EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
Chapter : Statistics
Grade : CBSE Grade IX
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
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
Frequency
56
53
83
21
12
70
44
36
(ii)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
Frequency
56
36
83
21
12
70
44
53
(iii)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
Frequency
56
53
83
21
8
70
44
36
(iv)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
Frequency
56
53
78
21
12
70
44
36
(v)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
95 - 104
Frequency
56
53
21
83
12
70
44
36
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)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
No. of doctors
31
32
22
42
26
29
26
16
(ii)
Age (in years)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
No. of doctors
31
32
27
42
26
29
26
16
(iii)
Age (in years)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
No. of doctors
31
32
42
27
26
29
26
16
(iv)
Age (in years)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
No. of doctors
31
16
27
42
26
29
26
32
(v)
Age (in years)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
81 - 88
No. of doctors
31
32
27
42
28
29
26
16
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)
182 - 191
191 - 200
200 - 209
209 - 218
218 - 227
227 - 236
No. of weeks
8
7
10
10
5
6
(ii)
Cost of living index (in rupees)
182 - 191
191 - 200
200 - 209
209 - 218
218 - 227
227 - 236
No. of weeks
8
10
7
6
5
6
(iii)
Cost of living index (in rupees)
182 - 191
191 - 200
200 - 209
209 - 218
218 - 227
227 - 236
No. of weeks
8
10
7
10
5
6
(iv)
Cost of living index (in rupees)
182 - 191
191 - 200
200 - 209
209 - 218
218 - 227
227 - 236
No. of weeks
8
6
7
10
5
10
(v)
Cost of living index (in rupees)
182 - 191
191 - 200
200 - 209
209 - 218
218 - 227
227 - 236
No. of weeks
8
10
5
10
5
6
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
Frequency
65
74
25
63
71
16
43
86
(ii)
Class-Interval
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
Frequency
65
86
27
63
71
16
43
74
(iii)
Class-Interval
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
Frequency
65
74
27
63
67
16
43
86
(iv)
Class-Interval
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
Frequency
65
74
63
27
71
16
43
86
(v)
Class-Interval
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
112 - 122
Frequency
65
74
27
63
71
16
43
86
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)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of doctors
35
34
40
20
13
44
(ii)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of doctors
35
34
45
20
13
44
(iii)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of doctors
35
44
45
20
13
34
(iv)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of doctors
35
34
45
17
13
44
(v)
Age (in years)
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
No. of doctors
35
45
34
20
13
44
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)
144 - 149
150 - 155
156 - 161
162 - 167
168 - 173
174 - 179
No. of weeks
5
7
5
4
6
8
(ii)
Cost of living index (in rupees)
144 - 149
150 - 155
156 - 161
162 - 167
168 - 173
174 - 179
No. of weeks
5
5
7
9
6
8
(iii)
Cost of living index (in rupees)
144 - 149
150 - 155
156 - 161
162 - 167
168 - 173
174 - 179
No. of weeks
5
7
5
9
6
8
(iv)
Cost of living index (in rupees)
144 - 149
150 - 155
156 - 161
162 - 167
168 - 173
174 - 179
No. of weeks
5
8
5
9
6
7
(v)
Cost of living index (in rupees)
144 - 149
150 - 155
156 - 161
162 - 167
168 - 173
174 - 179
No. of weeks
5
7
8
9
6
8
Question
7
7.
Heights of 286 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)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
No. of students
9
45
47
27
46
43
27
39
(ii)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
No. of students
9
45
44
27
49
43
27
39
(iii)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
No. of students
9
45
47
27
49
43
27
39
(iv)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
No. of students
9
45
27
47
49
43
27
39
(v)
Height (in cm)
121 - 128
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
No. of students
9
39
47
27
49
43
27
45
Question
8
8.
Heights of 160 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)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of students
47
20
44
8
33
8
(ii)
Height (in cm)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of students
47
44
20
3
33
8
(iii)
Height (in cm)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of students
47
44
20
8
33
8
(iv)
Height (in cm)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of students
47
8
20
8
33
44
(v)
Height (in cm)
120 - 126
127 - 133
134 - 140
141 - 147
148 - 154
155 - 161
No. of students
47
44
18
8
33
8
Question
9
9.
Heights of 122 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)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
No. of plants
9
28
16
18
39
12
(ii)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
No. of plants
9
28
16
23
39
12
(iii)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
No. of plants
9
16
28
18
39
12
(iv)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
No. of plants
9
12
16
18
39
28
(v)
Height (in cm)
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
No. of plants
9
28
14
18
39
12
Question
10
10.
Heights of 160 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)
64 - 71
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
No. of plants
38
13
24
26
10
49
(ii)
Height (in cm)
64 - 71
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
No. of plants
38
49
22
26
10
13
(iii)
Height (in cm)
64 - 71
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
No. of plants
38
24
49
26
10
13
(iv)
Height (in cm)
64 - 71
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
No. of plants
38
49
24
26
10
13
(v)
Height (in cm)
64 - 71
72 - 79
80 - 87
88 - 95
96 - 103
104 - 111
No. of plants
38
49
24
24
10
13
Question
11
11.
Ages of 165 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)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
17
44
19
19
46
20
(ii)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
17
44
22
19
46
20
(iii)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
17
20
19
19
46
44
(iv)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
17
44
19
15
46
20
(v)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
17
19
44
19
46
20
Question
12
12.
