This presentation is about the basics of Measures of Central Tendencies.

1. MEASURES OF
CENTRAL
TENDENCIES

2. Ungrouped
data

4. Do you have an
idea what
MEAN(Statistics) is?


5. Mean
Is the average
value of a data.


6. Population Mean
Is the mean of the whole
population


7. Sample Mean
Is the mean of the part
of the population


8. Example Problems
1) The number of faculty
members in 10 different
colleges are 16, 25, 40, 24,
15, 20, 50, 15, 35 and 20.
Treating the data as a
population, find the population
mean of faculty members for

9. 2) The following are the ages of
the 9 children in a squatters
area. Find the mean.
Ages: 9, 8, 1, 3, 4, 5, 6, 7, 2

11. So,
what
is
median? Can you
give some ideas
about it?


12. Median
Is the value found at the
middle when the data are
arranged in an array form
from the highest to the
lowest or from the lowest to
the highest.


13. Example
1)
The
MEDIAN
x
9
8
7
6
5
4
3
2
1

14. 2)
x
9
8
7
6
5
4
3
2
1
1
The
MEDIAN

16. Mode
Is the value which
occurs most often or with
greatest frequency.


17. Example
1) The
MODE
x
10
9
9
7
6
5
3
2
1

18. 2)
x
18
18
17
17
17
17
16
16
16
15
15
17 and 16
The

19. grouped
data

20. What is a grouped
data?


22. In finding the mean in a
grouped data, we use
this formula:


23. Example
A
frequency
distribution of the
scores in English of
34
Education
students.


24. x
f
35 – 39
30 – 34
25 – 29
20 – 24
15 – 19
10 – 14
5-9
3
5
8
10
4
2
2
m
fm

25. x
f
m
fm
35 – 39
30 – 34
25 – 29
20 – 24
15 – 19
10 – 14
5-9
3
5
8
10
4
2
2
37
32
27
22
17
12
7
111
160
216
220
68
24
14

27. Where:
__– median
___– half sum
F – cumulative
frequency
f – frequency
i – interval

28. x
f
35 – 39
30 – 34
25 – 29
20 – 24
15 – 19
10 – 14
5-9
3
5
8
10
4
2
2
F

29. x
f
F
35 – 39
30 – 34
25 – 29
20 – 24
15 – 19
10 – 14
5-9
3
5
8
10
4
2
2
34
31
26
18
8
4
2

31. Where:
___ - mode
__ - median
__ - mean

32. Mean = 23.91
Median = 24
Find the mode using the
formula given.
