the list.(1)
(iii)The range measures how spread out a set of data is.(1)
(iv)The mean of a set of data must always be a whole number.(1)
(Total for Question 2 is 4 marks)
3
The numbers of pets owned by 7 families are:

2, 0, 5, 1, 3, 1, 4

Find the median number of pets.
(Total for Question 3 is 2 marks)
4
The scores, out of 10, of 6 pupils in a spelling test are:

7, 8, 6, 9, 7, 5

Work out the mean score.
(Total for Question 4 is 2 marks)
5
The number of ice creams sold by a seafront kiosk over 5 days was:

34, 41, 28, 39, 33

Work out the range of the number of ice creams sold.
(Total for Question 5 is 2 marks)
6
The number of minutes spent revising one evening by each of 8 students was:

45, 30, 60, 45, 50, 40, 45, 55
(a)Write down the mode.(1)
(b)Find the median.(2)
(c)Calculate the mean.(2)
(d)Work out the range.(1)
(Total for Question 6 is 6 marks)
7
The distances, in km, walked by 11 dog walkers in one week were:

8, 15, 6, 20, 11, 9, 14, 6, 17, 10, 13
(a)Find the median distance walked.(2)
(b)Write down the mode.(1)
(c)Work out the range.(1)
(Total for Question 7 is 4 marks)
8
The temperature, in degrees C, recorded at midnight on 7 nights was:

-4, -1, 3, 0, -2, 5, -1
(a)Calculate the mean temperature.(2)
(b)Find the median temperature.(2)
(c)Write down the mode.(1)
(d)Work out the range of temperatures.(1)
(Total for Question 8 is 6 marks)
9
The heights, in metres, of 5 sunflower plants were:

1.2, 1.45, 1.3, 1.5, 1.35
(a)Find the median height.(2)
(b)Calculate the mean height.(2)
(c)Work out the range of heights.(1)
(Total for Question 9 is 5 marks)
10
The mean of 5 numbers is 8. Four of the numbers are 6, 9, 7 and 10.

Work out the fifth number.
(Total for Question 10 is 3 marks)
11
A clothing shop records the colour of hoodie bought by each of 10 customers one Saturday:

Red, Blue, Red, Green, Red, Blue, Red, Yellow, Red, Blue
0 1 2 3 4 5 Red Blue Green Yellow Colour Number of customers
(a)Write down the mode.(1)
(b)Explain why the mode is the only average that can be found for this set of data.(2)
(Total for Question 11 is 3 marks)
12
Two darts players each throw 5 darts in a competition. Their scores are:
Player A1215182010
Player B1416151713
(a)Work out the mean score for Player A and the mean score for Player B.(2)
(b)Work out the range of scores for Player A and the range of scores for Player B.(2)
(c)Both players have the same mean score. Use the ranges to decide which player threw more consistently, giving a reason.(2)
(Total for Question 12 is 6 marks)
13
The table shows the number of siblings for each of 20 pupils in a class.
Number of siblings01234
Frequency47531
(a)Write down the mode.(1)
(b)Calculate the mean number of siblings.(3)
(c)Find the median number of siblings.(2)
(d)Work out the range of the number of siblings.(1)
(Total for Question 13 is 7 marks)
14
Priya wants to investigate how long pupils in her class spend on homework on a typical weekday evening.
(a)Before Priya starts collecting her data, write down one decision she should make about how she will carry out her survey.(1)
(b)Priya collects data from 8 pupils. The times, in minutes, they spent on homework one evening were:

35, 40, 40, 40, 45, 55, 65, 70

Find the median time.(2)
(c)Calculate the mean time.(2)
(d)Write down the mode and work out the range of the times.(2)
(e)Priya concludes: 'Most pupils spend about 40 minutes on homework, but a few spend much longer.' Use your answers to parts (b) to (d) to assess whether this is a reasonable conclusion.(2)
(Total for Question 14 is 9 marks)
15
Six people are waiting in a queue. Their ages, in years, are:

22, 23, 24, 25, 26, 80
(a)Work out the mean age and the median age of all 6 people in the queue.(4)
(b)The person aged 80 then leaves the queue. Work out the new mean age and the new median age of the remaining 5 people.(3)
(c)Explain which average, the mean or the median, gives a better representation of the 'typical' age of the people originally in the queue.(2)
(Total for Question 15 is 9 marks)
16
A class of 20 pupils has a mean test score of 65. A second class of 10 pupils has a mean test score of 80.

Work out the mean test score for all 30 pupils combined.
(Total for Question 16 is 4 marks)
17
A list of 8 numbers has a mean of 20. Two numbers are removed from the list. The mean of the remaining 6 numbers is 18.

Work out the mean of the two numbers that were removed.
(Total for Question 17 is 4 marks)
Mark scheme · S01 Mean Median Mode and Range

Question 1

Question 2

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Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17