Page 393 - Math Smart - 7

Find the median of this data set.
5, 7, 2, 8,11,6, 6, 0,1
Solution
First, rank the data values in ascending order:
middle
In this example, there is
0, 1, 2, 5,06, 7, 8, 11
an c dd number of values.
V > \ J
4 numbers 4 numbers
There are 9 values. The number in the middle is the 5*^ value.
The middle value is 6. So, the median of this data set is 6.

Find the median of this data set.
4, 7, 2, 8, 11,5, 6, 0, 1,9

Solution
First, rank the data values in ascending order:
middle

In this example, there is
0, 1, 2, 4,{|[6)7, 8, 9, 11 an even number of values.
V I \ J
4 numbers 4 numbers

There are 10 values. The median is the mean of the two middle values.

5 + 6
The median of this data set is —^
= 5.5
The mean Is calculated by adding the values together and dividing the sum by
the number of values.
Therefore, the median is 5.5.

I

The median is the middle |
value of a set of data |
Find the median of each data set.
when it is arranged in j
a) 2,9,3,7,4, 1,6,0,8
order. J
b) 12,9, 13,7,14,21,17,10,18,15
When there is an even
c) 5,6,11,6,4,3,9,1,10,8
number of values
A horticulturalist records the lengths of some leaves from a tree in the arranged in order, the
frequency table below. What is the median length of the leaves? median is the mean of the ;
two middle values. |
Length (mm) 24 32 41 50 I UWIWlWixf

Frequency 1 4 3 2

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