Construct a histogram for the marks obtained by 600 students in the VII class annual examinations. Marks 360 400 440 480 520 560 Number of students 100 125 140 95 80 60

Given, Marks obtained by students out of 600 Marks 360 400 440 480 520 560 Number of students 100 125 140 95 80 60 Firstly, we will draw a table with class interval. The table with class interval is shown below: Marks Number of students Class interval 360 100 340 - 380 400 125 380 - 420 440 140 420 - 460 480 95 460 - 500 520 80 500 - 540 560 60 540 - 580 Bar graphs are useful when the data are in categories such as "basketball" or "football". But when the data is continuous such as a person's height, weight or age, we use a histogram to represent such grouped data with class intervals. Histogram for the data given below, where x - axis represents marks interval and y - axis represents number of students.

Construct class intervals and frequencies for the following distribution table. Also draw the ogive curves for the same. Marks obtained Less than 5 Less than 10 Less than 15 Less than 20 Less than 25 Number of students 2 8 18 27 35

Given, Marks obtained Less than 5 Less than 10 Less than 15 Less than 20 Less than 25 Number of students 2 8 18 27 35 Marks obtained by students. Marks obtained Class intervals Cumulative Frequency (Less than) Actual Frequency Cumulative Frequency (More than) Less than 5 0 - 5 2 2 35 Less than 10 5 - 10 8 8 - 2 = 6 33 Less than 15 10 - 15 18 18 - 8 = 10 27 Less than 20 15 - 20 27 27 - 18 = 9 17 Less than 25 20 - 25 35 35 - 27 = 8 8 Less than ogive More than ogive

E M B I B E

Mathematics Class 8>Chapter 7 - Frequency Distribution Tables and Graphs>Exercise 3

Telangana Board Solutions for Chapter: Frequency Distribution Tables and Graphs, Exercise 3: Exercise 3

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Frequency Distribution Tables and Graphs, Exercise 3: Exercise 3

Attempt the free practice questions on Chapter 7: Frequency Distribution Tables and Graphs, Exercise 3: Exercise 3 with hints and solutions to strengthen your understanding. Mathematics Class 8 solutions are prepared by Experienced Embibe Experts.

Questions from Telangana Board Solutions for Chapter: Frequency Distribution Tables and Graphs, Exercise 3: Exercise 3 with Hints & Solutions

MEDIUM

8th Telangana Board

IMPORTANT

Mathematics Class 8>Chapter 7 - Frequency Distribution Tables and Graphs>Exercise 3>Q 1

The following table gives the distribution of 45 students across the different levels of Intelligent Quotient. Draw the histogram for the data.

IQ	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$	$100 - 110$	$110 - 120$	$120 - 130$
Number of students	$2$	$5$	$6$	$10$	$9$	$8$	$5$

MEDIUM

8th Telangana Board

IMPORTANT

Mathematics Class 8>Chapter 7 - Frequency Distribution Tables and Graphs>Exercise 3>Q 2

Construct a histogram for the marks obtained by $600$ students in the $VII$ class annual examinations.

Marks	$360$	$400$	$440$	$480$	$520$	$560$
Number of students	$100$	$125$	$140$	$95$	$80$	$60$

HARD

8th Telangana Board

IMPORTANT

Mathematics Class 8>Chapter 7 - Frequency Distribution Tables and Graphs>Exercise 3>Q 3

Weekly wages of $250$ workers in a factory are given in the following table. Construct the histogram and frequency polygon on the same graph for the data given.

Weekly wage	$500 - 550$	$550 - 600$	$600 - 650$	$650 - 700$	$700 - 750$	$750 - 800$
Number of workers	$30$	$42$	$50$	$55$	$45$	$28$

HARD

8th Telangana Board

IMPORTANT

Mathematics Class 8>Chapter 7 - Frequency Distribution Tables and Graphs>Exercise 3>Q 4

Ages of $60$ teachers in primary schools of a Mandal are given in the following frequency distribution table. Construct the Frequency polygon and frequency curve for the data without using the histogram. (Use separate graph sheets)