Lesson Plan in Mathematics Grade 7: Statistics (Measures of Central Tendency) By: Ian Lawrence C. Mallari, BSED 4E Mathematics I.
Objectives ath the end of he lesson 100% of the students will be able to achieve at least 85% proficiency level to: a.
Cognitive: i. Define Mean , Median and Mode ii. Compute the Mean iii. Identify the Median and the Mode
b. Affective i. Interact with others thru team work. ii. Present their work on the board. c.
Psycomotor i. Construct a presentation for the me an, median and mode ii. Follow the process in identifying the mean median and mode. Values: Honesty, Cooperation, Patience and Optimism
II.
Subject Matter: Central Tendency of ungrouped data (Mean, Median and Mode ) a.
Topic: Mean, Median and Mode of ungrouped data.
b. Reference: Advance Alegebra, Trigonometry and S tatistics Text Book MATHEMATICS. Fourth year, Soledad Jose-Dila Ed.d et al. DEPED, Module of k -12 s. 2016 c.
Materials: Cartolina (4 pics 1 word), Colored Chalks and Colored Cartolinas
Concept a.
Mean: The AVERAGE set of numbers.
b. Median: the MIDPOINT of a set of data. c.
Mode: the MOST frequently occuring value in a set of data
d. In statistics, a central tendency (or measure of central tendency) is a central ce ntral or typical value for a probability distribution
III.
Procedure
Teachers Activity
Student’s Activity
1. Daily Routine (Put something on the Board) GREAT MORNING CLASS!
GREAT MORNING SIR
ENERGY! 2. Prayer Will you please pray for us ms.________ 3. Checking of Attendance Attendace Officer , give me the attendance for each
Attendance officer will give each groups
group.
attendance.
(If ther is no absent, then the whole class have an insentive). 4. Checking of assignments
Assignment:
Assignment: Topic Summation 1.
A) Rhen Rhen has a baon from Friday to Monday of
x1 =
x2 =
, x3 =
, x4=
and x5=
1.
+ + +
Make a summation notation for this and evaluate it.
) ∑
2.
=
2.
One of Grade 7 Einstein student has a Grade of ___ in Math , ___ in Science ,___ in Environment, ___ in MAPEH, ___in English find the total of the students Grade and his
average. Motivation (5mins)
(4 Pics 1 Word)
(4 pics 1 Word)
Answer: Average
Mean
Group 1 will have to guess the word on the picture
Answer: Middle Group 2 will have to guess the word on the picture
Median
Answer: MANY Group 3 will have to guess the word on the picture
Mode
Very Good for Each Group ! Great Grade 7 Einstein 6. Lesson Proper (15mins) 4 pics and 1 word you answer are connected in our lesson.
Our lesson for today is about the Central Tendencies in Statistics
They are the Mean, Median and Mode. Lets start with the Mean
Mean Kayo ang Bida! The mean class is the average of all elements in
Student A. Sir, it is called Sigma
the set. Formula:
Σ
(I know class that you remember what this Symbol
Σ )
means
Student B. Sir, x is equal to Summation of x divided by N
* Call a student -Correct! What do you think this Formula Means: * Call a student -Thats Right! “Where as
Σ is the summation of all value of t he
Students bring out the pieces of Papers
elements, and N is the number of all elements in the set.” I want you all to bring out a piece of paper. And I challenge you 7 Einstein the solve this with me! Example #1 I want to Find the Average allowance o f Teacher Ian for the 1st week of Februrary Given: Monday: P75.00 Tuesday: P85.00 Wednesday: P 70.00 Thursday: P70.00 Friday: P70.00 Saturday: P120.00 Sunday: P119.00
Student C : We have 7 numbers. Sir
So class how many numbers (N) do we have? *Call a student Nice Nice ! Now I know that some of you are answering this on their paper So what is the Summation of this given. So What now are complete Given -call a student Answer:
Σ =P636 and N = 7
No applying now this in our Formula
75 + 85 + 70 + 707+ 70 + 120 + 119 609. 7 91
What now is our mean
70 + 120 +119 75 +85 + 70 + 70+ 7
609. 7 91 So our mean is P91.00.
-Call a student So our mean is P91.00
Fixing Skill
Fixing Skills
Example # 2
Example # 2
Hours spend by 7 students in using their phones and
All Students will try to solve this in their
surfing the internet.
paper.
Student
Hrs
Student
Hrs
A
2
A
2
B
3
B
3
C
4
C
4
D
2
D
2
E
3
E
3
F
4
F
4
G
2
G
2
H
4
H
4
+4 +2 +4 2 +3 +4 +2 +3 8
2 + 3 + 4 + 2 +8 3 + 4 + 2 + 4
218 3 ℎ
218 3 ℎ
Example # 3 The Grades of a College student at BPSU are 93, 95,
93 + 95 + 96 +6 96 + 98 + 92
96, 96, 98 and 92.
570 6
Find the Arithmetic Mean of his Grades. Call a student
96
Okey Now Try this on your seats
Median (Central point of the set)
Student H: Sir it is the Center of the
Base on what you see on the 4 pics one word what
elements
do you think is a median. Call a student Your observant !
Median represented by Md, is the value of the middle term when the data are arranged in ascending or decending order.
It is affected by the number of items not by the size of extreme balues.. Steps in getting the median (while the example #1 is being used) 1.
Arrange the Data in the array of ascending or descending order.
2.
Take note of the items in the middle position. If there is an odd number of items, the middle item is the median
3.
If the number is an even number, the median is taken as arithmetic mean values falling in the middle.
