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Worksheet
The mean and fx tables
1 Sixteen students were surveyed about the number of children in their families. The results are below.
Calculate the mean of this data.
1
1
1
2
2
2
2
3
3
3
3
4
4
5
6
8
2 The heights (in centimetres) of nine people are:
168
170
173
173
175
176
178
183
188
36
12
Find the mean height.
3 The scores made by the players in a cricket team were:
105
75
19
38
60
89
25
0
7
Calculate the mean score, correct to two decimal places.
When there are many scores, it is easier to calculate the mean by using a frequency table with an fx
column (f multiplied by x) to collect and add the scores.
4 For the data set of 30 scores below, complete the frequency table and use the formula Mean ¼
to calculate the mean of the data.
4
5
5
5
6
6
6
6
6
6
6
6
7
7
7
7
7
7
7
8
8
8
8
8
8
8
8
10
10
10
Score (x)
Frequency (f )
(fx)
4
1
4
5
3
15
6
8
48
sum of fx
sum of x
7
8
9
10
Total
Mean ¼
¼
© Cengage Learning Australia Pty Ltd 2011
MAT08SPWK00003
Statistics and Probability: Data representation and interpretation
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/MAC8/Worksheets/Edited_MAT08SPWK00003_Mean_tables.3d] [24/11/011/9:43:6] [1–
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5 Find the mean of these scores:
2
1
2
5
5
2
2
3
2
1
4
3
1
1
2
3
5
1
x
f
fx
1
2
3
4
5
Total
Mean ¼
¼
6 Calculate the mean (correct to two decimal places, where necessary) for each set of data below.
a
12
15
10
11
12
11
10
13
12
14
9
10
11
12
12
10
9
9
9
10
x
f
fx
9
10
11
12
13
14
15
Total
© Cengage Learning Australia Pty Ltd 2011
MAT08SPWK00003
Statistics and Probability: Data representation and interpretation
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/MAC8/Worksheets/Edited_MAT08SPWK00003_Mean_tables.3d] [24/11/011/9:43:6] [1–
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b
4
4
3
6
5
6
4
4
5
2
8
5
6
7
4
3
5
4
3
4
3
4
4
5
3
2
7
7
4
5
x
f
fx
Total
c
1
1
2
2
4
3
5
3
2
1
2
2
3
1
4
5
3
2
3
3
3
4
2
1
0
0
1
3
2
3
2
2
3
2
2
2
3
1
2
2
x
f
fx
Total
© Cengage Learning Australia Pty Ltd 2011
MAT08SPWK00003
Statistics and Probability: Data representation and interpretation
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/MAC8/Worksheets/Edited_MAT08SPWK00003_Mean_tables.3d] [24/11/011/9:43:6] [1–
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d
x
f
5
3
6
7
7
9
8
10
9
2
10
1
fx
Total
© Cengage Learning Australia Pty Ltd 2011
MAT08SPWK00003
Statistics and Probability: Data representation and interpretation
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/MAC8/Worksheets/Edited_MAT08SPWK00003_Mean_tables.3d] [24/11/011/9:43:6] [1–
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Answers
1 3.125
2 176
3 42.36
4
x
f
fx
4
1
5
5
x
f
fx
4
1
5
5
3
15
2
6
12
6
8
48
3
3
9
7
7
49
4
1
4
8
8
64
5
3
15
9
0
0
Total
18
45
10
3
30
Total
30
210
Mean ¼
210
¼ 7
30
6 a
Mean ¼
x
f
fx
9
4
10
b
45
¼ 2.5
18
x
f
fx
36
2
2
4
5
50
3
5
15
11
3
33
4
10
40
12
5
60
5
6
30
13
1
13
6
3
18
14
1
14
7
3
21
15
1
15
8
1
8
Total
20
221
Total
30
136
Mean ¼
221
¼ 11.05
20
© Cengage Learning Australia Pty Ltd 2011
Mean ¼
MAT08SPWK00003
136
¼ 4.5
30
Statistics and Probability: Data representation and interpretation
www.nelsonnet.com.au
[Satish][NelsonNet Worksheet][D:/Thomson_Learning_Projects/NelsonNet_Worksheets_SB7_1080060/z_production/z_3B2_3D_files/MAC8/Worksheets/Edited_MAT08SPWK00003_Mean_tables.3d] [24/11/011/9:43:6] [1–
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c
x
f
0
d
x
f
fx
2
5
3
15
1
7
6
7
42
2
15
7
9
63
3
11
8
10
80
4
3
9
2
18
5
2
10
1
10
Total
40
Total
32
228
Mean ¼
92
¼ 2.3
40
© Cengage Learning Australia Pty Ltd 2011
Mean ¼
MAT08SPWK00003
228
¼ 7.125
32
Statistics and Probability: Data representation and interpretation
www.nelsonnet.com.au