EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Weights of persons in a group.
c)
Wages of workers in a factory.
d)
Heights of children in a class.
e)
Number of members in a family.
(i)
{a,e,d}
(ii)
{b,c,d}
(iii)
{e,c}
(iv)
{a,b}
(v)
{a,b,c}
Question
2
2.
The daily income of 32 workers of a factory is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
No. of workers
9
13
23
30
(ii)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
No. of workers
9
15
20
27
(iii)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
No. of workers
9
15
25
32
(iv)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
No. of workers
9
19
25
32
(v)
Daily income (in Rs)
less than 220
less than 240
less than 260
less than 280
No. of workers
7
13
23
32
Question
3
3.
The air distance of some cities from Delhi (in km) are given below. Find the city that has maximum distance.
(i)
Coimbatore
(ii)
Bhopal
(iii)
Mumbai
(iv)
Chennai
(v)
Bubhaneshwar
Question
4
4.
Which of the following are true?
a)
Each numerical figure in a data set is called an observation.
b)
The true lower limit of the exclusive form class interval 50 - 60 is 50.
c)
The true lower limit of the inclusive form class interval 50 - 60 is 50.
d)
The difference between the true upper limit and true lower limit is called the class mark.
e)
The number of times a particular observation occurs is called its frequency.
(i)
{c,a,b}
(ii)
{a,b,e}
(iii)
{d,b}
(iv)
{c,d,e}
(v)
{c,a}
Question
5
5.
Scores of 166 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
89 - 98
98 - 107
107 - 116
116 - 125
125 - 134
134 - 143
No. of students
45
36
26
5
36
18
(ii)
Score
89 - 98
98 - 107
107 - 116
116 - 125
125 - 134
134 - 143
No. of students
45
26
38
5
36
18
(iii)
Score
89 - 98
98 - 107
107 - 116
116 - 125
125 - 134
134 - 143
No. of students
45
18
36
5
36
26
(iv)
Score
89 - 98
98 - 107
107 - 116
116 - 125
125 - 134
134 - 143
No. of students
45
26
36
5
36
18
(v)
Score
89 - 98
98 - 107
107 - 116
116 - 125
125 - 134
134 - 143
No. of students
45
26
36
10
36
18
Question
6
6.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
17
students, taking class size
3
.
13
19
12
22
13
14
25
25
22
14
12
22
22
25
21
18
23
(i)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
6
3
2
6
0
(ii)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
6
2
2
6
3
(iii)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
6
0
2
6
3
(iv)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
6
2
0
6
3
(v)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
6
0
7
6
3
Question
7
7.
Heights of 214 plants (in cm) are given below. Identify the class mark table for the given histogram.
(i)
Height (in cm)
63
69
75
81
87
93
99
105
No. of plants
29
25
43
15
39
5
30
25
(ii)
Height (in cm)
63
69
75
81
87
93
99
105
No. of plants
29
25
15
46
39
5
30
25
(iii)
Height (in cm)
63
69
75
81
87
93
99
105
No. of plants
29
25
46
15
39
5
30
25
(iv)
Height (in cm)
63
69
75
81
87
93
99
105
No. of plants
29
25
46
15
42
5
30
25
Question
8
8.
Given the sample data, prepare the class interval table in
exclusive
form with
8
as min value and a class size of
6
.
16
35
44
49
30
30
41
27
8
44
20
45
34
38
10
40
(i)
Class-Interval
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
Frequency
2
1
6
3
2
3
4
(ii)
Class-Interval
8 - 13
14 - 19
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
Frequency
2
1
1
3
2
3
4
(iii)
Class-Interval
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
Frequency
2
4
1
3
2
3
1
(iv)
Class-Interval
8 - 14
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
Frequency
2
1
1
3
2
3
4
Question
9
9.
Convert the inclusive form of the class interval 34 - 40 to exclusive form
(i)
33.5
-
41
(ii)
33.5
-
40.5
(iii)
34
-
40
(iv)
33
-
41
(v)
33
-
40.5
Question
10
10.
