EduSahara™ Assignment
Name : Histogram and Frequency Polygon on the same Graph
Chapter : Graphical Representation of Statistical Data
Grade : ICSE 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
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
42
40
17
42
35
59
27
17
(ii)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
42
17
42
17
35
59
27
40
(iii)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
42
40
42
17
32
59
27
17
(iv)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
42
40
45
17
35
59
27
17
(v)
Class-Interval
22 - 27
27 - 32
32 - 37
37 - 42
42 - 47
47 - 52
52 - 57
57 - 62
Frequency
42
40
42
17
35
59
27
17
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)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of doctors
15
45
30
25
42
45
17
47
(ii)
Age (in years)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of doctors
15
47
27
25
42
45
17
45
(iii)
Age (in years)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of doctors
15
47
30
25
42
45
17
45
(iv)
Age (in years)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of doctors
15
47
30
25
38
45
17
45
(v)
Age (in years)
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
No. of doctors
15
47
25
30
42
45
17
45
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)
200 - 206
206 - 212
212 - 218
218 - 224
224 - 230
230 - 236
No. of weeks
10
9
7
7
9
7
(ii)
Cost of living index (in rupees)
200 - 206
206 - 212
212 - 218
218 - 224
224 - 230
230 - 236
No. of weeks
10
7
7
12
9
9
(iii)
Cost of living index (in rupees)
200 - 206
206 - 212
212 - 218
218 - 224
224 - 230
230 - 236
No. of weeks
10
7
7
7
9
9
(iv)
Cost of living index (in rupees)
200 - 206
206 - 212
212 - 218
218 - 224
224 - 230
230 - 236
No. of weeks
10
7
11
7
9
9
Question
4
4.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Class-Interval
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
45
13
54
66
84
(ii)
Class-Interval
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
45
54
13
66
84
(iii)
Class-Interval
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
45
84
54
66
13
(iv)
Class-Interval
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
45
10
54
66
84
(v)
Class-Interval
37 - 45
46 - 54
55 - 63
64 - 72
73 - 81
Frequency
45
13
52
66
84
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)
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of doctors
34
47
41
40
46
(ii)
Age (in years)
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of doctors
34
41
46
40
47
(iii)
Age (in years)
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of doctors
34
51
41
40
47
(iv)
Age (in years)
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of doctors
34
46
41
40
47
(v)
Age (in years)
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
No. of doctors
34
46
36
40
47
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)
183 - 190
191 - 198
199 - 206
207 - 214
215 - 222
No. of weeks
7
5
9
9
7
(ii)
Cost of living index (in rupees)
183 - 190
191 - 198
199 - 206
207 - 214
215 - 222
No. of weeks
7
10
9
9
7
(iii)
Cost of living index (in rupees)
183 - 190
191 - 198
199 - 206
207 - 214
215 - 222
No. of weeks
7
9
10
9
7
(iv)
Cost of living index (in rupees)
183 - 190
191 - 198
199 - 206
207 - 214
215 - 222
No. of weeks
7
7
9
9
10
(v)
Cost of living index (in rupees)
183 - 190
191 - 198
199 - 206
207 - 214
215 - 222
No. of weeks
7
10
11
9
7
Question
7
7.
Heights of 205 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)
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
155 - 160
No. of students
35
38
33
32
34
30
(ii)
Height (in cm)
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
155 - 160
No. of students
35
30
33
35
34
38
(iii)
Height (in cm)
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
155 - 160
No. of students
35
33
38
35
34
30
(iv)
Height (in cm)
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
155 - 160
No. of students
35
38
36
35
34
30
(v)
Height (in cm)
130 - 135
135 - 140
140 - 145
145 - 150
150 - 155
155 - 160
No. of students
35
38
33
35
34
30
Question
8
8.
Heights of 243 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 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
50
19
31
46
49
45
(ii)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
50
19
31
49
49
45
(iii)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
50
19
34
49
49
45
(iv)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
50
45
31
49
49
19
(v)
Height (in cm)
120 - 125
126 - 131
132 - 137
138 - 143
144 - 149
150 - 155
No. of students
50
31
19
49
49
45
Question
9
9.
