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

## 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.

## 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 |
\(1500\) \(2000\) \(1000\) \(800\) |