Draw a Histogram for the following data: Age group Number of Hypertension patients in a village 0 - 10 0 10 - 20 2 20 - 30 5 30 - 40 10 40 - 50 25 50 - 60 50 60 - above 100 Do you find some relationship between age and disease?

Given data is following below. Age group Number of Hypertension patients in a village 0 - 10 0 10 - 20 2 20 - 30 5 30 - 40 10 40 - 50 25 50 - 60 50 60 - above 100 Here we need to draw a Histogram and find some relationship between age and disease. A Histogram is a bar graph that shows data in intervals. It has adjacent bars over the intervals. There are no gaps between bars, because no gaps between the intervals Now take X - axis represents the age group and Y - axis represents number of hypertension patients in a village. From the given data, we realise that age group and disease are directly proportional.

Draw a Histogram for the following data: Age group Number of Hypertension patients in a village 0 - 10 0 10 - 20 2 20 - 30 5 30 - 40 10 40 - 50 25 50 - 60 50 60 - above 100 What age group is vulnerable to this disease?

Given data is following below. Age group Number of Hypertension patients in a village 0 - 10 0 10 - 20 2 20 - 30 5 30 - 40 10 40 - 50 25 50 - 60 50 60 - above 100 Here we need to draw a Histogram and find some relationship between age and disease. A Histogram is a bar graph that shows data in intervals. It has adjacent bars over the intervals. There are no gaps between bars, because no gaps between the intervals Now take X - axis represents the age group and Y - axis represents number of hypertension patients in a village. From the given data, we realise that age group 60 - above is vulnerable to this disease.

In a one-day cricket match of 50 overs two teams A and B made the runs as follows Number of overs 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Total Runs scored by team A 30 45 50 60 25 210 Runs scored by team B 35 40 50 45 40 210 Draw a linear graph for the two teams taking the number of overs along horizontal line X - axis and runs scored along vertical line Y - axis .

Given in a one-day cricket match of 50 overs two teams A and B made the runs as follows Number of overs 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Total Runs scored by team A 30 45 50 60 25 210 Runs scored by team B 35 40 50 45 40 210 Here we need to draw a linear graph for the two teams. Number of overs Class mark = upper class + lower class 2 Runs scored by team A Runs scored by team B 0 - 10 5 30 35 10 - 20 15 45 40 20 - 30 25 50 50 30 - 40 35 60 45 40 - 50 45 25 40 Total Runs 210 210 Now take X - axis represents the class mark (number of overs) and Y - axis represents runs scored.

In a one-day cricket match of 50 overs two teams A and B made the runs as follows. Number of overs 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Total Runs scored by team A 30 45 50 60 25 210 Runs scored by team B 35 40 50 45 40 210 Draw and compare two linear graphs and decide which team has shown better consistency than the other.

Given in a one-day cricket match of 50 overs two teams A and B made the runs as follows Number of overs 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Total Runs scored by team A 30 45 50 60 25 210 Runs scored by team B 35 40 50 45 40 210 Here we need to draw a linear graph for the two teams and compare two linear graphs and decide which team has shown better consistency than the other. Number of overs Class mark = upper class + lower class 2 Runs scored by team A Runs scored by team B 0 - 10 5 30 35 10 - 20 15 45 40 20 - 30 25 50 50 30 - 40 35 60 45 40 - 50 45 25 40 Total Runs 210 210 Now take X - axis represents the class mark (number of overs) and Y - axis represents runs scored. Thus, from the graph it is very clear that team B has shown more consistency than team A .

EASY

8th Jammu and Kashmir Board

IMPORTANT

Earn 100

The following shows the roll of boys and girls in a school. Draw a double bar graph for it.

Class $K . G$ $1^{st}$ $2^{nd}$ $3^{rd}$ $4^{th}$ $5^{th}$

Boys $35$ $30$ $30$ $22$ $25$ $30$

Girls $25$ $26$ $25$ $22$ $20$ $20$

Important Questions on Introduction to Graphs

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 3

Draw a Histogram for the following data:

Age group	Number of Hypertension patients in a village
$0 - 10$	$0$
$10 - 20$	$2$
$20 - 30$	$5$
$30 - 40$	$10$
$40 - 50$	$25$
$50 - 60$	$50$
$60 -$ above	$100$

Do you find some relationship between age and disease?

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 3

Draw a Histogram for the following data:

Age group	Number of Hypertension patients in a village
$0 - 10$	$0$
$10 - 20$	$2$
$20 - 30$	$5$
$30 - 40$	$10$
$40 - 50$	$25$
$50 - 60$	$50$
$60 -$ above	$100$

What age group is vulnerable to this disease?

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 4

In a one-day cricket match of $50$ overs two teams $A$ and $B$ made the runs as follows

Number of overs	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	Total
Runs scored by team $A$	$30$	$45$	$50$	$60$	$25$	$210$
Runs scored by team $B$	$35$	$40$	$50$	$45$	$40$	$210$

Draw a linear graph for the two teams taking the number of overs along horizontal line $X - axis$ and runs scored along vertical line $Y - axis$ .

MEDIUM

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 4

In a one-day cricket match of $50$ overs two teams $A$ and $B$ made the runs as follows.

Number of overs	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	Total
Runs scored by team $A$	$30$	$45$	$50$	$60$	$25$	$210$
Runs scored by team $B$	$35$	$40$	$50$	$45$	$40$	$210$

Draw and compare two linear graphs and decide which team has shown better consistency than the other.

HARD

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 6

The two devices namely Celsius $(° C)$ and Fahrenheit $(° F)$ thermometer were used to record the temperatures of certain things. Draw a comparison graph between the two for the following data:

$° C$	$0$	$10$	$30$	$60$	$100$
$° F$	$32$	$50$	$86$	$140$	$212$

From the graph read value in $° F$ when $° C = 95 °$

HARD

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 6

The two devices namely Celsius $(° C)$ and Fahrenheit $(° F)$ thermometer were used to record the temperatures of certain things. Draw a comparison graph between the two for the following data:

$° C$	$0$	$10$	$30$	$60$	$100$
$° F$	$32$	$50$	$86$	$140$	$212$

Does this graph pass through the origin?

HARD

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 6

The two devices namely Celsius $(° C)$ and Fahrenheit $(° F)$ thermometer were used to record the temperatures of certain things. Draw a comparison graph between the two for the following data:

$° C$	$0$	$10$	$30$	$60$	$100$
$° F$	$32$	$50$	$86$	$140$	$212$

Find $° F$ when $° C = 25 °$ .

EASY

8th Jammu and Kashmir Board

IMPORTANT

MATHEMATICS A TEXTBOOK FOR CLASS 8>Chapter 14 - Introduction to Graphs>Miscellaneous example>Q 7

A pie chart is used to compare parts of a whole.

Class	$K . G$	$1^{st}$	$2^{nd}$	$3^{rd}$	$4^{th}$	$5^{th}$
Boys	$35$	$30$	$30$	$22$	$25$	$30$
Girls	$25$	$26$	$25$	$22$	$20$	$20$

The following shows the roll of boys and girls in a school. Draw a double bar graph for it. Class K.G 1st 2nd 3rd 4th 5th Boys 35 30 30 22 25 30 Girls 25 26 25 22 20 20

Important Questions on Introduction to Graphs

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The following shows the roll of boys and girls in a school. Draw a double bar graph for it.

Class $K . G$ $1^{st}$ $2^{nd}$ $3^{rd}$ $4^{th}$ $5^{th}$

Boys $35$ $30$ $30$ $22$ $25$ $30$

Girls $25$ $26$ $25$ $22$ $20$ $20$