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
Frequency
20
57
42
66
46
77
67
(ii)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
Frequency
20
67
42
69
46
77
57
(iii)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
Frequency
20
67
42
66
46
77
57
(iv)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
Frequency
20
42
67
66
46
77
57
(v)
Class-Interval
32 - 41
41 - 50
50 - 59
59 - 68
68 - 77
77 - 86
86 - 95
Frequency
20
67
40
66
46
77
57
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)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of doctors
46
26
19
14
34
(ii)
Age (in years)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of doctors
46
31
19
14
26
(iii)
Age (in years)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of doctors
46
19
34
14
26
(iv)
Age (in years)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of doctors
46
34
19
14
26
(v)
Age (in years)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of doctors
46
34
17
14
26
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)
166 - 175
175 - 184
184 - 193
193 - 202
202 - 211
No. of weeks
10
9
6
8
6
(ii)
Cost of living index (in rupees)
166 - 175
175 - 184
184 - 193
193 - 202
202 - 211
No. of weeks
10
6
4
8
9
(iii)
Cost of living index (in rupees)
166 - 175
175 - 184
184 - 193
193 - 202
202 - 211
No. of weeks
10
2
6
8
9
(iv)
Cost of living index (in rupees)
166 - 175
175 - 184
184 - 193
193 - 202
202 - 211
No. of weeks
10
6
6
8
9
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
Frequency
32
67
68
38
82
72
80
20
(ii)
Class-Interval
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
Frequency
32
67
38
68
80
72
80
20
(iii)
Class-Interval
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
Frequency
32
20
68
38
80
72
80
67
(iv)
Class-Interval
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
Frequency
32
67
65
38
80
72
80
20
(v)
Class-Interval
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
Frequency
32
67
68
38
80
72
80
20
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)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of doctors
32
34
22
24
28
(ii)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of doctors
32
28
34
24
22
(iii)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of doctors
32
22
36
24
28
(iv)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of doctors
32
19
34
24
28
(v)
Age (in years)
26 - 33
34 - 41
42 - 49
50 - 57
58 - 65
No. of doctors
32
22
34
24
28
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)
169 - 178
179 - 188
189 - 198
199 - 208
209 - 218
No. of weeks
6
10
9
7
6
(ii)
Cost of living index (in rupees)
169 - 178
179 - 188
189 - 198
199 - 208
209 - 218
No. of weeks
6
10
14
7
6
(iii)
Cost of living index (in rupees)
169 - 178
179 - 188
189 - 198
199 - 208
209 - 218
No. of weeks
6
9
10
7
6
(iv)
Cost of living index (in rupees)
169 - 178
179 - 188
189 - 198
199 - 208
209 - 218
No. of weeks
6
6
9
7
10
(v)
Cost of living index (in rupees)
169 - 178
179 - 188
189 - 198
199 - 208
209 - 218
No. of weeks
6
5
9
7
6
Question
7
7.
Heights of 126 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 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
No. of students
5
13
44
14
15
40
(ii)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
No. of students
5
44
13
9
15
40
(iii)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
No. of students
5
13
44
9
15
40
(iv)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
No. of students
5
40
44
9
15
13
(v)
Height (in cm)
121 - 127
127 - 133
133 - 139
139 - 145
145 - 151
151 - 157
No. of students
5
13
46
9
15
40
Question
8
8.
Heights of 218 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)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
16
33
39
17
49
20
15
29
(ii)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
16
29
17
39
49
20
15
33
(iii)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
16
29
39
17
45
20
15
33
(iv)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
16
29
41
17
49
20
15
33
(v)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
16
29
39
17
49
20
15
33
Question
9
9.
Heights of 227 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)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
No. of plants
31
40
15
20
40
24
13
44
(ii)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
No. of plants
31
40
13
20
40
24
13
44
(iii)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
No. of plants
31
40
15
20
45
24
13
44
(iv)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
No. of plants
31
44
15
20
40
24
13
40
(v)
Height (in cm)
70 - 76
76 - 82
82 - 88
88 - 94
94 - 100
100 - 106
106 - 112
112 - 118
No. of plants
31
40
20
15
40
24
13
44
Question
10
10.
Heights of 221 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)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
13
50
45
19
49
18
24
(ii)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
13
48
50
19
49
18
24
(iii)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
13
50
48
17
49
18
24
(iv)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
13
50
48
19
49
18
24
(v)
Height (in cm)
58 - 64
65 - 71
72 - 78
79 - 85
86 - 92
93 - 99
100 - 106
No. of plants
13
24
48
19
49
18
50
Question
11
11.
Ages of 188 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)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of students
22
6
39
25
33
25
35
(ii)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of students
22
42
6
25
33
25
35
(iii)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of students
22
6
42
25
33
25
35
(iv)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of students
22
35
42
25
33
25
6
(v)
Age (in years)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
No. of students
22
6
42
21
33
25
35
Question
12
12.
Ages of 253 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)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of students
26
42
33
24
37
15
33
41
(ii)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of students
26
42
24
33
39
15
33
41
(iii)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of students
26
42
33
24
39
15
33
41
(iv)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of students
26
42
29
24
39
15
33
41
(v)
Age (in years)
19 - 25
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
No. of students
26
41
33
24
39
15
33
42
Question
13
13.
