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Averages & Range · MCQ assessment

Calculator allowedVersion A

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1Here is the number of siblings for 8 children.
Work out the mean.
20, 15, 6, 20, 16, 15, 6, 6
A13B14.86C104D15
2Here are the test score for 9 pupils.
Work out the median.
10, 4, 6, 1, 12, 6, 7, 3, 4
A11B6C12D1
3Here are seven numbers:
2, 5, 6, 4, 10, 8, 2
Choose the range.
A5B10C2D8
4Here is the test score for 6 pupils.
Work out the mean.
8, 11, 9, 9, 6, 2
A9B8.5C7.5D45
5Here are the shoe size for 7 people.
Work out the range.
12, 8, 11, 2, 1, 4, 3
A1B4C12D11
6The mean of these 5 numbers is $9$.
One value is missing (shown as $?$).
Work out the missing value.
9, 4, 18, 12, ?
A45B9C2D-3
7The frequency table shows the number of siblings of some children.
Calculate the mean number of siblings.
Give your answer to 1 decimal place.
Number of siblingsFrequency
27
39
43
54
63
A91B18.2C3.5D26
8The grouped frequency table shows the mass of 35 parcels.
Write down the modal class.
Mass (kg)Frequency
0 < m ≤ 1012
10 < m ≤ 204
20 < m ≤ 3011
30 < m ≤ 408
A$10 < m \le 20$B$0 < m \le 10$C$20 < m \le 30$D$30 < m \le 40$
9A few very high salaries are pulling the typical wage figure up unfairly.
Which average is the most appropriate to use?
AModeBMedianCMeanDMidrange
10The frequency table shows the test score of 27 pupils.
Find the median test score.
Test score (marks)Frequency
24
35
46
58
64
A4B6C2D14
11The mean of these 5 numbers is $9$.
One value is missing (shown as $?$).
Work out the missing value.
5, 10, 12, 12, ?
A6B1C45D9
12A person has these 4 shoe size:
9, 7, 3, 13
One more value is added so that the mean of all $5$ values becomes $9$.
What value must be added?
A9B8C4D13
13Femi and Dev each recorded the shoe size for 5 people.
Femi: 2, 8, 4, 4, 17
Dev: 4, 3, 3, 1, 14
Whose shoe size is more consistent (less spread out)?
AFemi’s, because it has the higher meanBDev’s, because it has the larger rangeCFemi’s, because it has the smaller rangeDDev’s, because it has the smaller range
14The grouped frequency table shows the mass of 25 parcels.
Work out an estimate for the mean mass.
Give your answer to 1 decimal place.
Mass (kg)Frequency
0 < m ≤ 57
5 < m ≤ 108
10 < m ≤ 152
15 < m ≤ 204
20 < m ≤ 254
A8B52.5C13D10.5
15A match has these 4 goals scored:
15, 10, 7, 10
One more value is added so that the mean of all $5$ values becomes $11$.
What value must be added?
A10.5B2C13D11
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Averages & Range · MCQ assessment

Calculator allowedVersion B

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1Here is the cars sold per day for 8 days.
Work out the mean.
1, 4, 14, 19, 1, 17, 11, 1
A8.5B7.5C9.71D68
2Here are seven numbers:
9, 8, 10, 5, 8, 4, 7
Choose the range.
A4B6C10D8
3Here are the number of siblings for 9 children.
Work out the median.
11, 5, 9, 7, 5, 10, 5, 1, 11
A1B11C10D7
4Here is the number of pets for 5 students.
Work out the mean.
10, 8, 5, 14, 20
A14.25B57C10D11.4
5Here are seven numbers:
3, 2, 10, 3, 8, 10, 7
Choose the range.
A7B10C8D2
6The mean of these 5 numbers is $13$.
One value is missing (shown as $?$).
Work out the missing value.
16, 12, 17, 6, ?
A14B9C13D65
7A teacher wants a single figure that uses every test score in the class.
Which average is the most appropriate to use?
AMedianBMeanCMidrangeDMode
8The frequency table shows the number of pets of 25 students.
Find the median number of pets.
Number of petsFrequency
07
15
26
37
A13B0C2D3
9The frequency table shows the shoe size of some people.
Calculate the mean shoe size.
Give your answer to 1 decimal place.
Shoe sizeFrequency
15
27
39
44
55
A2.9B30C87D17.4
10The grouped frequency table shows the test score of 51 students.
Write down the class interval that contains the median.
Test score (marks)Frequency
0 < s ≤ 512
5 < s ≤ 1011
10 < s ≤ 1510
15 < s ≤ 208
20 < s ≤ 2510
A$15 < s \le 20$B$0 < s \le 5$C$20 < s \le 25$D$10 < s \le 15$
11The mean of these 5 numbers is $13$.
One value is missing (shown as $?$).
Work out the missing value.
5, 17, 12, 17, ?
A13B9C65D14
12The grouped frequency table shows the distance of 25 throws.
Work out an estimate for the mean distance.
Give your answer to 1 decimal place.
Distance (m)Frequency
0 < d ≤ 59
5 < d ≤ 105
10 < d ≤ 154
15 < d ≤ 207
A11.8B58.1C6.8D9.3
13A child has these 4 number of siblings:
9, 3, 11, 11
One more value is added so that the mean of all $5$ values becomes $10$.
What value must be added?
A8.5B10C6D16
14Dev and Grace each recorded the shoe size for 5 people.
Dev: 7, 14, 9, 5, 15
Grace: 5, 13, 13, 9, 5
Whose shoe size is more consistent (less spread out)?
AGrace’s, because it has the larger rangeBDev’s, because it has the higher meanCDev’s, because it has the smaller rangeDGrace’s, because it has the smaller range
15The grouped frequency table shows the length of 25 leaves.
Work out an estimate for the mean length.
Give your answer to 1 decimal place.
Length (cm)Frequency
10 < L ≤ 206
20 < L ≤ 3011
30 < L ≤ 406
40 < L ≤ 502
A26.6B31.6C166.3D21.6
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Averages & Range · MCQ assessment

Calculator allowedVersion C

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1Here are the test score for 7 pupils.
Work out the median.
4, 6, 10, 4, 8, 11, 8
A4B7C11D8
2Here are seven numbers:
10, 4, 5, 2, 7, 10, 8
Choose the mode.
A7B2C10D8
3Here is the shoe size for 6 people.
Work out the mean.
1, 13, 16, 7, 18, 11
A13.2B11C12D66
4Here are the cars sold per day for 9 days.
Work out the median.
11, 1, 8, 8, 5, 12, 5, 1, 12
A11B8C12D1
5Here are seven numbers:
2, 9, 2, 6, 1, 1, 7
Choose the range.
A8B9C1D2
6The frequency table shows the test score of some pupils.
Calculate the mean test score.
Give your answer to 1 decimal place.
Test score (marks)Frequency
07
19
23
38
43
A1.7B30C51D10.2
7The mean of these 6 numbers is $13$.
One value is missing (shown as $?$).
Work out the missing value.
10, 8, 17, 17, 6, ?
A14B78C20D13
8The grouped frequency table shows the length of 29 leaves.
Write down the modal class.
Length (cm)Frequency
20 < L ≤ 4011
40 < L ≤ 603
60 < L ≤ 806
80 < L ≤ 1005
100 < L ≤ 1204
A$60 < L \le 80$B$20 < L \le 40$C$100 < L \le 120$D$40 < L \le 60$
9The frequency table shows the test score of 13 pupils.
Find the median test score.
Test score (marks)Frequency
22
31
44
56
A7B5C4D2
10A clothes shop wants to know the most popular T-shirt size to restock.
Which average is the most appropriate to use?
AMidrangeBModeCMeanDMedian
11The frequency table shows the cars sold per day of some days.
Calculate the mean cars sold per day.
Give your answer to 1 decimal place.
Cars sold per dayFrequency
05
19
23
37
A36B1.5C9D24
12A student has these 4 number of pets:
14, 14, 7, 8
One more value is added so that the mean of all $5$ values becomes $12$.
What value must be added?
A5B17C12D10.75
13The grouped frequency table shows the time of 40 runners.
Work out an estimate for the mean time.
Give your answer to 1 decimal place.
Time (seconds)Frequency
10 < t ≤ 2010
20 < t ≤ 309
30 < t ≤ 4010
40 < t ≤ 5011
A35.5B305C25.5D30.5
14Harun and Femi each recorded the test score for 5 pupils.
Harun: 9, 10, 1, 1, 4
Femi: 13, 10, 15, 9, 3
Whose test score is more consistent (less spread out)?
AFemi’s, because it has the smaller rangeBFemi’s, because it has the higher meanCHarun’s, because it has the smaller rangeDHarun’s, because it has the larger range
15A pupil has these 5 test score:
7, 9, 4, 6, 5
One more value is added so that the mean of all $6$ values becomes $8$.
What value must be added?
A8B9C6.2D17
How confident do you feel on this topic now?RedAmberGreen

