The following table shows the amount of rice grown by a farmer in different years: Years 2000 2001 2002 2003 2004 2005 2006 Rice grown(in quintals) 200 180 240 260 250 200 270 Plot a graph to illustrate this information.

We know that the year is an independent variable and quantity of rice grown is a dependent variable. So let us take years on the X - axis and quantity of rice grown on the Y - axis. By converting the given data into points, we get ( 2000 , 200 ) , ( 2001 , 180 ) , ( 2002 , 240 ) , ( 2003 , 260 ) , ( 2004 , 250 ) , ( 2005 , 200 ) , ( 2006 , 270 ) . By choosing the following scale: On X - axis: 2 cm = 1 year. On Y - axis: 1 cm = 50 quintals. Now, let us plot the points. These points are joined to get the graph and it is representing the given information as shown in the figure below.

Following table represents number of students in a class and their respective average age: No. of students 30 40 45 50 35 60 Average age 20 18 24 16 25 15 Show the above information in graph.

Given: No. of students 30 40 45 50 35 60 Average age 20 18 24 16 25 15 From the above information, we can get the points A ( 30 , 20 ) , B ( 40 , 18 ) , C ( 45 , 24 ) , D ( 50 , 16 ) , E ( 35 , 25 ) , F ( 60 , 15 ) Here, to represent in graph, take a proper scale and plot. Scale: x - axis represents the number of students. y - axis represents the average age of the students. x - axis = 1 unit = 10 students y - axis = 1 unit = 4 (average age) Thus, the required graph is as given below.

The following chart gives the growth in height in terms of percentage of full height of boys and girls with their respective ages. Study the table and draw the line graph of the data given below. Age (in Year) 8 9 10 11 12 13 14 15 16 17 18 Boys 72 % 75 % 78 % 81 % 84 % 88 % 92 % 95 % 98 % 99 % 100 % Girls 77 % 81 % 84 % 88 % 91 % 95 % 98 % 99 % 99 . 5 % 100 % 100 % Now, use the graph to answer the following question: Who grows faster at puberty ( 14 years to 16 years of age)

Plot age in years along X - axis and the percentage of height of boys and girls with their respective ages along Y - axis , we get the following graph From the graph we can conclude that, girls grows faster than boys at puberty.

The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years: Years: 2002 2003 2004 2005 2006 Number of patients: 150 170 195 225 230 Represent the information by a graph.

Here we know that the year is an independent variable and the number of patients is a dependent variable. So let us take years on the X -axis and the number of patients on the Y -axis. By converting data into points, we get ( 2002 , 150 ) , ( 2003 , 170 ) , ( 2004 , 195 ) , ( 2005 , 225 ) , ( 2006 , 230 ) . Let us choose the following scale: On X -axis: 2 cm = 1 year. On Y -axis: 1 cm = 50 patients. Now, let us plot the points. These points are joined to get the graph. It is representing the given information as shown in the figure below.

The following table shows the monthly tourist arrivals from January to June: Months January February March April May June Number of Tourists 250 400 350 500 150 200 Draw a histogram from the above table and find the difference between the highest arrival and the lowest arrival of tourists from January to June.

The following table shows the monthly tourist arrivals from January to June: Months January February March April May June Number of Tourists 250 400 350 500 150 200 The least number of tourists visited in a particular month is 150 and the most number of tourists visited in a particular month is 500 . The months are represented along the x -axis and number of tourists are represented along y -axis on a suitable scale. Taking months as bases and number of tourists are heights, rectangles can be drawn to obtain the histogram of the given frequency table. The required histogram is shown below. The difference between the highest arrival and the lowest arrival of tourists from January to June is, = Highest arrival - Lowest arrival = 500 - 150 = 350 Hence, 350 is the difference between the highest arrival and the lowest arrival of tourists from January to June.

The sales of a shopkeeper for eight days of a month in any year is given below: Date 1 2 3 4 5 6 7 8 Sales(in ₹ ) 3300 3390 3450 3490 3370 3470 3590 4000 Draw the line graph depicting the above data.

