The bar graph below shows the number of rainy days in a city over a period of four months. Which month had the least number of rainy days?

The bar graph showing the number of rainy days in a city over a period of four months is shown below. We are given to identify the month that had the least number of rainy days. Here, the bar graph used is a vertical bar graph. The height or length of the vertical bars represents the number of observations or frequencies in that class or type of data and is proportional to the frequency of the class or data it represents. The greater the frequency of the class, the greater will be the length or height of the bar. In a bar graph, the bars should have equal width and the gaps between the bars should be uniform. Hence, the bar having the shortest height represents the least number of rainy days. We observe that the bar for the month of "May" has the shortest height. Therefore, the month of "May" had the least number of rainy days.

The bar graph below shows the number of rainy days in a city over a period of four months. What is the ratio of the number of rainy days in June to that in August?

The bar graph showing the number of rainy days in a city over a period of four months is shown below. We are given to find the ratio of the number of rainy days in June to that in August. Here, the bar graph used is a vertical bar graph. The height or length of the vertical bars represents the number of observations or frequencies in that class or type of data and is proportional to the frequency of the class or data it represents. The greater the frequency of the class, the greater will be the length or height of the bar. In a bar graph, the bars should have equal width and the gaps between the bars should be uniform. Thus, we observe that the month of "June" had 5 rainy days and the month of "August" had 10 rainy days. The ratio = 5 : 10 = 5 5 : 10 5 = 1 : 2 . Therefore, the ratio of the number of rainy days in June to that in August is 1 : 2 .

The following table shows the examination results in mathematics of class V I I I students in a particular school. Grade A B C D E Number of students 30 46 60 40 24 Represent the data using a bar graph.

Given, the examination results in mathematics of class V I I I students in a particular school. Grade A B C D E Number of students 30 46 60 40 24 Bar graphs can have horizontal or vertical bars. We shall represent the given data using a vertical bar graph. The height or length of the bar represents the number of observations or frequencies in that class or type of data and is proportional to the frequency of the class or data it represents. The greater the frequency of the class, the greater will be the length or height of the bar. In a bar graph, the bars should have equal width and the gaps between the bars should be uniform. Steps for constructing a bar graph: (i) Find the range in values. (ii) Determine a scale. (iii) Label the axes. (iv) Draw the bars. (v) Give the graph a title. Thus, the bar graph showing the data given in the table is shown below:

The histogram below shows the daily wages of some workers in a survey. Describe the distribution of the daily wages of these workers.

The histogram showing the daily wages of some workers in a survey is given below. We are given to describe the distribution of the daily wages of these workers. A histogram is the graphical representation of quantitative data. A histogram consists of rectangles whose areas are proportional to the frequencies in the classes and the width of the bars need not be the same. The bases of the rectangles are equal to the class intervals which are on the horizontal axis. There is no space between the consecutive bars. The bars are adjacent to each other. The histogram is bell-shaped if it resembles a "bell" curve and has one single peak in the middle of the distribution. Therefore, the given distribution of the daily wages of the workers is bell-shaped. the minimum wage is ₹ 700 , the maximum wage is ₹ 1050 . The maximum number of 30 workers receive wages between ₹ 850 and ₹ 900 .

HARD

8th CBSE

IMPORTANT

Earn 100

The following table shows the time taken by $50$ students to complete a mathematics assignment.

Time in minutes Frequency

$30 - 40$ $4$

$40 - 50$ $9$

$50 - 60$ $17$

$60 - 70$ $12$

$70 - 80$ $8$

Describe the shape of the histogram.

Important Questions on Data Handling and Graphs

MEDIUM

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 1

The students in a school were surveyed about snacks and asked to pick one snack food they liked the most from a list. The bar graph below summarises the data collected from this survey.

Question Image

Which snack food was most preferred by the students in the school?

MEDIUM

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 1

The students in a school were surveyed about snacks and asked to pick one snack food they liked the most from a list. The bar graph below summarises the data collected from this survey.

Question Image

How many students preferred fruit?

MEDIUM

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 1

The students in a school were surveyed about snacks and asked to pick one snack food they liked the most from a list. The bar graph below summarises the data collected from this survey.

Question Image

Which snack foods were preferred equally by the students?

MEDIUM

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 2

The bar graph below shows the number of rainy days in a city over a period of four months.

Question Image

Which month had the least number of rainy days?

MEDIUM

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 2

The bar graph below shows the number of rainy days in a city over a period of four months.

Question Image

What is the ratio of the number of rainy days in June to that in August?

HARD

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 3

The following table shows the examination results in mathematics of class $V I I I$ students in a particular school.

Grade	$A$	$B$	$C$	$D$	$E$
Number of students	$30$	$46$	$60$	$40$	$24$

Represent the data using a bar graph.

MEDIUM

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 5

The histogram below shows the daily wages of some workers in a survey.

Question Image

Find the number of workers whose daily wages are not more than $₹ 800$ .

HARD

8th CBSE

IMPORTANT

CPA Maths - A Singapore Approach>Chapter 17 - Data Handling and Graphs>EXERCISE>Q 5

The histogram below shows the daily wages of some workers in a survey.

Question Image

Describe the distribution of the daily wages of these workers.

Time in minutes	Frequency
$30 - 40$	$4$
$40 - 50$	$9$
$50 - 60$	$17$
$60 - 70$	$12$
$70 - 80$	$8$

The following table shows the time taken by 50 students to complete a mathematics assignment. Time in minutes Frequency 30-40 4 40-50 9 50-60 17 60-70 12 70-80 8 Describe the shape of the histogram.

Important Questions on Data Handling and Graphs

Learn and Prepare for any exam you want !

The following table shows the time taken by $50$ students to complete a mathematics assignment.

Time in minutes Frequency

$30 - 40$ $4$

$40 - 50$ $9$

$50 - 60$ $17$

$60 - 70$ $12$

$70 - 80$ $8$

Describe the shape of the histogram.