EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Heights of 14 plants (in cm) are given below. Find the mean height.
86
60
90
80
93
77
72
86
53
77
80
53
90
76
(i)
537
7
cm
(ii)
1073
14
cm
(iii)
1101
14
cm
(iv)
1075
14
cm
(v)
1087
14
cm
Question
2
2.
Scores of 164 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
10
26
17
20
33
21
34
(ii)
Score
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
10
26
20
24
33
21
34
(iii)
Score
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
10
34
20
20
33
21
26
(iv)
Score
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
10
20
26
20
33
21
34
(v)
Score
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
118 - 124
No. of students
10
26
20
20
33
21
34
Question
3
3.
Ages of 153 students (in years) are given below. Identify the class mark table for the given histogram.
(i)
Age (in years)
13.5
20.5
27.5
34.5
41.5
48.5
No. of students
19
19
5
47
41
27
(ii)
Age (in years)
13.5
20.5
27.5
34.5
41.5
48.5
No. of students
19
19
9
42
41
27
(iii)
Age (in years)
13.5
20.5
27.5
34.5
41.5
48.5
No. of students
19
27
5
42
41
19
(iv)
Age (in years)
13.5
20.5
27.5
34.5
41.5
48.5
No. of students
19
5
19
42
41
27
(v)
Age (in years)
13.5
20.5
27.5
34.5
41.5
48.5
No. of students
19
19
5
42
41
27
Question
4
4.
The class boundaries of 50 - 59 which is in inclusive form are
(i)
49
-
59.5
(ii)
49.5
-
60
(iii)
49.5
-
59.5
(iv)
49
-
60
(v)
50
-
59
Question
5
5.
Temperatures of 14 days (in °C) are given below. Find the median temperature.
30
30
34
33
25
28
26
32
26
31
27
26
26
30
(i)
30
°C
(ii)
29
°C
(iii)
27
°C
(iv)
28
°C
(v)
31
°C
Question
6
6.
Given the mean of
15
samples as
13
1
3
,
what is the mean if a sample value is
increased
by
10
?
(i)
17
(ii)
14
(iii)
13
(iv)
12
(v)
15
Question
7
7.
Weights of 114 students (in kg) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
33
37
14
17
16
(ii)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
33
34
14
17
16
(iii)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
33
14
34
17
16
(iv)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
33
34
10
17
16
(v)
Weight (in kg)
59 - 66
66 - 73
73 - 80
80 - 87
87 - 94
No. of students
33
16
14
17
34
Question
8
8.
The marks obtained by 14 students in a test are given below. Find their median marks.
9
44
26
49
37
18
31
29
31
34
11
36
50
29
(i)
29
(ii)
31
(iii)
30
(iv)
33
(v)
32
Question
9
9.
Heights of 231 plants (in cm) are given below. Identify the class mark table for the given histogram.
(i)
Height (in cm)
53.5
61.5
69.5
77.5
85.5
93.5
101.5
109.5
No. of plants
46
49
39
28
22
29
11
7
(ii)
Height (in cm)
53.5
61.5
69.5
77.5
85.5
93.5
101.5
109.5
No. of plants
46
49
28
39
22
29
11
7
(iii)
Height (in cm)
53.5
61.5
69.5
77.5
85.5
93.5
101.5
109.5
No. of plants
46
49
25
39
22
29
11
7
(iv)
Height (in cm)
53.5
61.5
69.5
77.5
85.5
93.5
101.5
109.5
No. of plants
46
7
28
39
22
29
11
49
(v)
Height (in cm)
53.5
61.5
69.5
77.5
85.5
93.5
101.5
109.5
No. of plants
46
49
28
39
17
29
11
7
Question
10
10.
Less than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
lower boundaries of classes and less than cumulative frequencies
(iii)
lower boundaries of classes and greater than cumulative frequencies
(iv)
mid values of classes and less than cumulative frequencies
Question
11
11.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has 28 °C temperature.
(i)
5 a.m.
(ii)
9 a.m.
(iii)
1 p.m.
(iv)
5 p.m.
(v)
7 a.m.
Question
12
12.
Given class interval
35
-
43
in exclusive form, its
class mark is
(i)
39
(ii)
40
(iii)
38
(iv)
41
(v)
37
Question
13
13.
