Graphical Representation of Grouped Frequency Distribution

IMPORTANT

Graphical Representation of Grouped Frequency Distribution: Overview

In this topic, we will discuss the details of histogram and its interpretation. Also, we will study the construction of a histogram. Moreover, we will explore the idea of frequency polygon along with its characteristics.

Important Questions on Graphical Representation of Grouped Frequency Distribution

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 1

Draw an ogive for the following distribution.

Class Interval	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$
Frequency	$4$	$6$	$5$	$3$	$2$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 2

Construct the histogram with the following frequency table:

Class Interval	$10 - 12$	$12 - 16$	$16 - 18$	$18 - 24$	$24 - 32$
Frequency	$10$	$16$	$2$	$36$	$2$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 3

Construct the histogram with the following frequency table:

Class Interval	$6 - 8$	$8 - 12$	$12 - 20$	$20 - 24$	$24 - 30$
Frequency	$6$	$4$	$16$	$8$	$6$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 4

Construct the histogram with the following frequency table:

Class	$2 - 4$	$4 - 8$	$8 - 10$	$10 - 12$
Frequency	$4$	$8$	$10$	$6$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 5

Construct the histogram with the following frequency table:

Class Interval	$3 - 6$	$6 - 12$	$12 - 13$	$13 - 14$	$14 - 15$
Frequency	$150$	$420$	$100$	$110$	$50$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 6

The following distribution gives the mass of $48$ objects measured to the nearest gram. Draw a histogram to illustrate the data.

Mass in (grams)	$10 - 19$	$20 - 24$	25-34	$35 - 49$	$50 - 54$
No. of objects	$6$	$4$	$12$	$18$	$8$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 7

Draw a histogram for the following table which represent the marks obtained by $100$ students in an examination:

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Number of students	$5$	$10$	$15$	$20$	$25$	$12$	$8$	$5$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 8

Construct a histogram for the following data.

Class interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Frequency	$8$	$12$	$6$	$14$	$10$	$5$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 9

Draw the histogram for the data of weekly wages of $250$ workers in a factory given in the following table.

Weekly wage	$500 - 550$	$550 - 600$	$600 - 650$	$650 - 700$	$700 - 750$	$750 - 800$
No of workers	$30$	$42$	$50$	$55$	$45$	$28$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 10

Consider the grouped frequency distribution of number of tenders received by a department from the contractors for a civil work in a course time.

Class intervals	Number of tenders
$10 - 20$	$8$
$20 - 30$	$4$
$30 - 40$	$6$
$40 - 50$	$5$
$50 - 60$	$3$
$60 - 70$	$2$

Draw a frequency polygon for the data.

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 11

The following table gives the marks obtained by the students.

Marks obtained	Number of students
$40 - 50$	$8$
$50 - 60$	$10$
$60 - 70$	$12$
$70 - 80$	$15$
$80 - 90$	$6$
$90 - 100$	$12$

Draw a frequency polygon for the data.

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 12

The following table gives the marks obtained by the students.

Marks obtained	Number of students
$40 - 50$	$5$
$50 - 60$	$12$
$60 - 70$	$15$
$70 - 80$	$20$
$80 - 90$	$6$
$90 - 100$	$10$

Draw a frequency polygon for the data.

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 13

The following table gives the marks obtained by the students.

Marks obtained	Number of students
$140 - 150$	$5$
$150 - 160$	$12$
$160 - 170$	$15$
$170 - 180$	$20$
$180 - 190$	$6$
$190 - 200$	$10$

Draw a frequency polygon for the data.

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 14

Draw the histogram for the data of students with different levels of intelligent Quotient (IQ).

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

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 15

In a city, the weekly observations made in a study on the cost of livingindex are given in the following table:

Class of living index	Number of weeks
$140 - 150$	$5$
$150 - 160$	$15$
$160 - 170$	$18$
$170 - 180$	$9$
$180 - 190$	$16$
$190 - 200$	$20$

Draw a frequency polygon for the data.

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 16

The following table gives the lifetime of $100$ lamps:

Life time(in hours)	Number of lamps
$100 - 200$	$10$
$200 - 300$	$20$
$300 - 400$	$40$
$400 - 500$	$18$
$500 - 600$	$12$

Draw a frequency polygon curve for given data.

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 17

Draw a frequency polygon for the given data without drawing histogram:

Class interval	Frequency
$130 - 140$	$9$
$140 - 150$	$13$
$150 - 160$	$15$
$160 - 170$	$18$
$170 - 180$	$6$

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 18

In a study of an unknown viral fever in a city, the following data was obtained:

Ages	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
No of patients	$15$	$20$	$25$	$35$	$10$

Draw a frequency polygon without drawing the histogram.

MEDIUM

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 19

Draw a frequency polygon for the given data without drawing histogram:

Class interval	Frequency
$20 - 30$	$10$
$30 - 40$	$12$
$40 - 50$	$20$
$50 - 60$	$15$
$60 - 70$	$5$

EASY

IMPORTANT

Mathematics>Frequency Distribution Tables and Graphs>Graphical Representation of Grouped Frequency Distribution> Q 20

The heights of $50$ girls of Class $X$ of a school are recorded as follows.

$\begin{matrix} \begin{matrix} Height (in \\ cm) \end{matrix} & 135 - 140 & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 \\ \begin{matrix} Number \\ of girls \end{matrix} & 5 & 8 & 9 & 12 & 14 & 2 \end{matrix}$

A 'more than type' ogive for the above data is

Question Image

The median is

Graphical Representation of Grouped Frequency Distribution

Graphical Representation of Grouped Frequency Distribution: Overview

Important Questions on Graphical Representation of Grouped Frequency Distribution

Learn and Prepare for any exam you want !