# Lesson Plan

**Topics:**Frequency distribution, Limit of a sequence, Limit superior and limit inferior

**Pages:**6 (628 words)

**Published:**February 6, 2014

Subject: Mathematics

Form: Form 4 Dynamic

Number of Students: 21

Date: 3 December 2013 (Tuesday)

Time: 9.00am – 10.10am (70 minutes)

Topic: Statistics III

Subtopic: Mode and Mean of Grouped Data

Objectives: At the end of the lesson, students will be able to:- (i) Determine the modal class from the frequency table of grouped data. (ii) Calculate the midpoint of a class.

(iii) Calculate mean from the frequency table of grouped data. Key Points:

What

Modal class

Class interval with the highest frequency

Midpoint of a class

Is the mean of the class interval.

½ (lower limit + upper limit)

Mean of grouped data

Frequency table

A table that lists the items and uses tally marks to record and show the number of times they occur.

How

Determine the modal class from the frequency table of grouped data Step 1:

Determine if the class intervals are arranged in sequence: from the lowest class interval to highest class interval. Step 2:

Circle the class interval with the highest frequency.

Calculate the midpoint of a class

Step 1: For each class interval, apply the formula below:

Midpoint of a class = ½ (lower limit + upper limit)

Calculate mean from the frequency table of grouped data

Step 1:

Determine if the class intervals are arranged in sequence in the 1st column, from lowest class interval to highest class interval. Step 2:

Sum up the frequency in the 2nd column.

Step 3:

Find the midpoint of each class interval in the 3rd column by the formula: Midpoint of a class = ½ (lower limit + upper limit)

Step 4:

Multiply midpoint with frequency and write in 4th column.

Step 5:

Mean of grouped data =

Why

Through the learning of statistics, students will be able to practice Bloom’s taxonomy skill of Analyzing. Statistics is a good tool in all sectors to depict chunks of information in a friendly manner. Students will be able to identify the sizes of a group of data applying in daily basis, for instance when doing grocery shopping. 12marks in SPM Math Paper 2, Section B is on Statistics.

Prerequisite knowledge:

Class interval

The difference between the upper class limit and the lower class limit. Class interval = Upper class limit – Lower class limit

Upper limit

Highest value in a class interval.

Lower limit

Lowest value in a class interval.

Teaching Aids: Anchor charts

Character Strengths : Grit, love of learning

Reflection:

(Recommended questions to reflect on: Were the objectives achieved? What students actions caused this? What caused these students actions? What do you want to see in the next class? What actions will you take and why?)

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Lecturer’s/ Mentor’s Comments:

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Appendix: Handout #1

Mathematics Form 4 Group Practice

Name: ___________________ Date: ______________

Teacher: __________________Class: ______________

A. Determine the modal class in the following frequency tables. Class interval

Frequency

5-9

3

10-14

4

15-19

8

20-24

7

25-29

2

30-34

4

Modal class =

B. Calculate the midpoint of the following class intervals.

Class interval

Mid point

5-9

10-14

15-19

20-24

C. Calculate the mean from the following frequency tables.

Class interval

Midpoint

Frequency

Midpoint x Frequency

0-9

3

10-19

2

20-29

7

30-39

6...

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