The heights of 46 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
(i)
Height (in cm)
less than 132
less than 141
less than 150
less than 159
less than 168
less than 177
No. of pupils
4
11
23
31
40
46
(ii)
Height (in cm)
less than 132
less than 141
less than 150
less than 159
less than 168
less than 177
No. of pupils
4
16
23
31
40
46
(iii)
Height (in cm)
less than 132
less than 141
less than 150
less than 159
less than 168
less than 177
No. of pupils
4
16
23
34
43
49
(iv)
Height (in cm)
less than 132
less than 141
less than 150
less than 159
less than 168
less than 177
No. of pupils
4
10
17
25
34
46
(v)
Height (in cm)
less than 132
less than 141
less than 150
less than 159
less than 168
less than 177
No. of pupils
4
16
21
29
38
44
Question
14
14.
The scores obtained by 11 students in a test are given below. Find the median.
8
8
18
9
2
17
3
5
20
1
5
(i)
1
(ii)
8
(iii)
8
8
11
(iv)
20
(v)
19
Question
15
15.
The mean of the below random sample is
32
2
5
.
Find the missing quantity.
33
x
41
49
37
13
30
46
48
14
(i)
13
(ii)
15
(iii)
14
(iv)
12
(v)
11
Question
16
16.
The scores obtained by 10 students in a test are given below. Find the mode.
4
19
15
5
1
18
1
11
6
9
(i)
9
(ii)
1
(iii)
19
(iv)
9
7
9
(v)
18
Question
17
17.
Weights of 15 students (in kg) are given below. Find the mode weight.
50
57
57
40
45
58
43
46
56
57
56
45
57
59
57
(i)
59
kg
(ii)
58
kg
(iii)
55
kg
(iv)
57
kg
(v)
56
kg
Question
18
18.
Ages of 164 students (in years) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of students
49
14
19
44
38
(ii)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of students
49
38
21
44
14
(iii)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of students
49
38
19
44
14
(iv)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of students
49
42
19
44
14
(v)
Age (in years)
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
No. of students
49
19
38
44
14
Question
19
19.
Scores of 12 students are given below. Find the mode score.
85
70
80
77
81
80
85
70
85
87
75
85
(i)
85
(ii)
87
(iii)
84
(iv)
83
(v)
86
Question
20
20.
Find the mean of all prime numbers between 10 and 60.
(i)
359
11
(ii)
423
13
(iii)
421
13
(iv)
487
15
(v)
425
13
Question
21
21.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Heights of children in a class.
c)
Wages of workers in a factory.
d)
Weights of persons in a group.
e)
Number of members in a family.
(i)
{a,b}
(ii)
{b,c,d}
(iii)
{a,b,c}
(iv)
{a,e,d}
(v)
{e,c}
Question
22
22.
The following bar graph shows the export earnings of a country (in thousand crore) during five years. Find the year that has minimum export earnings.
(i)
2009-10
(ii)
2007-08
(iii)
2010-11
(iv)
2006-07
(v)
2008-09
Question
23
23.
Temperatures of 247 days (in °C) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Temperature (in degree)
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
No. of days
41
20
48
48
20
9
12
49
(ii)
Temperature (in degree)
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
No. of days
41
49
52
48
20
9
12
20
(iii)
Temperature (in degree)
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
No. of days
41
49
48
48
15
9
12
20
(iv)
Temperature (in degree)
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
No. of days
41
49
48
48
20
9
12
20
Question
24
24.
The scores obtained by 10 students in a test are given below. Find the mean score.
8
13
8
15
8
13
18
10
8
3
(i)
15
(ii)
8
(iii)
18
(iv)
3
(v)
10
2
5
Question
25
25.
The marks obtained by 37 students of a class in an examination is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
No. of students
6
11
22
27
34
39
(ii)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
No. of students
6
11
20
22
29
34
(iii)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
No. of students
6
11
20
25
32
37
(iv)
Marks
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
No. of students
6
15
20
25
32
37
Assignment Key
1) (ii)
2) (v)
3) (v)
4) (iii)
5) (ii)
6) (ii)
7) (ii)
8) (ii)
9) (ii)
10) (i)
11) (iv)
12) (i)
13) (ii)
14) (ii)
15) (i)
16) (ii)
17) (iv)
18) (iii)
19) (i)
20) (ii)
21) (ii)
22) (i)
23) (iv)
24) (v)
25) (iii)
