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IGCSEMathsCambridge (CIE)International MathsCoreExam QuestionsStatisticsAverages, Ranges & Comparing Data

Averages, Ranges & Comparing Data (Cambridge (CIE) IGCSE International Maths: Core): Exam Questions

58 mins19 questions
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1
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Roberto records the value of each of the coins he has at home. The table shows the results.

Value (cents)

1

2

5

10

20

50

Frequency

3

1

3

2

4

2

i) Find the range.

........................................... cents [1]

ii) Find the mode.

........................................... cents [1]

iii) Find the median.

........................................... cents [1]

iv) Work out the total value of Roberto’s coins.

........................................... cents [1]

v) Work out the mean.

........................................... cents [1]

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2
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The test scores of 14 students are shown below.

21

21

23

26

25

21

22

20

21

23

23

27

24

21

Find the range, mode, median and mean of the test scores.  

Range = ....................................................     
Mode = ....................................................     
Median = ....................................................     
Mean = ....................................................      

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3
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The students in Class A and in Class B take the same examination.

The lowest score in Class A is 39
The range of scores for Class A is 57
The lowest score in Class B is 33
The range of scores for Class B is 60

Find the range of scores for all the students in both classes.

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4
Sme Calculator4 marks

A teacher records the number of days each of the 24 students in her class are absent.
The frequency table shows the results.

Number of days

0

1

2

3

4

5

Frequency

10

8

3

2

0

1

Find the mode, the median and the mean.

Mode = ...............................................     
Median = ...............................................     
Mean = ...............................................     

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5a
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27

14

8

93

32

55

14

38

73

47

From this list of numbers find

the median,

[2]

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5b
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27

14

8

93

32

55

14

38

73

47

From this list of numbers find

the range.

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6
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At Donville station the number of tickets sold each day is recorded for seven days.

104

18

72

31

27

45

60

Find

i) the range,

[1]

ii) the median,

[2]

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7
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The table shows the different methods of travel for 20 people going to work.

Method of travel

Frequency

Car

10

Walk

5

Bike

3

Bus

2

Which type of average, mean, median or mode, can be used for this information?

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8
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The table shows examples of types of data collected about members of a gym.

Put a tick (✓ ) in each row to show whether the data is Discrete or Continuous.

Type of data

Discrete

Continuous

Weight of a person

Total time spent on the train

Number of people in a group

Cost of a train ticket

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1
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The table shows the marks scored by 40 students in a test.

Mark

5

6

7

8

9

10

Frequency

8

5

11

7

5

4

Calculate the mean mark.

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2a
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40 people were asked how many times they visited the cinema in one month.
The table shows the results.

Number of cinema visits

0

1

2

3

4

5

6

7

Frequency

5

5

6

6

7

3

6

2

Find the mode.

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2b
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Calculate the mean.

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3
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The table shows the marks scored by some students in a test.

Mark

5

6

7

8

9

10

Frequency

8

2

12

2

0

1

Calculate the mean mark.

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4
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Emma records the number of letters in each word in a sentence.

7

1

5

4

2

4

5

3

3

1

2

4

Find

i) the median,

[2]

ii) the mode,

[1]

iii) the range.

[1]

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5
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These are the ages in years of 10 people.

14

15

16

17

18

19

20

20

21

23

Find the interquartile range.

........................................ years

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6a
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This table shows the ages of 20 cars.

Age (years)

Frequency

1

2

2

7

3

4

4

3

5

4

Work out the range.

........................................ years

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6b1 mark

Work out the mean age of the cars.

........................................ years

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1
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Ning has a spinner numbered 1 to 6. She spins it 50 times and her results are shown in the table.

Number on spinner

Frequency

1

15

2

12

3

9

4

5

5

2

6

7

i) Write down the mode.

[1]

ii) Find the median.

[1]

iii)Work out the mean.

[1]

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2
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The mean of seven numbers is 16.

Six of these numbers are 12, 20, 19, 10, 21 and 13.

Find the seventh number.

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3a
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Six students bring an apple to school one day. The list shows the mass of each apple, correct to the nearest gram.

82

94

78

103

88

82

Find

i) the mode,

.............................................. g [1]

ii) the range,

.............................................. g [1]

iiii) the median.

.............................................. g [2]

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3b
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Another student, Toni, also brings an apple to school.

The mean mass of the 7 apples is 89g.

Work out the mass of Toni’s apple.

.............................................. g

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4
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The mean of three numbers is 150.

The numbers are 361, 2n and open parentheses n minus 1 close parentheses .

Find the value of n.

n = ................................................... 

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5
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Five numbers have a mean of 9.4 .
Four of the numbers are 3, 5, 10 and 12.

Work out the range of the five numbers.

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