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Six children recorded their times (in minutes) to do a jigsaw.
Data Handling - Averages 1
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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 10th is 22 and the 11th 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
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