The Normal Distribution Worksheet - Oxford Insight Mathematics General Hsc General 2 Student Book Page 16
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206 The number of matches in a box is approximately normally distributed with a mean of 50 and a standard
deviation of 1. Approximately 95% of boxes will have between:
A 49 and 51 matches
B 48 and 52 matches
C 47 and 53 matches
D 46 and 54 matches
7 For a normal distribution, the percentage of scores between z = −2 and z = −1 is:
A 27
B 34
C 13.5
D 2.35
8 Which of the following distributions could be normal?
A
x
7
8
9
10
11
12
13
f
2
5
10
18
12
6
1
x
2
3
4
5
6
7
8
B
f
25
18
12
9
11
19
24
C
x
31
32
33
34
35
36
37
f
19
28
16
8
4
2
1
D
x
24
25
26
27
28
29
30
f
5
7
10
13
15
26
38
If you have any diffi culty with these questions, refer to the examples and questions in the sections listed in the table.
Question
1, 2
3, 4
5–8
Section
A
C
D
6A
REVIEW SET
1 In an Art test the mean was 68 and the standard deviation was 8. Calculate the standardised score for a mark of:
a 60
b 76
c 48
d 80
2 Skye scored 48 in a Geography test for which the mean was 58 and the standard deviation 4. She scored 49 in a
History test, for which the mean was 61 and the standard deviation 8.
a In which subject did she perform better, given that the classes are of equal ability?
b What mark would Skye have to have scored in Geography for her performance to be equivalent to that in
History?
3 The following table shows Ben’s marks in the term tests. In which test did he perform the best?
Test
Mark
Mean
Standard deviation
Term 1
65
55
8
Term 2
69
60
6
Term 3
66
58
10
Term 4
65
62
4
214
Insight Mathematics General 12
HSC Course 2
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