In the verge of coronavirus pandemic, we are providing FREE access to our entire Online Curriculum to ensure Learning Doesn't STOP!

Ex.5.1 Q1 Data Handling Solutions - NCERT Maths Class 8

Go back to  'Ex.5.1'

Question

For which of these would you use a histogram to show the data:

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in athletics meet.

(c) The number of cassettes produced by \(5\) companies.

(d) The number of passengers boarding trains from \(7.00\) a.m. to \(7.00\) p.m. at a station.

Give reason for each.

 Video Solution
Data Handling
Ex 5.1 | Question 1

Text Solution

What is known?

\(4\) different conditions.

What is unknown?

The statement that will use histogram to show the data.

Reasoning:

Histogram is a graphical representation of data, if data represented in a manner of class- interval.

Steps:

Since, Histogram is a graphical representation of data, the data is represented in manner of class- interval.

In case (i), The number of areas cannot be represented in class interval. So, we cannot use the histogram to show the data.

In case (ii), Height of competitors can be divided into intervals. So, we can use histogram here.

For example,

Height in (cm)

No. of competitors

\(150-160\)

\(160-170\)

\(170-180\)

\(180-190\)

\(10\)

\(12\)

\(5\)

\(2\)

In case (iii), Companies cannot be divided into intervals. So, we cannot use histogram here.

In case (iv), Time for boarding the train can be divided into intervals. So, we can use histogram here.

For example,

Time in hours

No. of passengers

\(7\) am – \(10\) am

\(10\) am – \(1\) pm

\(1\) pm – \(4\) pm

\(4\) pm – \(7\) pm

\(1500\)

\(2000\)

\(1000\)

\(800\)

  
Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school