EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
Frequency
15
41
25
27
54
75
32
(ii)
Class-Interval
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
Frequency
15
32
25
27
54
75
41
(iii)
Class-Interval
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
Frequency
15
41
23
27
54
75
32
(iv)
Class-Interval
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
Frequency
15
41
25
31
54
75
32
(v)
Class-Interval
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
Frequency
15
25
41
27
54
75
32
Question
2
2.
Given the number of doctors working in government hospitals in a city in various age groups. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
47
44
17
18
40
25
(ii)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
47
44
20
13
40
25
(iii)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
47
44
20
18
40
25
(iv)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
47
25
20
18
40
44
(v)
Age (in years)
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
No. of doctors
47
20
44
18
40
25
Question
3
3.
Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Cost of living index (in rupees)
159 - 166
166 - 173
173 - 180
180 - 187
187 - 194
No. of weeks
6
8
7
7
9
(ii)
Cost of living index (in rupees)
159 - 166
166 - 173
173 - 180
180 - 187
187 - 194
No. of weeks
6
14
7
7
8
(iii)
Cost of living index (in rupees)
159 - 166
166 - 173
173 - 180
180 - 187
187 - 194
No. of weeks
6
9
7
7
8
(iv)
Cost of living index (in rupees)
159 - 166
166 - 173
173 - 180
180 - 187
187 - 194
No. of weeks
6
7
9
7
8
(v)
Cost of living index (in rupees)
159 - 166
166 - 173
173 - 180
180 - 187
187 - 194
No. of weeks
6
9
4
7
8
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
Frequency
25
54
10
23
87
(ii)
Class-Interval
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
Frequency
25
52
15
23
87
(iii)
Class-Interval
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
Frequency
25
52
10
23
87
(iv)
Class-Interval
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
Frequency
25
87
10
23
52
(v)
Class-Interval
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
Frequency
25
10
52
23
87
Question
5
5.
Given the number of doctors working in government hospitals in a city in various age groups. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of doctors
20
19
51
49
14
18
43
17
(ii)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of doctors
20
19
49
48
14
18
43
17
(iii)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of doctors
20
17
48
49
14
18
43
19
(iv)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of doctors
20
19
48
49
9
18
43
17
(v)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
108 - 118
No. of doctors
20
19
48
49
14
18
43
17
Question
6
6.
Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Cost of living index (in rupees)
196 - 201
202 - 207
208 - 213
214 - 219
220 - 225
No. of weeks
5
5
8
5
5
(ii)
Cost of living index (in rupees)
196 - 201
202 - 207
208 - 213
214 - 219
220 - 225
No. of weeks
5
1
8
5
5
(iii)
Cost of living index (in rupees)
196 - 201
202 - 207
208 - 213
214 - 219
220 - 225
No. of weeks
5
5
5
5
5
(iv)
Cost of living index (in rupees)
196 - 201
202 - 207
208 - 213
214 - 219
220 - 225
No. of weeks
5
8
5
5
5
Question
7
7.
Heights of 240 students (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
125 - 135
135 - 145
145 - 155
155 - 165
165 - 175
175 - 185
185 - 195
No. of students
27
48
47
26
31
33
28
(ii)
Height (in cm)
125 - 135
135 - 145
145 - 155
155 - 165
165 - 175
175 - 185
185 - 195
No. of students
27
47
28
26
31
33
48
(iii)
Height (in cm)
125 - 135
135 - 145
145 - 155
155 - 165
165 - 175
175 - 185
185 - 195
No. of students
27
28
47
26
31
33
48
(iv)
Height (in cm)
125 - 135
135 - 145
145 - 155
155 - 165
165 - 175
175 - 185
185 - 195
No. of students
27
28
52
26
31
33
48
(v)
Height (in cm)
125 - 135
135 - 145
145 - 155
155 - 165
165 - 175
175 - 185
185 - 195
No. of students
27
28
47
22
31
33
48
Question
8
8.
Heights of 132 students (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
22
21
23
24
39
(ii)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
22
39
23
24
24
(iii)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
22
23
24
24
39
(iv)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
22
24
28
24
39
(v)
Height (in cm)
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
22
24
23
24
39
Question
9
9.
Heights of 205 plants (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
122 - 131
131 - 140
No. of plants
32
34
22
19
20
26
14
40
(ii)
Height (in cm)
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
122 - 131
131 - 140
No. of plants
32
34
19
22
18
26
14
40
(iii)
Height (in cm)
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
122 - 131
131 - 140
No. of plants
32
34
22
19
18
26
14
40
(iv)
Height (in cm)
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
122 - 131
131 - 140
No. of plants
32
34
18
19
18
26
14
40
(v)
Height (in cm)
68 - 77
77 - 86
86 - 95
95 - 104
104 - 113
113 - 122
122 - 131
131 - 140
No. of plants
32
40
22
19
18
26
14
34
Question
10
10.
Heights of 106 plants (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
No. of plants
49
8
8
20
21
(ii)
Height (in cm)
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
No. of plants
49
21
8
20
8
(iii)
Height (in cm)
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
No. of plants
49
4
8
20
21
(iv)
Height (in cm)
54 - 62
63 - 71
72 - 80
81 - 89
90 - 98
No. of plants
49
8
12
20
21
Question
11
11.
Ages of 109 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
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
30
22
12
7
34
(ii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
30
19
16
7
34
(iii)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
30
16
22
7
34
(iv)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
30
22
16
7
34
(v)
Age (in years)
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
No. of students
30
34
16
7
22
Question
12
12.
Ages of 199 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)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
No. of students
49
16
10
45
43
36
(ii)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
No. of students
49
10
16
45
43
36
(iii)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
No. of students
49
36
10
45
43
16
(iv)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
No. of students
49
16
10
49
43
36
(v)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
No. of students
49
16
12
45
43
36
Question
13
13.