According to the given data, The sales of a shopkeeper for eight days of a month in any year is given below. Date 1 2 3 4 5 6 7 8 Sales(in ₹ ) 3300 3390 3450 3490 3370 3470 3590 4000 Steps of construction Draw x -axis and y -axis. Label the x -axis with dates and y -axis with sales. The least value of sales(in ₹ ) is 3300 and the highest value of sales(in ₹ ) is 4000 . So, we need not start from zero on the y -axis. Rather, we can make equal divisions of ₹ 100 starting from 3300 . Thus, each division of y -axis represents ₹ 100 . This gives the scale of the graph. On x -axis, draw unit divisions starting from origin. Start plotting the points ( 1 , 3300 ) , ( 2 , 3390 ) , ( 3 , 3450 ) , . . . Once all the points are plotted, join the points using a scale. After following the above steps, below is the line graph obtained.

The following table shows the percentage of students who dropped out of school after completing high school Year 2005 2007 2009 2011 2013 2015 2017 Percentage of students who dropped out of school 6 % 5 . 5 % 5 % 4 . 7 % 4 . 9 % 4 % 4 . 5 % Study the above table carefully and draw a line graph to depict it.

Plot the percentage of students who dropped out of school on X - axis and years on Y - axis , we get the following graph Hence, the above mentioned graph is obtained for the given table.

The following chart gives the growth in height in terms of percentage of full height of boys and girls with their respective ages. Study the table and draw the line graph of the data given below. Age (in Year) 8 9 10 11 12 13 14 15 16 17 18 Boys 72 % 75 % 78 % 81 % 84 % 88 % 92 % 95 % 98 % 99 % 100 % Girls 77 % 81 % 84 % 88 % 91 % 95 % 98 % 99 % 99 . 5 % 100 % 100 % Now, use the graph to answer the following question: In which year both boys and the girls achieve their maximum height?

Plot age in years along X - axis and the percentage of height of boys and girls with their respective ages along Y - axis , we get the following graph From the graph we can conclude that both boys and girls achieve their maximum height in 18 th year.

The following table shows the monthly tourist arrivals from January to June. Months January February March April May June Number of Tourists 250 400 350 500 150 200 Draw a histogram from the above table and find the total number of tourists in six months.

The following table shows the monthly tourist arrivals from January to June. Months January February March April May June Number of Tourists 250 400 350 500 150 200 The least number of tourists visited is 150 and the highest number of tourists visited is 500 . The months are represented along the x -axis and number of tourists are represented along y -axis on a suitable scale. Taking months as bases and number of tourists are heights, rectangles can be drawn to obtain the histogram of the given frequency table. The histogram is shown below. The total number of tourists visited = Total sum of the tourists visited from January to June = 250 + 400 + 350 + 500 + 150 + 200 = 1850 Hence, 1850 tourists visited from January to June.

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Important Questions on Measurement and Experimentation

EASY

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Define a slope of a straight line.

MEDIUM

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The following table shows the amount of rice grown by a farmer in different years:

Years	$2000$	$2001$	$2002$	$2003$	$2004$	$2005$	$2006$
Rice grown(in quintals)	$200$	$180$	$240$	$260$	$250$	$200$	$270$

Plot a graph to illustrate this information.

EASY

Science>Physics>Measurement and Experimentation>Experimentation

If you are drawing a graph between the distance travelled with time taken by a car to travel between five cities. The cities are

300 km, 450 km, 500 km, 600 km, 150 km

. Which of the following would be the most suitable scale to draw this graph?

HARD

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Make a graph by taking the pattern numbers on the horizontal axis and number of toothpicks on the vertical axis. Make the horizontal axis from $0$ to $10$ and vertical axis from $0$ to $30$ .

