(628)-272-0788 info@etutorworld.com
Select Page

## What is a Histogram?

A histogram is a graphical representation of data that is organized into intervals, or bins, along with the frequency or count of observations falling into each bin.

It provides a visual summary of the distribution of a dataset, showing the patterns and characteristics of the data.

Using a histogram worksheet provides practical experience in data analysis, visualization, and interpretation. It strengthens your data literacy skills and empowers you to make better-informed decisions based on the insights derived from histograms.

Personalized Online Tutoring

## Why do you use a Histogram?

A histogram is an illustrative way to represent particular data. It is shown in vertical bar formation for a particular input against the number of continuous data given, which is said to be the frequency in each category.

A histogram is a single block graph of rectangles where the area of each rectangle will be proportional to the frequency.

## Solved Examples

### Example 1

The points scored by John in his school test were marked in 10 for subjects Math, English, Science, and French as 5, 6, 8, and 7 respectively. Represent the above data in a histogram.

Solution

### Example 2

The following histogram shows the number of singers who sang music albums in a year. Find the following:

1. Highest number of songs sung in a year.
2. The least number of songs sung.
3. Number of songs 14 singers sang.
4. How many singers sang 3-4 songs?

Your content goes here. Edit or remove this text inline or in the module Content settings. You can also style every aspect of this content in the module Design settings and even apply custom CSS to this text in the module Advanced settings.

In such a pictorial representation it is easy to identify and find out, calculate a specific detail instead of analyzing the whole data.

Solution:

1. Grey colored bar on the graph states that 6 is the highest number of songs sung.
2. Purple colored bar denotes 1 is the least number of songs sung.
3. 5-6 songs were sung by 14 singers.
4. 11 singers sang 3-4 songs.

### Example 3

Following is the histogram view of data showing the list of people who order home utilities online.

Basic items sold online are furniture, kitchen appliances, mobile phones, and groceries.

• Find the product that is sold largely.
• How many people buy groceries online?

Solution

• The product which is sold largely is kitchen appliances.
• Between 0-200 people buy groceries online.

## Practice Questions

### Question 1

Use the histogram to identify how long a student spends time on gadgets on school off days.

a. How many students spend only 5-10 hours?

b. How long do 4 students spend on gadgets?

c. Number of students spending the maximum number of hours.

### Question 2

Sheila collected the details of no. of novels sold in a book fair and made a histogram of the data which showed the no. of books sold between 20-200 dollars.

a. Draw a histogram if the following is the data collected.

 No. of books (novels) Amount (in Dollars) 20 55 30 80 40 75 50 150 60 30 70 105 80 125

b. How many books were sold between \$150 and \$105?

1.

a. 3 students

b. 10 – 15 hours

c. 9 students

2. The histogram made by Sheila will look like this:

b. 20 books were sold between \$105 and \$150.

There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.

Our kid is doing much better with a higher score.

- Meg, Parent (via TrustSpot.io)

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.