16 Cumulative Frequency Worksheet
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27MEP Y9 Practice Book B
16 Cumulative Frequency
16.1 Averages
In this section we revisit the three types of average, the mean, median and mode.
We also use the range of a set of data.
sum of the values
=
Mean
number of values
=
Median
middle value (when the data is arranged in
order); where there are two central values,
the median is their mean
=
Mode
most common value
=
Range
difference between largest and smallest values
Example 1
1
7
8
2
3
6
5
10
3
For this sample,
(a)
calculate the mean,
(b)
determine the median,
(c)
state the mode,
(d)
calculate the range.
Solution
+
+ +
+ +
+
+
+
1
7
8
2
3
6
5 10
3
=
(a)
Mean
9
45
=
9
=
5
(b) To find the median, first write the numbers in order.
1
2
3
3
5
6
7
8
10
Median
As the number of data items is odd, the median will be the middle number,
which is 5 in this case, so
=
Median
5
(c)
The mode is the most common value, which is 3 for this set of values.
= 10
−
(d)
Range
1
=
9
168
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