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This Math quiz about averages in data handling looks at the median (the middle value of a data set) and the range. One way of analyzing information is to look at how the data is spread out or distributed around some sort of average.

1.

What do you do first to find the median of a set of data?

Add all the values together

Cross off the highest and lowest values

Group the frequencies

Put data values in order of size

2.

If there is an even number of values in the ordered set, the median is .......

halfway between the two middle values

halfway between the first and last values

the difference between the two middle values

the sum of the two middle values

Find this by adding the two middle values together then divide by 2. If both middle values are the same, that IS the median

3.

In a set of 20 data values in ascending order, the 10^{th} is 22 and the 11^{th} is 24. What is the median?

21

22

23

24

(22 + 24) ÷ 2 = 23

4.

The top five boys' names in order of popularity are Oliver, Jack, Ben, Matthew and James. What is the median of this set?

James

Oliver

Ben

None of these

This is qualitative data which cannot be arranged in size order, so there is no median

5.

Six children recorded their times (in minutes) to do a jigsaw: 12, 10, 15, 19, 11, 17. What is the range of these times?

9 minutes

12 minutes

15 minutes

19 minutes

Largest = 19, smallest = 10, 19 - 10 = 9

6.

What is the median time for completing the jigsaw?

12.5 minutes

13 minutes

13.5 minutes

14 minutes

In order: 10, 11, 12, 15, 17, 19. The median is halfway between 12 and 15. (12 + 15) ÷ 2 = 13.5

7.

Three more children completed the jigsaw. Their times were 8, 10 and 24 mins. What is the median now?

10 minutes

12 minutes

14 minutes

16 minutes

The median is lower because two smaller values have been added below the old median

8.

What is the range of the jigsaw times now?

10 minutes

12 minutes

14 minutes

16 minutes

The range is bigger because the largest and smallest values have both changed

9.

The one extra large value in the set is called an .......

outcrop

outlier

outline

outrage

Because it lies outside the region of most other values

10.

A small range of values indicates a .......

greater consistency of the data

smaller median

smaller number of data values

higher average

A larger range shows the values are more spread out and more varied

The next step is:

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