Measures of Center Tendency

1. WELLCOME

2. Measures of Center
Tendency

3. What Is Measures of Center Tendency?
Measures of central tendency are numerical descriptive
measures
which indicate or locate the center of a distribution or
data set.

4. Types of Measures of Tendency :
 Mean
 Meiden
 Mode
 Arithmetic Mean
 Geometric Mean
 Weighted Mean

5. Mean

6. What Is Mean?
The Mean of a set of values or measurements is
the sum of all the measurements divided by the
number of measurements in the set.

7. Arithmetic Mean
The arithmetic mean is the sum of a set of observations,
positive, negative or zero, divided by the number of
observations.

8. Arithmetic Formula of MEAN
n
x
x
n
i
n
 1

9. Arithmetic Example
An electronics store sells CD players
at the following prices:
$350, $275, $500, $325, $100, $375, and $300.
What is the mean price?
$2225 / 7 = $317.86
The mean or average price of a CD player is $317.86.

10. What is Geometric Mean ?
The Geometric Mean is a special type of average where
we multiply the numbers together and then take a square
root (for two numbers), cube root (for three numbers)
etc.

11. Formula of Geometric Mean
n√(a1 × a2 × ... × an)

12. What is Weighted Mean ?
The weighted mean is a special case of arithmetic
mean. It occurs when there are several observations of
the same value.

13. Formula of Weighted Mean




 n
i
i
n
i
ii
w
xw
x
1
1

14. Meiden

15. What Is Meiden ?
The Median is the middle value
of a set of data.

16. Formula of Meiden (Ungroup) :
)1(
2
1


n
e XMFor odd









1
222
1
nne XXMFor even

17. Formula of Meiden (group) :






 F
n
f
i
LM
o
oe
2
Lower class boundary of the median Class
class interval
Frequency of the median
class Cumulative frequency

18. Mode

19. What is Mode ?
The Mode is the most frequently observed
value in a data set.

20. Formula of Mode:
iLM 



21
1
10
Slope Angle (°) Frequency (f)
0-5 6
5-10 12
10-15 7
15-20 5
20-25 0
0L
i
1
2
= Lower class boundary of modal class
= Interval of modal class
= difference of frequency of modal class and class before modal class
= difference of frequency of modal class and class after modal class
0L
modal class which has highest frequency

21. Example :
The most frequently printed
words in English are:
the, of, and, a , and to.

22. ANY QUESTION ?

23. THANK YOU !!