Data Handling-II (Graphical Representation of Data as Histograms) | Mathematics (Maths) Class 8 PDF Download

 Page 1


Q u e s t i o n : 1
Given below is the frequency distribution of the heights of 50 students of a class:
Class interval: 140-145 145-150 150-155 155-160 160-165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis on a suitable scale and the frequencies are represented along the
y-axis on a suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the
rectangles can be constructed to obtain the histogram of the given frequency distribution as shown in the figure
below:
Q u e s t i o n : 2
Draw a histogram of the following data:
Class interval: 10-15 15-20 20-25 25-30 30-35 34-40
Frequency: 30 98 80 58 29 50
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be drawn to obtain the histogram of the given frequency distribution. The histogram is shown below:
Page 2


Q u e s t i o n : 1
Given below is the frequency distribution of the heights of 50 students of a class:
Class interval: 140-145 145-150 150-155 155-160 160-165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis on a suitable scale and the frequencies are represented along the
y-axis on a suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the
rectangles can be constructed to obtain the histogram of the given frequency distribution as shown in the figure
below:
Q u e s t i o n : 2
Draw a histogram of the following data:
Class interval: 10-15 15-20 20-25 25-30 30-35 34-40
Frequency: 30 98 80 58 29 50
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be drawn to obtain the histogram of the given frequency distribution. The histogram is shown below:
Q u e s t i o n : 3
Number of workshops organized by a school in different areas during the last five years are as follows:
Years No. of workshops
1995-1996 25
1996-1997 30
1997-1998 42
1998-1999 50
1999-2000 65
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be constructed to obtain histogram for the given frequency. The histogram is shown below:
Page 3


Q u e s t i o n : 1
Given below is the frequency distribution of the heights of 50 students of a class:
Class interval: 140-145 145-150 150-155 155-160 160-165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis on a suitable scale and the frequencies are represented along the
y-axis on a suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the
rectangles can be constructed to obtain the histogram of the given frequency distribution as shown in the figure
below:
Q u e s t i o n : 2
Draw a histogram of the following data:
Class interval: 10-15 15-20 20-25 25-30 30-35 34-40
Frequency: 30 98 80 58 29 50
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be drawn to obtain the histogram of the given frequency distribution. The histogram is shown below:
Q u e s t i o n : 3
Number of workshops organized by a school in different areas during the last five years are as follows:
Years No. of workshops
1995-1996 25
1996-1997 30
1997-1998 42
1998-1999 50
1999-2000 65
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be constructed to obtain histogram for the given frequency. The histogram is shown below:
Q u e s t i o n : 4
In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution takingoneoftheclassintervalsas50 -100
.
S o l u t i o n :
We first prepare the frequency table for the class intervals 50 -
100, 100 -
150,..., 200 -
250, as shown below:
 
Money Tally Amount Frequency
50 -
100
98 1
100 -
150
114, 108, 100, 101, 109, 117, 119, 126,
131, 136, 143, 118
12
150 -
200
156, 169, 182, 195 4
200 -
250
207, 219, 235 3
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking
the class intervals as bases and the corresponding frequencies as heights, the rectangles can be drawn to obtain
the histogram of the given frequency distribution. The histogram is shown below:
Q u e s t i o n : 5
Construct a histogram for the following data:
Monthly school
fee
inRs:
30-60 60-90 90-120 120-150 150-180 180-210 210-240
Number of
schools:
5 12 14 18 10 9 4
Page 4


Q u e s t i o n : 1
Given below is the frequency distribution of the heights of 50 students of a class:
Class interval: 140-145 145-150 150-155 155-160 160-165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis on a suitable scale and the frequencies are represented along the
y-axis on a suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the
rectangles can be constructed to obtain the histogram of the given frequency distribution as shown in the figure
below:
Q u e s t i o n : 2
Draw a histogram of the following data:
Class interval: 10-15 15-20 20-25 25-30 30-35 34-40
Frequency: 30 98 80 58 29 50
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be drawn to obtain the histogram of the given frequency distribution. The histogram is shown below:
Q u e s t i o n : 3
Number of workshops organized by a school in different areas during the last five years are as follows:
Years No. of workshops
1995-1996 25
1996-1997 30
1997-1998 42
1998-1999 50
1999-2000 65
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be constructed to obtain histogram for the given frequency. The histogram is shown below:
Q u e s t i o n : 4
In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution takingoneoftheclassintervalsas50 -100
.
S o l u t i o n :
We first prepare the frequency table for the class intervals 50 -
100, 100 -
150,..., 200 -
250, as shown below:
 
