# Problems on Histogram

We will discuss here some of the problems on histogram.

1. The histogram for a frequency distribution is given below.

(i) What is the frequency of the class interval 15 – 20?

(ii) What is the class intervals having the greatest frequenciey?

(iii) What is the cumulative frequency of the class interval 25 – 30?

(iv) Construct a short frequency table of the distribution.

(v) Construct a cumulative frequency table of the distribution.

Solution:

(i) 25

(ii) 20 – 25

(iii) 90

(iv)

 Class Interval 10 - 1515 - 2020 - 2525 - 3030 - 3535 - 40 Frequency 20253015105

(v)

 Class Interval 10 - 1515 - 2020 - 2525 - 3030 - 3535 - 40 Frequency 20253015105 Cumulative Frequency 20457590100105

2. The histogram for a frequency distribution is as shown below.

(i) Find the class intervals having the greatest and the least frequencies.

(ii) Find the class interval whose frequency is 40.

(iii) What is the frequency of the class interval 30 – 40?

(iv) What is the cumulative frequency of the class interval 30 – 40?

(v) Construct the frequency table of the distribution.

Solution:

(i) The class interval 10 – 20 has the greatest frequency as the rectangle corresponding to the interval has the greatest area, the height being the greatest.

(ii) 20 – 30

(iii) 30

(iv) 50 + 40 + 30 = 120

(v)

Class Interval

10- 20

20 - 30

30 - 40

40 - 50

Frequency

50

40

30

40

From Problems on Histogram

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Subtracting Integers | Subtraction of Integers |Fundamental Operations

Jun 13, 24 02:51 AM

Subtracting integers is the second operations on integers, among the four fundamental operations on integers. Change the sign of the integer to be subtracted and then add.

2. ### Properties of Subtracting Integers | Subtraction of Integers |Examples

Jun 13, 24 02:28 AM

The properties of subtracting integers are explained here along with the examples. 1. The difference (subtraction) of any two integers is always an integer. Examples: (a) (+7) – (+4) = 7 - 4 = 3

3. ### Math Only Math | Learn Math Step-by-Step | Worksheet | Videos | Games

Jun 13, 24 12:11 AM

Presenting math-only-math to kids, students and children. Mathematical ideas have been explained in the simplest possible way. Here you will have plenty of math help and lots of fun while learning.

4. ### Addition of Integers | Adding Integers on a Number Line | Examples

Jun 12, 24 01:11 PM

We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4…