30 Questions
| Total Attempts: 167

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Questions and Answers

- 1.The following is a set of measurements: 11.0, 11.4, 12.3, 10.5, 11.6, 11.2, 11.8, 11.1, 11.2, 11.3, 11.5 The mean value is closest to:
- A.
11.11

- B.
11.15

- C.
11.35

- D.
11.50

- E.
11.56

- F.
I don't know

- 2.The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months. If 2000 batteries are sold, the number expected to last less than 15 months is closest to:
- A.
3

- B.
8

- C.
15

- D.
30

- E.
80

- F.
I don't know

- 3.The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months. The percentage of batteries that can be expected to last less than 30 months is:
- A.
2.5%

- B.
16%

- C.
32%

- D.
95%

- E.
97.5%

- F.
I don't know

- 4.The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months. The percentage of batteries that can be expected to last less than 21 months is:
- A.
16%

- B.
32%

- C.
50%

- D.
68%

- E.
95%

- F.
I don't know

- 5.The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months. The percentage of batteries that can be expected to last between 18 and 30 months is:
- A.
16%

- B.
32%

- C.
50%

- D.
68%

- E.
95%

- F.
I don't know

- 6.The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months. The percentage of batteries that can be expected to last more than 24 months is:
- A.
16%

- B.
32%

- C.
50%

- D.
68%

- E.
95%

- F.
I don't know

- 7.In a normal distribution, approximately 16% of values lie:
- A.
Within one Standard Deviation of the mean

- B.
Within two Standard Deviations of the mean

- C.
Within two Standard Deviations of the mean

- D.
More than one Standard Deviation above the mean

- E.
More than two Standard Deviations below the mean

- F.
I don't know

- 8.In a normal distribution, approximately 95% of values lie:
- A.
Within one Standard Deviation of the mean

- B.
Within two Standard Deviations of the mean

- C.
Within three Standard Deviations of the mean

- D.
More than one Standard Deviation above the mean

- E.
More than two Standard Deviations below the mean

- F.
I don't know

- 9.A student’s standardised score on a test was –2. The mean score on the test was 20 marks with a standard deviation of 3. Her actual mark on the test was:
- A.
11

- B.
14

- C.
17

- D.
18

- E.
26

- F.
I don't know

- 10.A student’s mark on a test is 60. The mean mark for their class is 75 and the standard deviation is 6. Their standard score is:-
- A.
-15

- B.
-6

- C.
-2.5

- D.
2.5

- E.
15

- F.
I don't know

- 11.It would
*not*be appropriate to determine the mean and standard deviation of a group of women’s:- A.
Heights

- B.
Age at leaving school

- C.
Weights

- D.
Place of residence

- E.
Time spent on leisure activities

- F.
I don't know

- 12.The histogram above shows the distribution of the amount spent on gambling by a large sample of gamblers. For this distribution, the mean would be:
- A.
Less than the median

- B.
Approximately equal to the median

- C.
Greater than the median

- D.
Less than $1000

- E.
Less than $10 000

- F.
I don't know

- 13.For this set of test marks: 20, 21, 13, 15, 16, 24, 17 the actual value of the standard deviation, correct to one decimal place, is:
- A.
2.1

- B.
2.7

- C.
3.5

- D.
3.8

- E.
3.9

- F.
I don't know

- 14.For this set of test marks: 20, 21, 13, 15, 16, 24, 17 an
*estimate*of the standard deviation (based on the range) is- A.
2.5

- B.
2.75

- C.
3.0

- D.
5.5

- E.
11.0

- F.
I don't know

- 15.For this set of test marks: 20, 21, 13, 15, 16, 24, 17 the mean value is:
- A.
16

- B.
17

- C.
18

- D.
19

- E.
20

- F.
I don't know

- 16.The heights of a group of 256 junior athletes is approximately normally distributed with a mean of 157 cm and a standard deviation of 3 cm. The number of junior athletes with heights greater than 154 cm is around:
- A.
82

- B.
128

- C.
175

- D.
215

- E.
250

- F.
I don't know

- 17.The heights of a group of 256 junior athletes is approximately normally distributed with a mean of 157 cm and a standard deviation of 3 cm. The number of junior athletes with heights less than 151 cm is around:
- A.
3

- B.
6

- C.
12

- D.
128

- E.
250

- F.
I don't know

- 18.The heights of a group of 256 junior athletes is approximately normally distributed with a mean of 157 cm and a standard deviation of 3 cm. The percentage of the junior athletes with heights between 148 and 166 cm is:
- A.
0.03%

- B.
50%

- C.
68%

- D.
95%

- E.
99.7%

- F.
I don't know

- 19.In a normal distribution, approximately 32% of values lie:
- A.
Within one Standard Deviation of the mean

- B.
Within two Standard Deviations of the mean

- C.
Within three Standard Deviations of the mean

- D.
More than one Standard Deviation above or below the mean

- E.
More than two Standard Deviations above or below the mean

- F.
I don't know

- 20.In a normal distribution, approximately 2.5% of values lie:
- A.
Within one Standard Deviation of the mean

- B.
Within two Standard Deviations of the mean

- C.
Within three Standard Deviations of the mean

- D.
More than one Standard Deviation above the mean

- E.
More than two Standard Deviations above the mean

- F.
I don't know

- 21.In a normal distribution, approximately 0.3% of values lie:
- A.
Within one Standard Deviation of the mean

- B.
Within two Standard Deviations of the mean

- C.
Within three Standard Deviations of the mean

- D.
More than three Standard Deviations above or below the mean

- E.
More than two Standard Deviations above or below the mean

- F.
I don't know

- 22.In a normal distribution, approximately 95% of values lie:
- A.
Within one Standard Deviation of the mean

- B.
Within two Standard Deviations of the mean

- C.
Within three Standard Deviations of the mean

- D.
More than one Standard Deviation above the mean

- E.
More than two Standard Deviations below the mean

- F.
I don't know

- 23.A student’s standardised score on a test is –0.5. The mean mark for their class is 68 and the standard deviation is 4. Their test score is:
- A.
60

- B.
64

- C.
66

- D.
67.5

- E.
70

- F.
I don't know

- 24.A student’s mark on a test is 75. The mean mark for their class is 68 and the standard deviation is 4. Their standardised score is:
- A.
–2.5

- B.
–1.75

- C.
0

- D.
1.75

- E.
2.5

- F.
I don't know

- 25.It is reasonable to use the mean measure of the centre of a distribution:
- A.
When the distribution is negatively skewed

- B.
When the distribution is positively skewed

- C.
When the distribution is symmetric

- D.
When the distribution is symmetric with outliers

- E.
Always

- F.
I don't know

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