Note: But wait class! Do anyone here remember what is an odd number and an even number? Can anyone tell me what it is? Please raise your
Students Raise hands.
hand -call student I Very good! You are recalling your past lesson quite
Student I: Odd numbers are numbers like
good.
1 , 3 , and 5 while even numbers are numbers divisible by 2.
Continuation for example for the Median
Unarrange
Arrange
Unarrange
Arrange
75
70
75
70
85
70
85
70
70
70
70
70
70
75
70
75
70
85
70
85
120
119
120
119
119
120
119
120 Monday: P75.00 Monday: P75.00
Tuesday: P85.00
Tuesday: P85.00
Wednesday: P 70.00
Wednesday: P 70.00
Thursday: P70.00
Thursday: P70.00
Friday: P70.00
Friday: P70.00
Saturday: P120.00
Saturday: P120.00
Sunday: P119.00
Sunday: P119.00 It is odd , number 7 is an odd number so our Median
75 is the Median Sir
is? With me class! 75 For the Example #2 using example number 2 above
Arranged Student
Hrs
A
2
Arranged 2
Student
Hrs
A
2
2
B
3
2
B
3
2
C
4
2
C
4
2
D
2
2
D
2
2
E
3
3
E
3
3
F
4
4
F
4
4
G
2
4
G
2
4
H
4
4
H
4
4
What do you observe class? Anyone?
Student Raise hands!
You get it Right!
The number is even.
Class if the numbers given are in even We should 1st arrange then get the 2 middle then
Student : 2 and 3 !
divide it by 2. For this one the 2 middle are.? Call student. Good 7 Einstein. So 2 and 3 thats right No we do this: Look carefully Class.
2 +2 3 52 2.5
So our Median is 2.5
2 +2 3 52 2.5
Is there any other question class? Do you get it? Yes Sir. It is easy
It is easy isn’t it.
Fixing Skills for Median The Grades of a College student at BPSU are 93, 95, 96, 96, 98 and 92. Find the Median for this Data Answer:
Student will answer:
92 , 93, 95, 96, 96, 98
95 +2 96 191 2 95.5
GREAT! Any Question for the Median? Clarification?
95 +2 96 191 2 95.5
It is easy right
Mode (The most frequently occuring value in a given set of data.) 7 Einstein do you know that this is the most easiest to get of all the 3. This requires no calculation and just counting. You just have to analyze the data. What is the mode of our 1st example?
Student M : 70 sir is the mode of our 1st
Call a student .
example
Nice Nice What is the mode of our 2nd Example?
Student N: 2 Sir
Very Good? Arranged Student
Hrs
A
2
2
B
3
2
C
4
2
D
2
2
E
3
3
F
4
4
G
2
4
H
4
4
As you can see in our second example the mode is 2 and 4, this is distribution is called is unimodal While in number example 1 is unimodal. What do you think is the Mode of this set of Data? Call a student Class it is very easy Right! Students will Try this on they Paper
Student will Answer:
Example #3 The Grades of a College student at BPSU are 93, 95, 96, 96, 98 and 92.
Awesome
Fixing Skill Try This! What is the MODE of this given.
Mo = 96 Sir
1. The BSED 4 Math at JCP have a Grade of for their
Answers:
DEMO teaching. 98, 99, 97, 97, 97, 94, 97, 95
1.
2. Rhen has a data of what he eat for the 10 days for
98, 99, 97, 97, 97, 94, 97, 95. Unimodal
his lunch. What is the food he mostly eat for his lunch Munggo
Lumpia
Lugaw
Leeg ng Manok
Rice
Rice
Lumpia
Mcdonalds 1pc Chicken
Lumpia
Lumpia
2.
Lumpia Unimodal.
3.
No Mode
3. The average age of female beautiful, charming, generous teachers of JCP. 32, 30, 26, 29, 39, 48, 43, 21, 31, 40, 41 Awesome 7 Einstein
Generalization Will you help me for the generalization my great 7
Student P:
Einstein students.!
The mean class is the average of all elements in the set.
The mean class is the average of all elements in the
Formula:
set. Formula:
Σ
Σ
Student Q: Median represented by Md, is the value of the middle term when the data are arranged in ascending or
Median represented by Md, is the value of the
decending order.
middle term when the data are arranged in ascending or decending order. Student R: Mode: The most frequent
Mode (The most frequently occuring value in a given
occuring value in the given set of data,
set of data.)
Activity
A SMART COOL and STUDIOUS GRADE 7 EINSTEIN Student has a academic grades of :
Subject
Grades
Mean=
+92 + 96 + 93 + 795 + 98 + 93 + 98
Filipino
92
Science
96
Environmental
93
665 7 95
Science MAKABAYAN
95
Mathematics
98
T. L. E.
93
English
98
Median: Md= 92, 93, 93, 95, 96, 98, 98 Md= 92, 93, 93, 95, 96, 98, 98
What conclusion can you find using the 3 central tendecies, the mean, the median and t he mode. What can you say about this student
Mo= Grades
Frequency
92
1
93
2
95
1
96
1
98
2
Mo= 93 and 98, Multimodal
Very for those who got a perfect Score! And all of you are great! Mean Median and Mode! Values Integration A short Story about life. . . Assignment Grade 7 Einstein I want you to find the Mean Median and Mode of your grades for the 3rd grading period. Let’s find out what are the use of the 3 central tendencies in interpreting your grades . Very Good Class....
Good Bye and Thank you Sir. May the
I think all of you now know how to g et the Mean Median and Mode. Use it well. And Thank you and Good Bye Class. ^_^
blessing of the lord be with you.
