measure of central tendency of ungrouped data final demo.pdf

this is an powerpoint presentation of grade 7 fourth quarter module 4

1. prayer

3. energizer
learn do , unlearn
learn do, rest
learn do, unlearn
and then repeat the
process

4. measures of central
tendedncy of
ungrouped data
prepared by: Evelyn G. Colao

5. At the end of the lesson, the students will be
able to:
a. define and identify mean, median and mode ;
b.find the mean, median, and mode of
ungrouped data.
c.show willingness to cooperate in performing
the assigned tasks.
d. Appreciate working with group.
inteded learning outcomes;

6. 1. Check under your chairs, if you see “PEN” under
your chair that means you are one of the lucky 7.
And if it is “PENCIL” then better luck next time.
2. If you got a “BALLPEN”please proceed in front.
3.The seven representatives will only be given 30
seconds to arrange themselves. While the
students who got a “PEN” will help these 7
representatives.
“Arrange Yourselves".
engage

7. Arrange yourselves according to your age, from least to
greatest.(30 seconds)
Question:
a) What age appear the most among the group of
students?
b) If we are going to get the average data of your ages
by adding all your ages divided by the number of
students, what will be its mean?
c) What is the middle value or the MEDIAN of the data?

8. Using this magic box, I want you to pick one
item which will identify your group mates. So
there are only three (3) choices, that means
there are only three groups.
for those who picked peace (A) sign stay on
the right side, for those who picked thumbs
up sign (C) stay on the middle and for those
who picked an okay (B) sign, sit on the left
side.
I will give you 2 minutes to decide for your
group leaders
explore
instruction:

9. It's Glow Time! Play an arcade game to earn
tickets and points. Look at the data. Have
fun and practice finding the mean, median,
mode, and range.
https://www.abcya.com/games/mean-
median-mode-range
explore
let us play a game called “ it’s a glow TIME

10. EXPLAIN
Measures of central
tendency is any measure
indicating the center of a
set data. The mean,
median and mode are the
three kinds of averages.

11. mean
The mean (also
known as the
arithmetic
mean/average) is
the most
commonly used
measure of central
position.
X̅ (read as “X- bar”).

12. mean example
In a survey of 10
households, the
number of children
was found to be 4, 5, 5,
4, 3, 6, 2, 6, 4, 1.
Calculate the mean
number of children
per household.
SOLUTION

13. MEDIAN
The median is the middle
value in a set of data. It
is symbolized as (??????̃ )
(read as “X – tilde”).
To find a median,
arranged the scores
either in increasing or
decreasing order and
then find the middle
score.
EXAMPLE
Find the median of the
following set of
numbers.
8, 14, 8, 45, 1, 31, 16, 40,
12, 30, 42, 30, 24

14. SOLUTION OF MEDIAN
EXAMPLE 2
Solution:
Arrange the numbers from
least to greatest or greatest
to least. In case of an odd
number of terms, find the
middle term.
1 8 8 12 14 16 24 30 30 31 40 42 45
N = 13
We can see from the
arranged numbers that the
middle value is 24.
Since the middle value is the
median, then the median is 24.
In a basketball game
between ABC High School
and XYZ High School, the
ABC players’ individual
points were 3, 13, 7, 5, 21, 23,
14, 11, 23 and 8. Calculate
the median of the following
scores.

15. Arrange the numbers from
least to greatest or greatest to
least.
3 5 7 8 11 13 14 21 23 23
N= 10
SOLUTION2 OF MEDIAN
EXAMPLE 3 TRY IT
The following are the
ages of students in a
vocational class: 32, 43,
39, 28, 42, 31. Find the
median age of the
students.

16. The mode is the measure
or value which occurs
most frequently in a set
of data. It is the value
with the greatest
frequency.
It is symbolized as (??????̂ )
(read as “X–hat”).
MODE
To find the mode for a
set of data:
1. select the measure that
appears most often in the set;
2. if two or more measures
appear the same number of
times, then each of these values
is a mode; and
3. if every measure appears the
same number of times, then the
set of data has no mode.

17. Find the mode in the
given sets of scores.
a. { 5, 3, 6, 4, 7, 5, 8, 9, 5}
b. { 23, 21, 16, 22, 19, 24}
c. {18, 20, 16, 18, 15, 19, 17, 20}
MODE example 1
a. { 5, 3, 6, 4, 7, 5, 8, 9, 5}
5 3 6 4 7 5 8 9 5
Since 5 is the most repeated
number in the set of data, then 5
is the mode.
b. { 23, 21, 16, 22, 19, 24}
Since every number appears the
same number of times, then the
set has no mode.
SOLITION

18. “1, 2, 3 GO”
elaborate
Using the same group, we are going to play
wherein different questions will be presented
and you are going to answer these questions with
limited time only. Once the time starts, you need
to answer the questions continuously until the
whole set of questions end.
link:
https://wordwall.net/resource/72406537/elabora
te-your-minds

19. Direction:
Find the mean, median and mode of the
following data given below. Show your
solution. (Activity Sheet)
1. 35, 54, 58, 61, 40, 38, 29, 34, 37, 22, 15, 38
2. 26, 32, 12, 18, 11, 18, 21, 12, 27, 20, 19
3. 4, 4, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 10, 11, 12, 12,
13, 14, 15, 15
evaluate

20. 4. You decide to take an 11-day vacation to
Seoul, South Korea. Since you are interested in
weather, you decide to keep track of the high
temperature each day while you are there. At
the end of the trip, you look at your data. Find
the mean, median and mode of the following
set of data.
89, 85, 87, 80, 88, 86, 85, 89, 80, 83, 84, 86, 81, 85
evaluate

21. Find the mean, median and mode of the
ungrouped data. (PowerPoint)
The data below shows the score of a student in
the Monthly Examination. Analyse the given
data and answer the question below.
92, 98, 97, 90, 98, 96, 95, 99, 90, 93, 94, 96, 91,
95
1. What scores appears to be the median?
2. Which scores frequently appear?
3. Calculate the mean, median and mode.
Assignment

22. concluding activity

23. Thank you class for
your active
participation