Ages of 142 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
No. of students
32
18
39
48
5
(ii)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
No. of students
32
5
39
48
18
(iii)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
No. of students
32
18
41
48
5
(iv)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
No. of students
32
39
18
48
5
(v)
Age (in years)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
No. of students
32
13
39
48
5
Question
13
13.
Scores of 191 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
120 - 127
No. of students
26
32
13
40
5
43
37
(ii)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
120 - 127
No. of students
26
32
8
35
5
43
37
(iii)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
120 - 127
No. of students
26
37
13
35
5
43
32
(iv)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
120 - 127
No. of students
26
13
32
35
5
43
37
(v)
Score
78 - 85
85 - 92
92 - 99
99 - 106
106 - 113
113 - 120
120 - 127
No. of students
26
32
13
35
5
43
37
Question
14
14.
Scores of 165 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
82 - 88
89 - 95
96 - 102
103 - 109
110 - 116
No. of students
32
33
12
40
48
(ii)
Score
82 - 88
89 - 95
96 - 102
103 - 109
110 - 116
No. of students
32
48
10
40
33
(iii)
Score
82 - 88
89 - 95
96 - 102
103 - 109
110 - 116
No. of students
32
12
48
40
33
(iv)
Score
82 - 88
89 - 95
96 - 102
103 - 109
110 - 116
No. of students
32
48
12
40
33
(v)
Score
82 - 88
89 - 95
96 - 102
103 - 109
110 - 116
No. of students
32
53
12
40
33
Question
15
15.
Rainfall of 164 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)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of days
23
37
9
26
13
26
34
(ii)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of days
23
37
5
31
13
26
34
(iii)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of days
23
34
5
26
13
26
37
(iv)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of days
23
5
37
26
13
26
34
(v)
Rainfall (in mm)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
No. of days
23
37
5
26
13
26
34
Question
16
16.
Rainfall of 152 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 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
20
36
10
45
33
11
(ii)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
20
36
15
42
33
11
(iii)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
20
36
10
42
33
11
(iv)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
20
11
10
42
33
36
(v)
Rainfall (in mm)
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of days
20
10
36
42
33
11
Question
17
17.
Temperatures of 91 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)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
No. of days
16
5
36
11
23
(ii)
Temperature (in degree)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
No. of days
16
36
5
11
23
(iii)
Temperature (in degree)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
No. of days
16
23
36
11
5
(iv)
Temperature (in degree)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
No. of days
16
5
38
11
23
(v)
Temperature (in degree)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
No. of days
16
10
36
11
23
Question
18
18.
Temperatures of 119 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)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of days
43
32
16
16
8
(ii)
Temperature (in degree)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of days
43
36
16
16
8
(iii)
Temperature (in degree)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of days
43
16
36
16
8
(iv)
Temperature (in degree)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of days
43
36
18
16
8
(v)
Temperature (in degree)
26 - 34
35 - 43
44 - 52
53 - 61
62 - 70
No. of days
43
8
16
16
36
Question
19
19.
Weights of 162 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)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of students
21
20
24
16
47
29
(ii)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of students
21
20
24
21
47
29
(iii)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of students
21
29
24
21
47
20
(iv)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of students
21
24
20
21
47
29
(v)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
No. of students
21
20
21
21
47
29
Question
20
20.
Weights of 170 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 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
49
5
28
21
29
38
(ii)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
49
28
5
24
29
38
(iii)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
49
28
8
21
29
38
(iv)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
49
28
5
21
29
38
(v)
Weight (in kg)
59 - 69
70 - 80
81 - 91
92 - 102
103 - 113
114 - 124
No. of students
49
38
5
21
29
28
Question
21
21.
Daily wages of 133 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)
209 - 216
216 - 223
223 - 230
230 - 237
237 - 244
No. of labourers
34
10
42
38
14
(ii)
Daily wage(in Rs)
209 - 216
216 - 223
223 - 230
230 - 237
237 - 244
No. of labourers
34
42
5
38
14
(iii)
Daily wage(in Rs)
209 - 216
216 - 223
223 - 230
230 - 237
237 - 244
No. of labourers
34
14
42
38
5
(iv)
Daily wage(in Rs)
209 - 216
216 - 223
223 - 230
230 - 237
237 - 244
No. of labourers
34
5
40
38
14
(v)
Daily wage(in Rs)
209 - 216
216 - 223
223 - 230
230 - 237
237 - 244
No. of labourers
34
5
42
38
14
Question
22
22.
Daily wages of 181 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)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
327 - 333
No. of labourers
8
13
24
39
31
35
26
(ii)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
327 - 333
No. of labourers
8
13
24
44
31
35
26
(iii)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
327 - 333
No. of labourers
8
26
24
44
31
35
13
(iv)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
327 - 333
No. of labourers
8
13
20
44
31
35
26
(v)
Daily wage(in Rs)
285 - 291
292 - 298
299 - 305
306 - 312
313 - 319
320 - 326
327 - 333
No. of labourers
8
24
13
44
31
35
26
Assignment Key
1) (i)
2) (ii)
3) (iii)
4) (v)
5) (ii)
6) (iii)
7) (iii)
8) (iii)
9) (i)
10) (iv)
11) (i)
12) (i)
13) (v)
14) (iv)
15) (v)
16) (iii)
17) (i)
18) (ii)
19) (ii)
20) (iv)
21) (v)
22) (ii)
