# 5th Class Mathematics Data Handling Bar Graph

## Bar Graph

Category : 5th Class

### Bar Graph

When the numerical information is represented on the graph using bars, it is known as bar graph. Let us understand it with the help of an example: In the following table number of cars sold by a company in different months of a year has been shown:

 Month Number of cars January 30 February 60 March 50 April 10 May 50 June 60 July 70 August 100 September 20 October 40 November 60 December 80

Let us make a bar graph using above information:

Step 1: Draw one horizontal and one vertical line.

Step 2: Choose a convenient scale and mark the numbers on the vertical line at equal interval.

Step 3: Now make bars, keeping width of the bars and distance among them uniform. Length of the bars is equal to the respective numbers

(i)    Name the student who got the highest mark

(ii)    Find the marks obtained by Amelia

(iii)   What scale has been chosen in the bar graph

Solution:

(i) Katherine got the highest mark

(ii) Amelia obtained 70 marks

(iii) 1 cm = 10 marks

• A bar graph may be either vertical or horizontal
• The bar which has highest length represents the greatest amount and the bar which has lest amount.

• The information which is in the mumeral form called data.
• The initial data that the observer collects himself is called raw data.
• When raw data is arranged in table in order to extract the information contained by it easily, is called grouped data.
• In the pictograph, data is represented with the help of pictures.
• When the numerical information is represented on the graph using bars, it is known as bar graph.

In the following pictograph, number of video games sold by a shop has been shown

 Monday Tuesday Wednesday Thursday Friday Saturday One     represents 7 video games

(The following questions are based on the above pictograph)

Which one of the following days 49 video games were sold?

(a) Monday

(b) Saturday

(c) Thursday

(d) Wednesday

(e) None of these

Explanation

In the pictograph 1   represents 7 video games And $7\times 7=49$

Thus it is Saturday when 49 video games were sold.

How many more video games were sold on Thursday than that of Friday?

(a) 7

(b) 14

(c) 21

(d) 28

(e) None of these

Which one of the following day's minimum number of video games was sold?

(a) Wednesday

(b) Monday

(c) Saturday

(d) Thursday

(e) None of these

How many video games were sold on Monday?

(a) 7

(b) 14

(c) 21

(d) 28

(e) None of these

How many video games were sold during first four days of the week?

(a) 120

(b) 140

(c) 160

(d)180

(e) None of these

How many video games was sold on Friday?

(a) 7

(b) 28

(c) 42

(d) 35

(e) None of these

In the following bar graph temperature on different days of a week has been shown.

Read the above graph and answer the following questions: Which one of the following days had highest temperature?

(a) Monday

(b) Tuesday

(c) Wednesday

(d) Thursday

(e) None of these

By how much temperature reduced on Friday in comparison of Thursday?

(a)${{3}^{o}}C$

(b) ${{6}^{o}}C$

(c) ${{9}^{o}}C$

(d) ${{12}^{o}}C$

(e) None of these

Which one of the following scale has been chosen in the bar graph?

(a)$1cm\text{ }={{3}^{o}}C$

(b) $1cm\text{ }={{6}^{o}}C$

(c)$1cm\text{ }={{9}^{o}}C$

(d) $1cm\text{ }={{12}^{o}}C$

(e) None of these

If the temperature on Monday was ${{15}^{o}}C$ by what cm length of the bar of Monday would had been increased?

(a) 1cm

(b) 2cm

(c) 3cm

(d) 4cm

(e) None of these

Which one of the following days was the coldest day of the week?

(a) Sunday

(b) Monday

(c) Thursday

(d) Tuesday

(e) None of these