The mean of
8
numbers is
10
.
Upon
adding
one number,
the mean becomes
10
1
9
.
Find the
included
number.
(i)
10
(ii)
9
(iii)
12
(iv)
14
(v)
11
Question
11
11.
The marks obtained by
19
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
5
.
55
66
44
56
50
77
60
42
50
70
55
41
48
70
66
46
77
65
61
(i)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
3
4
2
2
2
4
0
2
(ii)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
3
2
2
2
2
4
0
4
(iii)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
3
4
7
2
2
4
0
2
(iv)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
3
4
2
2
4
4
0
2
Question
12
12.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
20
12
17
6
14
16
7
(ii)
Class-Interval
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
13
7
13
20
1
1
1
(iii)
Class-Interval
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
8
11
5
11
10
6
3
(iv)
Class-Interval
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
19
14
16
16
18
8
13
(v)
Class-Interval
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
60 - 68
69 - 77
Frequency
3
16
9
20
14
4
18
Question
13
13.
Rainfall of 15 days (in mm) are given below. Find the median rainfall.
10
15
5
11
5
14
9
7
11
6
7
9
13
13
12
(i)
11
mm
(ii)
12
mm
(iii)
9
mm
(iv)
8
mm
(v)
10
mm
Question
14
14.
Daily wages of 157 labourers (in ₹) are given below.
Identify the class interval table for the given histogram.
(i)
Daily wage (in Rs)
264 - 272
272 - 280
280 - 288
288 - 296
296 - 304
304 - 312
No. of labourers
11
45
15
49
16
26
(ii)
Daily wage (in Rs)
264 - 272
272 - 280
280 - 288
288 - 296
296 - 304
304 - 312
No. of labourers
11
45
10
44
16
26
(iii)
Daily wage (in Rs)
264 - 272
272 - 280
280 - 288
288 - 296
296 - 304
304 - 312
No. of labourers
11
45
15
44
16
26
(iv)
Daily wage (in Rs)
264 - 272
272 - 280
280 - 288
288 - 296
296 - 304
304 - 312
No. of labourers
11
15
45
44
16
26
(v)
Daily wage (in Rs)
264 - 272
272 - 280
280 - 288
288 - 296
296 - 304
304 - 312
No. of labourers
11
26
15
44
16
45
Question
15
15.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
25 - 29
13
30 - 34
26
35 - 39
32
40 - 44
40
45 - 49
51
50 - 54
67
55 - 59
80
60 - 64
90
(i)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
Frequency
13
13
3
8
11
16
13
10
(ii)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
Frequency
13
10
6
8
11
16
13
13
(iii)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
Frequency
13
13
8
6
11
16
13
10
(iv)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
Frequency
13
13
6
8
11
16
13
10
(v)
Class-Interval
25 - 29
30 - 34
35 - 39
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
Frequency
13
13
6
8
14
16
13
10
Question
16
16.
Heights of 96 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of plants
14
18
14
11
6
9
10
10
(ii)
Height (in cm)
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of plants
14
18
14
11
10
9
10
10
(iii)
Height (in cm)
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of plants
14
18
11
14
10
9
10
10
(iv)
Height (in cm)
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of plants
14
18
19
11
10
9
10
10
(v)
Height (in cm)
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
98 - 107
107 - 116
116 - 125
No. of plants
14
10
14
11
10
9
10
18
Question
17
17.
Weights of 107 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
No. of students
9
19
13
8
16
13
17
12
(ii)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
No. of students
9
12
17
8
16
13
17
19
(iii)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
No. of students
9
12
13
8
16
13
17
19
(iv)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
No. of students
9
12
13
8
11
13
17
19
(v)
Weight (in kg)
51 - 59
60 - 68
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
No. of students
9
12
8
13
16
13
17
19
Question
18
18.
