This document discusses data handling concepts such as range, mean, median, and mode. It provides examples to calculate each measure. The range of election votes is 9-2=7. The mean vote is 5.25. The median vote is 5. The mode is 9 as Miruna received the most votes. A second example calculates the measures for quiz scores: range is 6, mean is 7.14, median is 7, and mode is 10 as it occurred twice.

1. DATA HANDLING
M.R. Santos

2. Bar Graph
4
6
9
2
0 1 2 3 4 5 6 7 8 9 10
TALA
ZAINAB
MIRUNA
HANAA
No. of Votes
Tala Zainab Miruna Hanaa

3. Election Result
Name of Student No. of Votes
Tala IIII ( 4 )
Zainab IIII – I ( 6 )
Miruna IIII – IIII ( 9 )
Hanaa II ( 2 )

4. Range
The range is the distance between
the highest and the lowest
observation.
R = Highest value – lowest value

5. 4
6
9
2
0 2 4 6 8 10
TALA
ZAINAB
MIRUNA
HANAA
No. of Votes
Tala Zainab Miruna Hanaa
Name of Student No. of Votes
Tala 4
Zainab 6
Miruna 9
Hanaa 2
RANGE = 9 – 2
RANGE = 7
Range

6. Mean
The mean is otherwise known as
the average.
𝑋 =
𝑋
𝑛

7. Name of Student No. of Votes
Tala 4
Zainab 6
Miruna 9
Hanaa 2
𝑋 =
𝑋
𝑛
𝑋 =
4 + 6 + 9 + 2
4
𝑋 = 5.25
Mean

8. Median
The median is the middle
observation. It divides the
distribution into 2 equal
parts.

9. Name of Student No. of Votes
Tala 4
Zainab 6
Miruna 9
Hanaa 2
1. To get the median, arrange
the data or observations
according to magnitude.
4, 6, 9, 2 2, 4, 6, 9
Median

10. Median
2. Identify the middlemost value. If
there are 2 middle values, get its
average.
2, 4, 6, 9 Median = ( 4 + 6 ) / 2
= 5

11. Mode
The mode refers to the most
number of frequency or
occurrence.

12. Since Miruna got the highest
number of votes, her number of
votes which is 9, is the mode of
the distribution.
Mode

13. Example # 2
5A was given a quiz and the following
are the scores of 7 students:
10, 4, 7, 8, 10, 6, 5.
What is the range, mean, median
and mode of the scores?

14. Range
Range = Highest score – lowest score
Range = 10 – 4
Range = 6

15. Mean
10 + 4 + 7 + 8 + 10 + 6 + 5
Mean = ________________________
7
Mean = 50 ÷ 7
Mean = 7.14
The average score of the students is 7.14

16. Median
10, 4, 7, 8, 10, 6, 5 4, 5, 6, 7, 8, 10, 10
Since median is the middle value, therefore
Median = 7
This means 3 of the students got scores below 7
while the other 3 got scores above 7.

17. Mode
10, 4, 7, 8, 10, 6, 5
Since 10 is repeated twice, therefore
Mode = 10.
This means the score the was repeated
the most number of times is 10.