The document discusses various statistical concepts including types of statistics, measures of central tendency, and their definitions and examples. It then uses the sales data of two salesmen to demonstrate calculating the mean, median, and mode in order to help a sales manager determine which salesman to promote based on their sales performance over the past 7 months. Based on the measures of central tendency, Salesman A should be promoted as they have a higher mean and median number of cars sold compared to Salesman B.

2. Review:
What is Statistics?
What are the types of Statistics?
What is the difference between
Differential Statistics and
Inferential Statistics?
What is the importance of
Statistics in different profession?

3. Arrange the following in ascending order.
1.) 3, 12, 18, 22 ,16
2.) -4, 10, 7, 11, -2, 1
3.) 4, -8, 2, 5, 10
4.) 11, -23, 12, 10, -24
5.) -6, 5, 10, -7, 13

4. Mean, Median, and Mode of
Ungrouped Data.
Measure of Central Tendency

5. HELP ME!
A sales manager in a car company is planning
to promote one of his two top salesmen to a
supervisory position.
To help determine who will be promoted on his
two top salesman the sales manager made a
tabular presentation of the sales performance
of them over last 7 months.

6. Month Salesman A Salesman B
January 9 10
February 11 12
March 7 12
April 7 10
May 5 11
June 39 12
July 6 12
Total # of
cars sold
84 79

7. Measure of Central
Tendency
- is a single value that describes
the way in which a group of data
clusters around the central
value.

8. The Three Measures of
Central Tendency
MEAN
MEDIAN
MODE

9. MEAN(AVERAGE) of
Ungrouped Data
- it is the total of the observation
divided by the number of
observation. It is also the most
frequently used measure of central
tendency.

10. Cont…
Examples:
1. Find the mean of the scores of 5
students in a quiz 10, 7,8,5,5.
The mean is 7
2. Find the mean of the age of 5 high
school students 18, 15,17,14,16.
The mean is 16

11. MEDIAN Of Ungrouped Data
-is the middle most value of the
data.

12. Cont…
Examples:
1. Find the median of the scores of the
students 18, 5, 18, 12, 2. Arrange the
data in ascending order.
2, 5, 12, 18, 18,
The median is 12.

13. Cont…
2. Find the median of the ages of the students
23, 17, 12, 18, 20, 14, 25, 28. Arrange the
data in ascending order.
12, 14, 17, 18, 20, 23, 25, 28
The median is 19.

14. MODE OF Ungrouped Data
- is the value in data set that appears
most frequently.
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15. Cont…
Examples:
1. Find the mode of the data 15, 17, 10,
12, 13, 14, 8,9, 10. Arrange the data in
ascending order.
8, 9, 10, 10, 12, 13, 14, 15, 17
The mode is 10.

16. Cont…
2. Find the mode of the data 82, 88, 81, 89, 77,
95, 89, 90, 81, 75. Arrange the data in
ascending order.
75, 77, 81, 81, 82, 88, 89, 89, 90, 95
The mode are 81 and 89, since we have two
modes we call it Bimodal

17. YOU CAN DO IT!
Find the mean, median, and mode of the
following data.
1. The ages of the dancers are 15, 20, 14,
16, 13, and 12.
2. The number of books of 5 students 18,
5, 18, 12, 2.
3. Number of cell phone of students 1, 2,
1, 2, and 4.

18. Cont…
Answers
1. Mean= 15, Median=14.5 , Mode= 0
2. Mean= 11, Median= 12 , Mode= 18
3. Mean= 2, Median=2, Mode=1,2

19. Let’s Help!
Let’s Help the sales manager in
deciding who he will promote
between his two top salesman
using the measures of central
tendency.

20. Month Salesman A Salesman B
January 9 10
February 11 12
March 7 12
April 7 10
May 5 11
June 39 12
July 6 12
Total # of
cars sold
84 79

21. Measure of
Central
Tendency
Salesman A Salesman B
MEAN 12 11
MEDIAN 7 12
MODE 7 12

22. FIXING SKILLS
1. Find the mean median, and mode of
the following data, 17, 12, 15, 14, 12.
Mean=14 , Median= 14 Mode=12

23. Cont…
2. Find the mean, median and mode of
the ages of the students 13, 20, 3, 16, 6,
6, 8.
Mean=12 Median= 7 Mode= 6

24. TEST YOURSELVES!
A. Answer the following.
1. Find the mean, median and mode of the
following data 21, 22, 23, 24, 25, 26, 27,
28, and 29.
2. Find the mean, median and mode of the
following data 19, 5, 12, 10, 5.

25. Cont…
B. Answer the following questions.
1. If you want to know the most favorite
subject of your class, what measure of
central tendency should you use?
2. If you want to know the middle most
value in the given set of data, what
measure of central tendency should
you use?

26. ANSWERS
A.
1. Mean = 25, Median = 25, Mode = 0
2. Mean = 10.2, Median = 10, Mode = 5
B.
1. Mode
2. Median

27. GLORY TO GOD!
“I will praise thee; for I am
fearfully and wonderfully
made: marvelous are thy
works; and that my soul
knoweth right well.”
Psalms 139:14
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