Level 5-6 Data Handling - Averages 01

Level 5-6 Data Handling - Averages 01

Data is another word for information. In KS3 Maths you'll get plenty of practise handling data - analysing information, creating graphs or charts, designing questionnaires. This particular quiz is about averages in data handling and, more specifically, the median value.

There are three generally accepted ways to find the average in a set of data - the mean (the figure found by adding the totals together and then dividing by the number of totals used), the mode (the amount which appears most often) and the median. The median is the set of data which appears in the middle when the data is arranged from lowest to highest.

Though concentrating mainly on median values, this quiz also looks at ranges of values. The range is the difference between the highest and the lowest pieces of data. If you were to look at the number of pets Tom, Dick and Harry have. If Tom has 1, Dick has 2 and Harry has 6 the range would be 5 (6 - 1). The median would be 2 because this is the midmost figure.

Add all the values together
Cross off the highest and lowest values
Group the frequencies
Put data values in order of size
Put the lowest at one end and the highest at the other. Then arrange all the others in between, in ascending order
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
(22 + 24) ÷ 2 = 23
None of these
9 minutes
12 minutes
15 minutes
19 minutes
What is the median time for completing the jigsaw?
12.5 minutes
13 minutes
13.5 minutes
14 minutes
10 minutes
12 minutes
14 minutes
16 minutes
What is the range of the jigsaw times now?
10 minutes
12 minutes
14 minutes
16 minutes
Because it lies outside the region of most other values
greater consistency of the data
smaller median
smaller number of data values
higher average
Author:  Frank Evans

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