Money Tally Amount Frequency
50 -
100
98 1
100 -
150
114, 108, 100, 101, 109, 117, 119, 126,
131, 136, 143, 118
12
150 -
200
156, 169, 182, 195 4
200 -
250
207, 219, 235 3
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking
the class intervals as bases and the corresponding frequencies as heights, the rectangles can be drawn to obtain
the histogram of the given frequency distribution. The histogram is shown below:
Q u e s t i o n : 5
Construct a histogram for the following data:
Monthly school
fee
inRs:
30-60 60-90 90-120 120-150 150-180 180-210 210-240
Number of
schools:
5 12 14 18 10 9 4
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking
class intervals as bases and corresponding frequencies as heights of the rectangles, the histogram of the given
data can be obtained as shown in the figure below:
Q u e s t i o n : 6
Draw a histogram for the daily earnings of 30 drug stores in the following table:
Daily earnings
inRs:
450-500 500-550 550-600 600-650 650-700
Numbers of stores: 16 10 7 3 1
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking
class intervals as bases and the corresponding frequencies as heights, the rectangles can be drawn to obtain the
histogram of the given frequency distribution. The histogram is given below:
Q u e s t i o n : 7
Draw a histogram to represent the following data:
Page 5


Q u e s t i o n : 1
Given below is the frequency distribution of the heights of 50 students of a class:
Class interval: 140-145 145-150 150-155 155-160 160-165
Frequency: 8 12 18 10 5
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis on a suitable scale and the frequencies are represented along the
y-axis on a suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the
rectangles can be constructed to obtain the histogram of the given frequency distribution as shown in the figure
below:
Q u e s t i o n : 2
Draw a histogram of the following data:
Class interval: 10-15 15-20 20-25 25-30 30-35 34-40
Frequency: 30 98 80 58 29 50
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be drawn to obtain the histogram of the given frequency distribution. The histogram is shown below:
Q u e s t i o n : 3
Number of workshops organized by a school in different areas during the last five years are as follows:
Years No. of workshops
1995-1996 25
1996-1997 30
1997-1998 42
1998-1999 50
1999-2000 65
Draw a histogram representing the above data.
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies are represented along the y-axis on a
suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can
be constructed to obtain histogram for the given frequency. The histogram is shown below:
Q u e s t i o n : 4
In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution takingoneoftheclassintervalsas50 -100
.
S o l u t i o n :
We first prepare the frequency table for the class intervals 50 -
100, 100 -
150,..., 200 -
250, as shown below:
 
Money Tally Amount Frequency
50 -
100
98 1
100 -
150
114, 108, 100, 101, 109, 117, 119, 126,
131, 136, 143, 118
12
150 -
200
156, 169, 182, 195 4
200 -
250
207, 219, 235 3
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking
the class intervals as bases and the corresponding frequencies as heights, the rectangles can be drawn to obtain
the histogram of the given frequency distribution. The histogram is shown below:
Q u e s t i o n : 5
Construct a histogram for the following data:
Monthly school
fee
inRs:
30-60 60-90 90-120 120-150 150-180 180-210 210-240
Number of
schools:
5 12 14 18 10 9 4
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking
class intervals as bases and corresponding frequencies as heights of the rectangles, the histogram of the given
data can be obtained as shown in the figure below:
Q u e s t i o n : 6
Draw a histogram for the daily earnings of 30 drug stores in the following table:
Daily earnings
inRs:
450-500 500-550 550-600 600-650 650-700
Numbers of stores: 16 10 7 3 1
S o l u t i o n :
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking
class intervals as bases and the corresponding frequencies as heights, the rectangles can be drawn to obtain the
histogram of the given frequency distribution. The histogram is given below:
Q u e s t i o n : 7
Draw a histogram to represent the following data:
Monthly salary
inRs
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
S o l u t i o n :
Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can be constructed
to obtain the histogram of the given data. The class intervals are represented along the x-axis and the frequencies
along the y-axis on a suitable scale.
The histogram representing the given data is shown below:
Q u e s t i o n : 8
The following histogram shows the number of literate females in the age group of 10 to 40 years in a town: