Name: - : Instructions
Name: - : Instructions
Name: - : Instructions
Anushka Yadav
GCSE (1 – 9)
Averages
Instructions
Information
Advice
mathsgenie.co.uk
1 Here is a list of 10 numbers.
2 3 4 4 4 5 6 6 7 7
7-2 = 5
…..........................
5
(b) Find the mode. (1)
…..........................
4
(c) Calculate the mean.
(1)
2 + 3 + 4 + 4 + 4 + 5 + 6 + 6 + 7 + 7 = 48
48/10 = 4.8
…..........................
4.8
(2)
(Total for question 1 is 4 marks)
4 6 9 10 11
11-4=7
…..........................
7
(1)
(b) Write down the median.
40/5 = 8
8
…..........................
(2)
(Total for question 2 is 4 marks)
3 Here are the heights, in cm, of 8 people.
190-151 = 39
….......................…
39 cm
(b) Find the mode. (1)
171
….......................… cm
(c) Calculate the mean.
(1)
155+171+164+171+167+188+190+151=1357
1357/8=169.625 ….......................…
169.625 cm
(2)
(Total for question 3 is 4 marks)
150-105=45 …..........................
45
(1)
(b) Work out the median weight.
105,125,129,133,144,150
129+133 = 262
19 7 11 8 15 15
(a) Work out the range of the numbers on the cards.
19 - 7 = 12
…..........................
12
(1)
(b) Work out the mean of the numbers on the cards.
19 + 11 + 15 + 15 + 8 + 7 = 75
75/6=12.5
…..........................
12.5
(2)
(Total for question 5 is 3 marks)
1 4 4 5 6 8 11 11 11 14
14-1=13
13
…..........................
(b) Find the mode. (1)
…..........................
11
(1)
12 5 10 18 12 11 9
(a) Work out the range of the numbers on the cards.
18-5=13
…..........................
13
(1)
(b) Work out the median of the numbers on the cards.
5,9,10,11,12,12,18
…..........................
11
(2)
(c) Work out the mean of the numbers on the cards.
5 + 9 + 10 + 11 + 12 + 12 + 18 = 77
77/7=11
…..........................
11
(2)
(Total for question 7 is 5 marks)
8 Here is a list of numbers.
8 6 4 5 9 8
4,5,6,8,8,9
6+8 = 14 / 2 = 7 7
…..........................
(2)
4 5 ? 6 3 ?
The mode of the six numbers is 4 4 is a mode so there is more than one 4
The mean of the six numbers is 5
30 - 22 = 8
.......................…
4 , ..........................
8
(2)
14 19 15 20 11 14 19
20 - 11 = 9
9
…..........................
(b) Calculate the mean (2)
14 + 19 + 15 + 20 + 11 + 14 + 19 = 112
112/7 = 16
…..........................
16
(2)
Andrew says,
”The median is the middle number, so the median is 20.”
Andrew has forgetten to put the numbers in either ascending or descending order which is
11 6 7 10 7 9 ?
The mean of the numbers is 9.
7x9 = 63
11 + 6 + 7 + 10 + 7 + 9 = 50
63-50 = 13
13
…..........................
(Total for question 10 is 2 marks)
11 The mean of eight numbers is 41.
The mean of two of the numbers is 29.
Work out the mean of the other six numbers.
8 x 41 = 328
2 x 29 = 52
328 - 59 = 270
270/6 = 45
45
…..........................
(Total for question 11 is 3 marks)
13.2 x 5 = 66
66 + 20 = 86
86/6 = 14.3
….......................…
14.3 km
(Total for question 12 is 3 marks)