The document defines and provides examples of three measures of central tendency: mean, median, and mode. It explains that the mean is the average and is calculated by adding all values and dividing by the total number. The median is the middle number when values are sorted. The mode is the value that appears most frequently in the data set.

1. Central
Tendency
❏ Mean
❏ Median
❏ Mode

2. Mean

3. What is mean?
➢ This a quantity that has a value in the center between a set of numbers. The
‘mean’ is known as the ‘average’.
➢ To find the mean, add all the numbers and divide by the amount of numbers
added.

4. Formula
u = x1 + x2 + … + xm
m
Example
The following data shows the test results of 5 students.
75, 85, 95, 85, 100
The mean would be the average result per student:
x = 75 + 85 + 95 + 85 + 100 = 440 = 88
5 5
The mean would be 88

5. Median

6. What is median?
➢ This is the middle number in a sorted { ascending or descending } list of
numbers and can be more explanatory of the data set than the mean.
➢ To find the median the data set has to listed in numerical order and find the
value in the middle. If there is an even amount of numbers all that is needed
to be done is to add the middle pair and divide it by two to determine the
median.

7. Example
The following data shows the test results of 5 students.
75, 84, 85, 95, 100
The median would be 85, however if a sixth student is added with a score of 65
the data would change to 65, 75, 84, 85, 95, 100.
The median would be 84 + 85 = 169 = 84.5
2 2

8. Mode

9. What is mode?
➢ This is the the value that appears most frequently in a set of data. If there is
no number that repeats, then there is no mode in the data set.

10. Example
Find the mode of the following data set that shows the test results of 5 students.
75, 85, 95, 85, 100
Since 85 reoccurs twice, the mode is 85.

11. The end