Averages & Range · MCQ assessment

Calculator allowedVersion D

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1Here is the cars sold per day for 5 days.
Work out the mean.
3, 2, 5, 13, 13
A36B5C9D7.2
2Here are seven numbers:
4, 2, 2, 5, 5, 3, 5
Choose the mode.
A2B4C5D3
3Here are the number of siblings for 7 children.
Work out the median.
12, 1, 8, 2, 4, 2, 2
A12B1C11D2
4Here is the cars sold per day for 8 days.
Work out the mean.
16, 20, 14, 8, 14, 12, 6, 18
A13.5B14C15.43D108
5Here are seven numbers:
7, 6, 4, 3, 10, 2, 7
Choose the range.
A6B10C8D2
6The mean of these 5 numbers is $9$.
One value is missing (shown as $?$).
Work out the missing value.
8, 7, 15, 13, ?
A9B2C45D-3
7The frequency table shows the shoe size of some people.
Calculate the mean shoe size.
Give your answer to 1 decimal place.
Shoe sizeFrequency
02
17
21
35
A24B6C15D1.6
8The grouped frequency table shows the distance of 38 throws.
Write down the modal class.
Distance (m)Frequency
0 < d ≤ 511
5 < d ≤ 106
10 < d ≤ 155
15 < d ≤ 208
20 < d ≤ 258
A$5 < d \le 10$B$0 < d \le 5$C$20 < d \le 25$D$10 < d \le 15$
9A clothes shop wants to know the most popular T-shirt size to restock.
Which average is the most appropriate to use?
AMeanBModeCMidrangeDMedian
10The frequency table shows the shoe size of 19 people.
Find the median shoe size.
Shoe sizeFrequency
23
36
41
59
A2B10C4D5
11The mean of these 5 numbers is $10$.
One value is missing (shown as $?$).
Work out the missing value.
11, 13, 2, 4, ?
A10B50C15D20
12A match has these 4 goals scored:
5, 4, 9, 12
One more value is added so that the mean of all $5$ values becomes $12$.
What value must be added?
A30B18C7.5D12
13The grouped frequency table shows the test score of 25 students.
Work out an estimate for the mean test score.
Give your answer to 1 decimal place.
Test score (marks)Frequency
0 < s ≤ 510
5 < s ≤ 104
10 < s ≤ 154
15 < s ≤ 207
A56.9B9.1C11.6D6.6
14Isla and Harun each recorded the cars sold per day for 5 days.
Isla: 9, 8, 10, 8, 15
Harun: 3, 3, 7, 9, 8
Whose cars sold per day is more consistent (less spread out)?
AIsla’s, because it has the smaller rangeBHarun’s, because it has the larger rangeCHarun’s, because it has the smaller rangeDIsla’s, because it has the higher mean
15A student has these 5 number of pets:
10, 12, 8, 13, 7
One more value is added so that the mean of all $6$ values becomes $11$.
What value must be added?
A5B10C16D11
How confident do you feel on this topic now?RedAmberGreen
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