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
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
No. of students
30
39
24
35
19
20
(ii)
Score
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
No. of students
30
39
21
30
19
20
(iii)
Score
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
No. of students
30
20
21
35
19
39
(iv)
Score
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
No. of students
30
21
39
35
19
20
(v)
Score
86 - 92
92 - 98
98 - 104
104 - 110
110 - 116
116 - 122
No. of students
30
39
21
35
19
20
Question
14
14.
Scores of 161 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
128 - 135
136 - 143
No. of students
15
32
5
13
9
44
5
38
(ii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
128 - 135
136 - 143
No. of students
15
38
13
5
9
44
5
32
(iii)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
128 - 135
136 - 143
No. of students
15
38
5
13
12
44
5
32
(iv)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
128 - 135
136 - 143
No. of students
15
38
5
13
9
44
5
32
(v)
Score
80 - 87
88 - 95
96 - 103
104 - 111
112 - 119
120 - 127
128 - 135
136 - 143
No. of students
15
38
1
13
9
44
5
32
Question
15
15.
Rainfall of 187 days (in mm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Rainfall (in mm)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
48
17
41
8
36
34
(ii)
Rainfall (in mm)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
48
41
17
11
36
34
(iii)
Rainfall (in mm)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
48
17
44
11
36
34
(iv)
Rainfall (in mm)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
48
17
41
11
36
34
(v)
Rainfall (in mm)
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
No. of days
48
34
41
11
36
17
Question
16
16.
Rainfall of 151 days (in mm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Rainfall (in mm)
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
24
45
35
32
15
(ii)
Rainfall (in mm)
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
24
35
15
32
45
(iii)
Rainfall (in mm)
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
24
15
32
32
45
(iv)
Rainfall (in mm)
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
24
19
35
32
45
(v)
Rainfall (in mm)
15 - 23
24 - 32
33 - 41
42 - 50
51 - 59
No. of days
24
15
35
32
45
Question
17
17.
Temperatures of 171 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)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
No. of days
45
24
9
32
49
9
(ii)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
No. of days
45
24
12
34
49
9
(iii)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
No. of days
45
24
12
32
49
9
(iv)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
No. of days
45
9
12
32
49
24
(v)
Temperature (in degree)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
No. of days
45
12
24
32
49
9
Question
18
18.
Temperatures of 270 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)
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
45
32
32
44
45
36
32
(ii)
Temperature (in degree)
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
45
32
34
48
45
36
32
(iii)
Temperature (in degree)
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
45
32
32
48
45
36
32
Question
19
19.
Weights of 185 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)
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of students
47
20
13
42
18
45
(ii)
Weight (in kg)
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of students
47
45
13
42
18
20
(iii)
Weight (in kg)
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of students
47
13
45
42
18
20
(iv)
Weight (in kg)
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of students
47
45
9
42
18
20
(v)
Weight (in kg)
52 - 60
60 - 68
68 - 76
76 - 84
84 - 92
92 - 100
No. of students
47
45
13
40
18
20
Question
20
20.
Weights of 173 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)
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of students
37
26
27
10
31
15
29
(ii)
Weight (in kg)
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of students
37
27
26
8
31
15
29
(iii)
Weight (in kg)
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of students
37
26
27
8
31
15
29
(iv)
Weight (in kg)
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of students
37
26
32
8
31
15
29
(v)
Weight (in kg)
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of students
37
29
27
8
31
15
26
Question
21
21.
Daily wages of 173 labourers (in ₹) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Daily wage(in Rs)
262 - 270
270 - 278
278 - 286
286 - 294
294 - 302
302 - 310
310 - 318
No. of labourers
16
17
15
29
48
12
36
(ii)
Daily wage(in Rs)
262 - 270
270 - 278
278 - 286
286 - 294
294 - 302
302 - 310
310 - 318
No. of labourers
16
15
36
29
48
12
17
(iii)
Daily wage(in Rs)
262 - 270
270 - 278
278 - 286
286 - 294
294 - 302
302 - 310
310 - 318
No. of labourers
16
36
15
31
48
12
17
(iv)
Daily wage(in Rs)
262 - 270
270 - 278
278 - 286
286 - 294
294 - 302
302 - 310
310 - 318
No. of labourers
16
36
13
29
48
12
17
(v)
Daily wage(in Rs)
262 - 270
270 - 278
278 - 286
286 - 294
294 - 302
302 - 310
310 - 318
No. of labourers
16
36
15
29
48
12
17
Question
22
22.
Daily wages of 105 labourers (in ₹) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Daily wage(in Rs)
226 - 231
232 - 237
238 - 243
244 - 249
250 - 255
No. of labourers
31
31
8
27
6
(ii)
Daily wage(in Rs)
226 - 231
232 - 237
238 - 243
244 - 249
250 - 255
No. of labourers
31
8
33
27
6
(iii)
Daily wage(in Rs)
226 - 231
232 - 237
238 - 243
244 - 249
250 - 255
No. of labourers
31
33
8
27
6
(iv)
Daily wage(in Rs)
226 - 231
232 - 237
238 - 243
244 - 249
250 - 255
No. of labourers
31
33
3
27
6
(v)
Daily wage(in Rs)
226 - 231
232 - 237
238 - 243
244 - 249
250 - 255
No. of labourers
31
6
8
27
33
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (iii)
5) (v)
6) (i)
7) (iii)
8) (v)
9) (iii)
10) (i)
11) (iv)
12) (i)
13) (v)
14) (iv)
15) (iv)
16) (v)
17) (iii)
18) (iii)
19) (ii)
20) (iii)
21) (v)
22) (iii)