Scores of 227 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
48
43
47
19
38
32
(ii)
Score
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
48
32
47
19
38
43
(iii)
Score
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
48
43
52
19
38
32
(iv)
Score
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
48
47
43
19
38
32
(v)
Score
87 - 95
95 - 103
103 - 111
111 - 119
119 - 127
127 - 135
No. of students
48
43
47
22
38
32
Question
14
14.
Scores of 162 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
No. of students
10
15
6
7
41
43
35
10
(ii)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
No. of students
10
15
4
7
36
43
35
10
(iii)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
No. of students
10
15
6
7
36
43
35
10
(iv)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
No. of students
10
10
6
7
36
43
35
15
(v)
Score
71 - 77
78 - 84
85 - 91
92 - 98
99 - 105
106 - 112
113 - 119
120 - 126
No. of students
10
15
7
6
36
43
35
10
Question
15
15.
Rainfall of 153 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)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
No. of days
32
25
39
48
9
(ii)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
No. of days
32
39
25
48
9
(iii)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
No. of days
32
9
25
48
39
(iv)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
No. of days
32
44
25
48
9
(v)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
No. of days
32
39
20
48
9
Question
16
16.
Rainfall of 121 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 - 25
26 - 36
37 - 47
48 - 58
59 - 69
No. of days
33
8
34
28
21
(ii)
Rainfall (in mm)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
No. of days
33
8
31
28
21
(iii)
Rainfall (in mm)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
No. of days
33
31
8
28
21
(iv)
Rainfall (in mm)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
No. of days
33
4
31
28
21
(v)
Rainfall (in mm)
15 - 25
26 - 36
37 - 47
48 - 58
59 - 69
No. of days
33
21
31
28
8
Question
17
17.
Temperatures of 220 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 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
No. of days
26
45
16
40
42
43
8
(ii)
Temperature (in degree)
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
No. of days
26
8
16
40
42
43
45
(iii)
Temperature (in degree)
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
No. of days
26
8
16
45
42
43
45
(iv)
Temperature (in degree)
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
No. of days
26
16
8
40
42
43
45
(v)
Temperature (in degree)
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
No. of days
26
8
20
40
42
43
45
Question
18
18.
Temperatures of 252 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 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
10
47
35
22
25
32
43
42
(ii)
Temperature (in degree)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
10
42
31
22
25
32
43
47
(iii)
Temperature (in degree)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
10
47
22
31
25
32
43
42
(iv)
Temperature (in degree)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
10
47
31
22
30
32
43
42
(v)
Temperature (in degree)
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
No. of days
10
47
31
22
25
32
43
42
Question
19
19.
Weights of 240 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)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
32
37
47
35
47
42
(ii)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
32
42
47
38
47
37
(iii)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
32
42
47
35
47
37
(iv)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
32
42
43
35
47
37
(v)
Weight (in kg)
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
No. of students
32
47
42
35
47
37
Question
20
20.
Weights of 254 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)
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
109 - 119
120 - 130
131 - 141
No. of students
37
44
21
34
25
39
48
6
(ii)
Weight (in kg)
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
109 - 119
120 - 130
131 - 141
No. of students
37
44
23
34
25
39
48
6
(iii)
Weight (in kg)
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
109 - 119
120 - 130
131 - 141
No. of students
37
44
21
34
29
39
48
6
(iv)
Weight (in kg)
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
109 - 119
120 - 130
131 - 141
No. of students
37
6
21
34
25
39
48
44
(v)
Weight (in kg)
54 - 64
65 - 75
76 - 86
87 - 97
98 - 108
109 - 119
120 - 130
131 - 141
No. of students
37
44
34
21
25
39
48
6
Question
21
21.
Daily wages of 183 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)
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
19
49
26
45
31
8
(ii)
Daily wage(in Rs)
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
19
49
26
50
31
8
(iii)
Daily wage(in Rs)
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
19
49
24
50
31
8
(iv)
Daily wage(in Rs)
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
19
8
26
50
31
49
(v)
Daily wage(in Rs)
265 - 274
274 - 283
283 - 292
292 - 301
301 - 310
310 - 319
No. of labourers
19
26
49
50
31
8
Question
22
22.
Daily wages of 172 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)
292 - 297
298 - 303
304 - 309
310 - 315
316 - 321
322 - 327
No. of labourers
48
9
21
36
26
32
(ii)
Daily wage(in Rs)
292 - 297
298 - 303
304 - 309
310 - 315
316 - 321
322 - 327
No. of labourers
48
21
9
36
26
32
(iii)
Daily wage(in Rs)
292 - 297
298 - 303
304 - 309
310 - 315
316 - 321
322 - 327
No. of labourers
48
32
21
36
26
9
(iv)
Daily wage(in Rs)
292 - 297
298 - 303
304 - 309
310 - 315
316 - 321
322 - 327
No. of labourers
48
9
21
41
26
32
(v)
Daily wage(in Rs)
292 - 297
298 - 303
304 - 309
310 - 315
316 - 321
322 - 327
No. of labourers
48
9
16
36
26
32
Assignment Key
1) (iii)
2) (iv)
3) (iv)
4) (v)
5) (v)
6) (i)
7) (iii)
8) (v)
9) (i)
10) (iv)
11) (iii)
12) (iii)
13) (i)
14) (iii)
15) (ii)
16) (ii)
17) (ii)
18) (v)
19) (iii)
20) (i)
21) (ii)
22) (i)
