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Home > Mathematics > General Mathematics > Preliminary Course > Data Analysis > DA4: Summary statistics > Quick quiz: A sample of multiple choice questions for this topic.

DA4

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1. When using the formula x-bar = sigma-x divided by n


For the data 7, 5, 11, 16, 19, 21 the value of sigma-x is:

6
 78
 13

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2. Use your calculator in statistical mode to find the mean of:
10, 5, 4, 3, 2, 9, 10, 11, 6, 5, 6, 4, 5, 1, 3, 10, 7, 8, 2, 3

3.002
 20
 5.7

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3. One way of determining if the data is really scattered or concentrated around the mean is by analysing the:
Standard deviation.
 Range.
 Median and the mean.

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4. There are two measures of standard deviation Standard Deviation and Standard Deviation - 1. Which is which?

Standard Deviation = Sample standard deviation. Standard Deviation - 1= Population standard deviation.


 Standard Deviation = Population standard deviation. Standard Deviation - 1= sample standard deviation.


 It doesn't matter as they both do the same calculation.

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5. For the data: 10, 5, 4, 3, 2, 9, 10, 11, 6, 5, 6, 4, 5, 1, 3, 10, 7, 8, 2, 3 the:

Median is 5 and the mode is 5.
 The medians are 3 and 10, and the mode is 5.
 The median is 5 and the modes are 3, 5 and 10.

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6. When would the mode be a more useful measure than the median?
When you wanted to order stock for a jeans shop.
 When there is a wide range.
 When you want to know how well you did in a year 11 exam.

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7. Three equal sized samples were taken of Year 11 students in NSW.

Each time the data collected was hours spent studying on the weekend. The results appear in summary below as three box-and-whisker plots.

3 box and whisker plots

Which of the following statements can be made from comparing these three plots?

Sample 1 included a lot of lazy students.
 Sample 2 is the most representative sample.
 Sample 3 included at least one student who studied more than most.

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