Numeracy Worksheet - Castlebrae Community High School - 2012 Page 43
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47FHS Numeracy
Information Handling : Averages
contents page
To provide information about a set of data, the average value may be
given. There are 3 ways of finding the average value – the MEAN,
the MEDIAN and the MODE.
Mean
The mean is found by adding all the data together and dividing by the number of
values.
Median
The median is the MIDDLE value when all the data is written in numerical order (if we
have middle pair of values, the median is half-way between these values).
Mode
The mode is the value that occurs MOST often.
Range
The range of a set of data is a measure of spread.
Range = Highest value – Lowest value
Example 1 Class 1R2 scored the following marks for their homework assignment.
Level 2
Find the mean, median, mode and range of the results.
7,
9,
7,
5,
6,
7,
10,
9,
8,
4,
8,
5,
8,
10
MEAN
Mean =
7+9+6+5+6+7+10+9+8+4+8+5+8+10
14
102
=
14
= 7.28571 ...
= 7.3 (1.d.p.)
Level 3
MEDIAN - middle
Ordered values: 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10
Median = 7 + 8
2
This is a middle pair.
= 15
= 7.5
A single value would BE the median.
2
No calculation necessary.
MODE – most popular
8 is the most frequent mark, so Mode = 8
Range
Range = 10 – 4 = 6
43
L Watson 2012
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