Mathematics

Home > Mathematics > General Mathematics > HSC Course > Data Analysis > DA5: Interpreting sets of data > Quick quiz: A sample of multiple choice questions for this topic.

DA5

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1. The mean of this set of scores 3, 4, 5, 5, 6, 7, 8, 10 is:

6
5
7

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2. The median of this set of scores 1, 2, 2, 2, 3, 4, 5, 6, 7 is:

2
3
6

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3. An accountant listed the hourly rates of pay of five workers: $8.15 $8.90 $6.30 $22.10 $15.40

What is the median wage rate?

$6.30
$12.17
$8.90

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4. Find the range of this set of scores 20, 42, 53, 62, 75, 89, 45, 19, 77, 85, 100

80
81
60.6

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5. Find the interquartile range of these 12 scores: 10, 12, 12, 15, 16, 17, 18, 19, 19, 21, 21, 22

6.5
13.5
20

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6. Find the mean and standard deviation of this set of scores: 19, 23, 16, 20, 18, 25, 20, 22, 15.

Correct to 2 decimal places

xbar= 20 standard deviation= 4.23

xbar= 19.78 standard deviation= 3.05

xbar= 21.32 standard deviation= 10

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Use the following box and whisker plot for questions 7, 8 and 9.

box and wisker plot

7. This box-and-whisker plot shows a representative sample of the time customers at "Ahmad's Take-away" were required to wait before their meal was ready.

The box in the diagram represents the interquartile range. In this diagram, 50% of the customers waited from:

Longer than 4 minutes.
Less than 6 minutes.
From 6 to 16 minutes.

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8.

The time of 22 minutes (indicated by +) is very different from the others.

It is called:

An outlier.
An odd score.
Neither A or B.

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9. From the diagram the median is

6
11
14

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10. Which graph shows a positively skewed distribution?

graph mean to right of mode


graph mean to left of mode


graph mean and mode equal

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11. In this diagram

graph mean to left of mode

The mean is bigger than the mode.
The mean is the same as the mode.
The mean is smaller than the mode.

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12.

Narelle and Lesley are two test item writers who are being considered for an important job. In this back-to-back stem and leaf plot the number of items written per hour were recorded.

Narelle Lesley
Leaf Stem Leaf
7 4 2


0
1
2
2 3 5
1 2

Which test item writer produced the most items over the 5 hours?

Narelle.
Lesley.
Can't tell from this diagram.

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13. The median score for Test A was approximately

box and wisker plots for tests A and B

70
35
84

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14. Using the diagram in Q13, what was the lowest score on Test B?

Less than 25
Approximately 35
25

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15.

What was the total population surveyed?

  Men Women Total
Smoker
2500
1400
3900
Non-smoker
6500
7600
14 100
Total
9000
9000
18 000

9000
14 100
18 000

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16. Using the two-way table in Q15 what percentage of the women are non-smokers?

Approximately 54%
Approximately 84%
Approximately 42%

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17. Which diagram best illustrates an area chart?

graph 1


 

box and whisker plot


graph 3

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