Draw a histogram to represent the following data. Monthly salary(in ₹ ) Number of teachers 5600 - 5700 8 5700 - 5800 4 5800 - 5900 3 5900 - 6000 5 6000 - 6100 2 6100 - 6200 3 6200 - 6300 1 6300 - 6400 2 How many teachers have a salary more than ₹ 5900 but less than ₹ 6300 ?

The given table has data which is continuous. So, we represent that using a histogram. The histogram for the given data will be as: The number of teachers having a salary more than ₹ 5900 but less than ₹ 6300 is the sum of frequencies of the intervals 5900 - 6000 , 6000 - 6100 , 6100 - 6200 and 6200 - 6300 . ∴ The number of teachers having a salary more than ₹ 5900 but less than ₹ 6300 = ( 5 + 2 + 3 + 1 ) = 11

Draw a histogram to represent the following data: Monthly salary(in ₹ ) Number of teachers 5600 - 5700 8 5700 - 5800 4 5800 - 5900 3 5900 - 6000 5 6000 - 6100 2 6100 - 6200 3 6200 - 6300 1 6300 - 6400 2 What is the class size?

The given table has data which is continuous. So, we represent that using a histogram. The histogram for the given data will be as Class size = Upper limit - Lower limit Here, the Difference of upper limit and lower limit in every interval is 100 . ∴ Class size = 100

The following data shows the number of students opting different subjects in a college. Subjects English Maths Physics Chemistry Economics Commerce Number of students 45 60 20 30 10 15 Construct a pie-chart to represent the above data.

Firstly, we will convert the number of students to the degree to represent in pie-chart. Total number of students = 45 + 60 + 20 + 30 + 10 + 15 = 180 Now, 180 students represents 360 ° . ⇒ 1 student = 360 ° 180 = 2 ° ⇒ 45 students = 2 ° × 45 = 90 ° Similarly, we can find central angles for other students also. Subjects English Maths Physics Chemistry Economics Commerce Number of students 45 60 20 30 10 15 Angle subtended at the centre 45 × 360 ° 180 = 90 ° 60 × 360 ° 180 = 120 ° 20 × 360 ° 180 = 40 ° 30 × 360 ° 180 = 60 ° 10 × 360 ° 180 = 20 ° 15 × 360 ° 180 = 30 ° The pie chart of the given data will be as:

The following is the distribution of heights ( in cm ) of 20 girls of class VIII . Heights ( in cm ) 125 - 130 130 - 135 135 - 140 140 - 145 145 - 150 150 - 155 155 - 160 Number of girls of class VIII 1 2 3 7 4 2 1 Draw a histogram as well as a bar graph of the above data.

Histograms are the graphical representation of data in continuous series. In histograms, there is no gap between bars and heights of the bars show the frequency. The histogram of given data is Bar graphs are the graphical representation of the data in discrete form. There is an equal gap between two consecutive bars. The bar graph of given data is as below

The following is the distribution of heights ( in cm ) of 20 girls of class VIII . Heights ( in cm ) 125 - 130 130 - 135 135 - 140 140 - 145 145 - 150 150 - 155 155 - 160 Number of girls of class VIII 1 2 3 7 4 2 1 What information is being given by the data?

The following is the distribution of heights ( in cm ) of 20 girls of class VIII . Heights ( in cm ) 125 - 130 130 - 135 135 - 140 140 - 145 145 - 150 150 - 155 155 - 160 Number of girls in class VIII 1 2 3 7 4 2 1 Here, the given data depicts the heights ( in cm ) of the girls of class VIII . The data is given in the continuous form. Therefore, graphically it can be represented by a histogram.

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8th CBSE

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Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.

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Important Questions on Data Handling

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 5

Draw a histogram to represent the following data.

Monthly salary(in $₹$ )	Number of teachers
$5600 - 5700$	$8$
$5700 - 5800$	$4$
$5800 - 5900$	$3$
$5900 - 6000$	$5$
$6000 - 6100$	$2$
$6100 - 6200$	$3$
$6200 - 6300$	$1$
$6300 - 6400$	$2$

How many teachers have a salary more than $₹ 5900$ but less than $₹ 6300$ ?

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 5

Draw a histogram to represent the following data:

Monthly salary(in $₹$ )	Number of teachers
$5600 - 5700$	$8$
$5700 - 5800$	$4$
$5800 - 5900$	$3$
$5900 - 6000$	$5$
$6000 - 6100$	$2$
$6100 - 6200$	$3$
$6200 - 6300$	$1$
$6300 - 6400$	$2$

What is the class size?

HARD

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 5

The following data shows the number of students opting different subjects in a college.

Subjects	English	Maths	Physics	Chemistry	Economics	Commerce
Number of students	$45$	$60$	$20$	$30$	$10$	$15$

Construct a pie-chart to represent the above data.

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 5

Cards marked with numbers $2$ to $101$ are placed in a box and mixed thoroughly. One card is drawn from this box. If the simplest form of the probability that the number on the card is an even number is $\frac{1}{x}$ , then find the value of $1 + x$ .

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 5

Cards marked with numbers $2$ to $101$ are placed in a box and mixed thoroughly. One card is drawn from this box. If the simplest form of the probability that the number on the card is a number less than $14$ is $\frac{a}{b}$ (in the simplest form) , then find the value of $a + b$ .

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 5

Cards marked with numbers $2$ to $101$ are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is a prime number less than $20$ .

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 6

The following is the distribution of heights

(

cm

)

20

girls of class

VIII

Heights $($ in $cm$ $)$	$125 - 130$	$130 - 135$	$135 - 140$	$140 - 145$	$145 - 150$	$150 - 155$	$155 - 160$
Number of girls of class $VIII$	$1$	$2$	$3$	$7$	$4$	$2$	$1$

Draw a histogram as well as a bar graph of the above data.

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 5 - Data Handling>SUMMATIVE ASSESSMENT>Q 6

The following is the distribution of heights

(

cm

)

20

girls of class

VIII

Heights $($ in $cm$ $)$	$125 - 130$	$130 - 135$	$135 - 140$	$140 - 145$	$145 - 150$	$150 - 155$	$155 - 160$
Number of girls of class $VIII$	$1$	$2$	$3$	$7$	$4$	$2$	$1$

What information is being given by the data?

Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.

Important Questions on Data Handling

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