Patterns	$1$	$2$	$3$	$4$	$5$	$6$
Toothpicks	$4$	$7$	$10$	$13$	$16$	$19$

MEDIUM

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Following table represents number of students in a class and their respective average age:

No. of students	$30$	$40$	$45$	$50$	$35$	$60$
Average age	$20$	$18$	$24$	$16$	$25$	$15$

Show the above information in graph.

MEDIUM

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The following chart gives the growth in height in terms of percentage of full height of boys and girls with their respective ages.

Study the table and draw the line graph of the data given below.

Age (in Year)	$8$	$9$	$10$	$11$	$12$	$13$	$14$	$15$	$16$	$17$	$18$
Boys	$72 %$	$75 %$	$78 %$	$81 %$	$84 %$	$88 %$	$92 %$	$95 %$	$98 %$	$99 %$	$100 %$
Girls	$77 %$	$81 %$	$84 %$	$88 %$	$91 %$	$95 %$	$98 %$	$99 %$	$99.5 %$	$100 %$	$100 %$

Now, use the graph to answer the following question:

Who grows faster at puberty ( $14$ years to $16$ years of age)

EASY

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How do you find the slope of a straight line?

MEDIUM

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A student measures the length of a piece of a pencil by meter ruler, vernier calipers and screw gauge. Here, the _____ is the device with the highest accuracy and precision.

MEDIUM

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The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:

Years:	$2002$	$2003$	$2004$	$2005$	$2006$
Number of patients:	$150$	$170$	$195$	$225$	$230$

Represent the information by a graph.

EASY

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If the data in the table given to you is about the number of people in different nations, the classification is known as :

MEDIUM

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The following table shows the monthly tourist arrivals from January to June:

Months	January	February	March	April	May	June
Number of Tourists	$250$	$400$	$350$	$500$	$150$	$200$

Draw a histogram from the above table and find the difference between the highest arrival and the lowest arrival of tourists from January to June.

MEDIUM

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The sales of a shopkeeper for eight days of a month in any year is given below:

Date	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
Sales(in $₹$ )	$3300$	$3390$	$3450$	$3490$	$3370$	$3470$	$3590$	$4000$

Draw the line graph depicting the above data.

MEDIUM

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The following table shows the percentage of students who dropped out of school after completing high school

Year	$2005$	$2007$	$2009$	$2011$	$2013$	$2015$	$2017$
Percentage of students who dropped out of school	$6 %$	$5.5 %$	$5 %$	$4.7 %$	$4.9 %$	$4 %$	$4.5 %$

Study the above table carefully and draw a line graph to depict it.

EASY

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Name different types of graphs?

EASY

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What is the slope of the straight line in the given graph?
Question Image

MEDIUM

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The following chart gives the growth in height in terms of percentage of full height of boys and girls with their respective ages.

Study the table and draw the line graph of the data given below.

Age (in Year)	$8$	$9$	$10$	$11$	$12$	$13$	$14$	$15$	$16$	$17$	$18$
Boys	$72 %$	$75 %$	$78 %$	$81 %$	$84 %$	$88 %$	$92 %$	$95 %$	$98 %$	$99 %$	$100 %$
Girls	$77 %$	$81 %$	$84 %$	$88 %$	$91 %$	$95 %$	$98 %$	$99 %$	$99.5 %$	$100 %$	$100 %$

Now, use the graph to answer the following question:

In which year both boys and the girls achieve their maximum height?

EASY

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A jagged line is used along horizontal line to indicate that it is not showing numbers between _____ and the first number shown on the horizontal line.

EASY

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The Slope of the displacement-time graph shows

MEDIUM

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The slope of the line in distance-time graph which is shown below is

Question Image

MEDIUM

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The following table shows the monthly tourist arrivals from January to June.

Months	January	February	March	April	May	June
Number of Tourists	$250$	$400$	$350$	$500$	$150$	$200$

Draw a histogram from the above table and find the total number of tourists in six months.

The analysis of data in tabular form is done in four ways mainly.

Important Questions on Measurement and Experimentation

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