Find the mean of first 8 multiples of 17.
(i)
305
4
(ii)
77
(iii)
153
2
(iv)
151
2
(v)
155
2
Question
19
19.
The marks obtained by
15
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
5
.
58
68
80
59
73
79
48
72
68
75
80
45
80
67
71
(i)
Marks
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
3
2
0
3
3
2
0
(ii)
Marks
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
0
2
0
8
3
2
3
(iii)
Marks
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
0
2
0
3
3
2
3
(iv)
Marks
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
0
7
0
3
3
2
3
(v)
Marks
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
0
0
2
3
3
2
3
Question
20
20.
Scores of 185 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
89 - 99
100 - 110
111 - 121
122 - 132
133 - 143
144 - 154
155 - 165
166 - 176
No. of students
18
27
11
7
30
35
35
22
(ii)
Score
89 - 99
100 - 110
111 - 121
122 - 132
133 - 143
144 - 154
155 - 165
166 - 176
No. of students
18
27
7
11
30
35
35
22
(iii)
Score
89 - 99
100 - 110
111 - 121
122 - 132
133 - 143
144 - 154
155 - 165
166 - 176
No. of students
18
27
11
7
25
35
35
22
(iv)
Score
89 - 99
100 - 110
111 - 121
122 - 132
133 - 143
144 - 154
155 - 165
166 - 176
No. of students
18
22
11
7
30
35
35
27
(v)
Score
89 - 99
100 - 110
111 - 121
122 - 132
133 - 143
144 - 154
155 - 165
166 - 176
No. of students
18
27
6
7
30
35
35
22
Question
21
21.
Given class interval
17
-
26
in exclusive form, its
lower limit is
(i)
17
(ii)
16
(iii)
14
(iv)
18
(v)
20
Question
22
22.
The class marks of a frequency distribution are
22.5 , 30.5 , 38.5 , 46.5
.
Find the class size and class intervals
in inclusive form
(i)
8
;
19
-
26
,
27
-
34
,
35
-
42
,
43
-
50
(ii)
8
;
18
-
25
,
26
-
33
,
34
-
41
,
42
-
49
(iii)
8
;
20
-
27
,
28
-
35
,
36
-
43
,
44
-
51
(iv)
7
;
19
-
26
,
26
-
33
,
33
-
40
,
40
-
47
(v)
8
;
18
-
26
,
26
-
34
,
34
-
42
,
42
-
50
Question
23
23.
Heights of 245 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
192 - 201
No. of students
43
26
36
41
18
37
43
5
(ii)
Height (in cm)
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
192 - 201
No. of students
43
5
36
41
14
37
43
26
(iii)
Height (in cm)
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
192 - 201
No. of students
43
26
34
41
14
37
43
5
(iv)
Height (in cm)
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
192 - 201
No. of students
43
26
41
36
14
37
43
5
(v)
Height (in cm)
129 - 138
138 - 147
147 - 156
156 - 165
165 - 174
174 - 183
183 - 192
192 - 201
No. of students
43
26
36
41
14
37
43
5
Question
24
24.
Ages of 160 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
No. of students
21
11
20
24
50
29
(ii)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
No. of students
21
29
20
29
50
11
(iii)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
No. of students
21
20
11
29
50
29
(iv)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
No. of students
21
11
17
29
50
29
(v)
Age (in years)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
No. of students
21
11
20
29
50
29
Question
25
25.
Given the bar graph, find the maximum frequency
(i)
100
(ii)
105
(iii)
95
(iv)
90
(v)
85
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (ii)
5) (iv)
6) (iii)
7) (iii)
8) (iv)
9) (ii)
10) (v)
11) (i)
12) (iii)
13) (v)
14) (iii)
15) (iv)
16) (ii)
17) (iii)
18) (iii)
19) (iii)
20) (i)
21) (i)
22) (i)
23) (v)
24) (v)
25) (iv)
