1. Mode & Median
Wednesday, 02 January 2019

2. Example Find the median for the set of numbers
3, 1, 4, 7, 8, 1, 9
8, 7, 3, 4, 4, 8, 6, 2, 1, 5

3. Example
Sally’s last 8 maths tests are as listed below. Find her median score. 34 26 17 54 51 45 39 48

4. Example
Find the median for each of the following set of numbers
(a) 6, 15, 12, 11, 8, 16, 21, 9, 13
(b) 8, 13, 7, 1, 23, 14, 17, 18
(c) 45, 28, 44, 34, 65, 31, 48, 78, 70, 29, 40
(d) , 1.7, 1.9, 2.0, 1.1, 0.9, 2.1, 1.6

5. Example
Michael’s last 10 maths tests are as listed below. Find his median score. 14 56 78 45 42 68 18 27 41 55

6. In general to find the median we could add one to the number of data points and divide by two. This value will tell you where the median is found.
e.g. in the first example above there were 7 data points therefore (7+1)/2 = 4 i.e. the median is found at the 4th data point.

7. Example
Find the mode for each of the following sets of numbers a) 1, 3, 4, 5, 6, 7, 5 b)
1.2,
1.5,
1.1,
1.6,
1.9,
1.3, c)
87,
52,
55,
67,
66,
70,
12,
17,

8. What is the modal number of goals scored?
Example
The table below shows the number of goals scored per match for some 80 football matches in the Premier division
What is the modal number of goals scored?
Number of goals 1 2 3 4 5
Frequency 7 15 26 18 9