# Lesson Plan 16

```Lesson Plan- 16
A. Identification of Data:
1. Name of School :
2. Class : X
3. No. of students :
4. Duration :
5. Average age of students :
6.
7.
8.
9.
10.
Subject : Mathematics
Topic: STATISTICS
Sub-topic: Mode of Grouped Data
Name of Teacher:
Date:
B. General Objectives :
1. To represent central value of a set of observations.
2. To analyze to infer some useful information from it.
3. To describe the importance of the mode in real life situations.
C. Special Objectives: At the end of the lesson students will enable :
1. To compute the mode of the grouped data in order to interpret the measures of central tendency.
2. To identify the mode from a grouped data.
3. To solve correctly and independently.
D. Teaching Aids:
1. General aids: General classroom appropriates like blackboard, chalk pencil, duster, textbook,
pointer etc.
2. Specific aids: A sheet and a chart related to this topic.
E. Introduction:
St Teach Teachers Activity
Students Activity
Lear
ep ing
ning
s
Points
Outc
ome
I
Recall
Entering the classroom with a
The students will stand up and greet the
K
N
ing
smiling face, the teacher will first
teacher.
N
T
the
arrange the classroom if
O
R
formu necessary. After the proper
W
O
la for arrangement is done, The teacher
L
D
calcul will ask some questions to
Students will give the answers as
E
U
ating students in order to test their
D
C
the
previous knowledge .
G
T
mode
1. What is mode in statistics? 1. Answer: The value of the variable for E
I
for
which the frequency is maximum is
O
ungro
called mode
N
uped
data.
2. The following data shows
2. Answer: Solution :- placing the
the ages of 20 students in a
number in ascending order :class 15,15,16,17,17,17,18,18,19,20,2
15,17,18,20,22,24,21,17,16
0,21,21,22,22,22,22,22,23,24
,15,21,22,23,22,17,22,18,2
 22 → 5 times present in series
2,19, 20
 Obviously 22 years age belong to
maximum number of students.
After getting satisfactory
 Hence Mode is 22 year.
responses from the students, The
teacher will announce the topic by
saying “Today we are going to
Students will open their notebook and
write down the topic.
Data” and write the topic on the
blackboard clearly. The teacher
will ask the students to write the
topic in their notebooks and then
the teacher will observe their
activities.
F. Presentation:
Teaching Points
P
R
E
s
E
N
T
A
T
I
O
N
Demonstrate to
understand the
mode of the
grouped data .
Specific
Objective
Teachers Activity
Students
Activity
To compute the
mode of the
given data in
order to interpret
the two
measures of
central
tendency
Teacher will explain the direct method for
calculating the mode of grouped data as Mode is defined as the value of
maximum frequency. If each value
occurs only once then there is no
mode or all the values are modes.
Students
will listen
alternative
ly to what
teacher is
saying.
 The process of computing mode in
case of a grouped series or grouped
frequency distribution with the help
of formula involves the following
steps;1. Determine the modal class). The
class having the maximum
frequency is called modal class .
this is done either by inspection
or by grouping method.
2. Determine the value of mode by
applying the formula
𝑓1−𝑓𝑜
Z=l + 2𝑓 −𝑓
Xh
−𝑓
1
𝑜
U
N
D
E
R
D
E
R
S
T
A
N
D
I
N
G
2
 ILLUSTRATION (1)
The distribution wages in a factory is as
follows , calculate the mode ; -
P
R
E
s
E
N
T
A
T
I
O
N
Solution to the
problem.
To solve mode
for a grouped
data.
Solution :-By inspection the maximum
frequency is 16 hence the modal class is
(30-40) .
fO= frequency of the pre modal class (20 –
30) = 10
f1= frequency of the modal class (30 – 40) =
16
f2= frequency of the succeeding modal class
(40 – 50) = 12
h= class interval
Lower limit ,l= 30 ,Upper limit ,u = 40
Learni
ng
Outco
me
K
N
O
W
L
E
D
G
E
Students
will try to
calculate
the mode
on their
respective
sheets.
S
K
I
L
L
S
Z=30+
16 – 10
2&times;16 −10 −12
X 10 =36
Therefore mode= 36
G. Closure:
Steps
C
L
O
S
U
R
E
Teaching Activity
The teacher will summarize the topic as, today we have the
formula for calculating mode of a groped data.
The formula is given by
𝑓 −𝑓
Z=l + 1 𝑜 X h
Students Activity
Students will listen carefully to the
2𝑓1 −𝑓𝑜 −𝑓2
Then the teacher will give some home assignment for the
evaluation.
Q: Find the mode and analyse the following data.
(i)
No. of
students
Marks (Out of 15)
15 – 20
20 – 25
30 – 35
35 – 40
40 – 45
45– 50
50 - 55
1
3
6
11
8
7
4
After the bell rings, the teacher will clean the blackboard
, collect the teaching aids and leave the classroom with
smiling face.
They will note down the home
assignment and will try to answer
them.
Students will greet the teacher by
saying “Thank You!”
```