# Lesson Notes By Weeks and Term - Junior Secondary School 2

PRESENTATION OF DATA: IN LIST, TABLE AND LINE GRAPH

SUBJECT: MATHEMATICS

CLASS:  JSS 2

DATE:

TERM: 3rd TERM

REFERENCE

• WABP ESSENTIAL MATHEMATICS FOR JSS BK 2 BY A.J.S. OLUWASANMI
• NEW GENERAL MATHEMATICS BY J.B. CHANNON & ETAL

WEEK SIX

TOPIC: PRESENTATION OF DATA: IN LIST, TABLE AND LINE GRAPH

CONTENT:    i. Rank order list

1. Frequency table

iii. The line graph

RANK ORDER LIST

Raw data: Data which is in random order (i.e.) arranged in any kind of order is called raw data. One way to present or organize the data in a more meaningful way is to arrange it in rank order or sorting it into categories. Rank order means in order from highest to lowest. Note:Data should be presented clearly. Good presentation makes statistical data easy to read and understand.

Example: B,C,A,B,A,D,E,C,A,B,B,E,B. this 15 grade are given rank order below:

A,A,AB,B,B,B,C,C,C,D,E,E,F.

1. New general mathematics for JSS 1 by JB Channon and other page 125
2. Essential mathematics for JSS 1 by AJS Oluwasanmi page 183

FREQUENCY TABLE

Raw can also be arranged in a table called the frequency table as shown in the diagram below. The number of times each particular value occurs is called its frequency. The frequency table is usually made up of three columns.

1. The first column contains each item (or each of the events) given in the raw data and they are usually arranged in order of magnitude starting with the smallest.
2. The second column contains the tally charts which represent the number of times a particular item or events takes place.
3. The third column is called the frequency column. To find the frequency of each items, simply add or count the tally marks in each row. To find the total frequency must be equal to the following raw data shows the number of vehicle owned by 25 business men in Lagos.

Example: 2, 5, 4, 6,3, 4, 7, 5, 7, 7, 8, 9, 5, 3,4, 4, 8, 2, 2, 2, 5

 Vehicles Tally Frequency 2 III 3 3 III 3 4 IIII 5 5 IIII 4 6 I 1 7 IIII 4 8 II 2 9 I 1 TOTAL 25

Evaluation

The following figures show the number of children performing in a sample of 40 households.

1, 2, 4, 3, 5, 8, 3, 2, 2, 3, 4, 5, 6, 5, 4, 2, 1, 3, 2, 4, 5, 3, 8, 7, 6, 3, 8, 6, 3, 5, 7, 5, 4, 3

1. Use a tally mark to prepare a frequency table for this data.
2. What is the highest frequency to numbers of children per family?

Essential mathematics by AJS Oluwasanmipage 184 – 185

THE LINE GRAPH

A line Graph is a bar-chart with bar replaced by straight lines which represent the frequency of each item.

Example: The scores of 30 students in mathematics test are shown below

8, 6, 2, 0, 0, 2, 4, 1, 0, 6

4, 2, 8, 8, 1, 0, 0, 2, 4, 2

2, 8, 6, 4, 1, 0, 0, 6, 2, 4

Use the frequency table to construct a line-graph solution

 Vehicles Tally Frequency 0 IIII II 7 1 III 3 2 IIII II 7 4 IIII 5 6 IIII 4 6 IIII 4

Line-Graph for students mathematics test scores.

10

9

8

7

6

5

4

3

2

1

0        2        4        6        8        10

GENERAL EVALUATION QUESTION

Twenty four pupils went out to pick some pears. The number of pears picked by each pupil was recorded as follows:

6, 4, 3, 2, 3, 4, 1, 3, 5, 1, 6, 2,

2, 3, 2, 2, 3, 5, 2, 4, 3, 3, 1, 6

1. Prepare a tally sheet and frequency table for the data
2. Construct a line-graph for the distribution
3. Which is the least number of pears picked?

REVISION QUESTION

The shoe sizes of 20 boys are as follows:

8, 10, 9, 10, 11, 9, 8, 9, 12, 9

10, 9, 9, 8, 8, 9, 10, 19, 9, 11

1. Prepare a tally sheet and frequency table for the data
2. Which shoe size is the most common among the boys?
3. How many boys wear size 10 and above?

Essential Mathematics for JSS 2 chapter 23,pages 295 – 298

Exercise 23.2 No 7 pages 301

WEEKEND ASSIGNMENT

1. What number is represented by the tally marks shown below?

IIII        IIII        IIII        III

1. 18 B. 23 C. 13    D. 43

The table below shows the marks obtained by students in a physics test.

 Mark 5 6 7 8 9 10 Tally II II IIII I IIII   III III IIII

1. How many students did the test?     A. 35     B. 34     C. 30     D. 25
2. What mark did most students get?    A. 5      B. 9     C. 8      D. 7
3. If 8 is the pass mark, what fraction of the students failed the test?     A. 35     B. 225      C. 135      D. 15
4. The most frequency used value occurring in a set of data is known as   A. median    B. mean   C. average    D. mode

THEORY

1. The scores of some students in mathematics test were as follows: 1, 0, 7, 7, 8, 6, 1, 0, 8, 8, 9, 6, 5, 9, 9, 8, 8, 5, 5, 1, 0, 9, 9, 8, 9, 7, 5, 9, 7, 1, 0, 8, 6, 7, 7, 8, 1, 0
1. Form a frequency table distribution
2. How many students wrote the test?
3. How many students scored less than seven?
4. Which score occurred most often
1. The following are the number of goals during inter-house football competition in a certain school.

5 0 4 2 5 1 3

2 4 0 0 3 0 2

1 2 3 3 4 0 5

Draw line graph for the data.