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#### Why do you use a histogram?

Histogram is an illustrative way to represent a particular data. It is shown in vertical bar formation for a particular input and with respect to 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.

Example 1: The points scored by John in his school test was marked in 10 for subjects Math, English, Science, French as 5, 6, 8, 7 respectively. Represent the above data in a histogram.

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. Least number of songs sung.
3. of songs 14 singers sang.
4. How many singers sang 3-4 songs?

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 least number of song 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 a 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.

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 does 4 students spend on gadgets?

c.Number of students spending maximum number of hours.

1. 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 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. 3 students
2. 10 – 15 hours
3. 9 students
1. Histogram made by Sheila will look like:

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

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