Heights of 197 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 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
45
23
46
20
17
42
(ii)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
45
42
46
24
17
23
(iii)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
45
23
44
24
17
42
(iv)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
45
46
23
24
17
42
(v)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
45
23
46
24
17
42
Question
10
10.
Heights of 101 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)
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
95 - 102
No. of plants
30
19
6
10
7
29
(ii)
Height (in cm)
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
95 - 102
No. of plants
30
6
19
10
7
29
(iii)
Height (in cm)
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
95 - 102
No. of plants
30
6
19
6
7
29
(iv)
Height (in cm)
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
95 - 102
No. of plants
30
6
17
10
7
29
(v)
Height (in cm)
55 - 62
63 - 70
71 - 78
79 - 86
87 - 94
95 - 102
No. of plants
30
29
19
10
7
6
Question
11
11.
Ages of 159 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
No. of students
7
38
24
48
38
(ii)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
No. of students
7
42
27
48
38
(iii)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
No. of students
7
38
24
48
42
(iv)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
No. of students
7
24
42
48
38
(v)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
No. of students
7
42
24
48
38
Question
12
12.
Ages of 207 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 - 19
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of students
27
7
7
36
44
39
43
(ii)
Age (in years)
13 - 19
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of students
27
7
7
40
44
39
43
(iii)
Age (in years)
13 - 19
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of students
27
7
11
40
44
39
43
(iv)
Age (in years)
13 - 19
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of students
27
43
7
40
44
39
7
Question
13
13.
Scores of 238 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
131 - 141
141 - 151
No. of students
13
47
8
20
20
42
47
41
(ii)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
131 - 141
141 - 151
No. of students
13
47
20
8
23
42
47
41
(iii)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
131 - 141
141 - 151
No. of students
13
47
20
8
20
42
47
41
(iv)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
131 - 141
141 - 151
No. of students
13
41
20
8
20
42
47
47
(v)
Score
71 - 81
81 - 91
91 - 101
101 - 111
111 - 121
121 - 131
131 - 141
141 - 151
No. of students
13
47
16
8
20
42
47
41
Question
14
14.
Scores of 170 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
141 - 149
No. of students
16
18
24
22
13
47
30
(ii)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
141 - 149
No. of students
16
24
30
22
13
47
18
(iii)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
141 - 149
No. of students
16
30
24
17
13
47
18
(iv)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
141 - 149
No. of students
16
30
27
22
13
47
18
(v)
Score
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
141 - 149
No. of students
16
30
24
22
13
47
18
Question
15
15.
Rainfall of 241 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)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
49
39
39
43
24
47
(ii)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
49
47
39
43
24
39
(iii)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
49
39
39
40
24
47
(iv)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
49
39
35
43
24
47
Question
16
16.
Rainfall of 292 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)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
41
32
19
23
39
50
38
47
(ii)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
41
47
19
23
42
50
38
32
(iii)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
41
32
15
23
42
50
38
47
(iv)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
41
32
23
19
42
50
38
47
(v)
Rainfall (in mm)
9 - 18
19 - 28
29 - 38
39 - 48
49 - 58
59 - 68
69 - 78
79 - 88
No. of days
41
32
19
23
42
50
38
47
Question
17
17.
Temperatures of 145 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 - 42
42 - 50
50 - 58
58 - 66
66 - 74
No. of days
26
42
21
21
35
(ii)
Temperature (in degree)
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
No. of days
26
35
21
21
42
(iii)
Temperature (in degree)
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
No. of days
26
21
42
21
35
(iv)
Temperature (in degree)
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
No. of days
26
42
23
21
35
(v)
Temperature (in degree)
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
No. of days
26
38
21
21
35
Question
18
18.
Temperatures of 190 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)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
19
28
30
47
5
23
38
(ii)
Temperature (in degree)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
19
30
28
47
5
23
38
(iii)
Temperature (in degree)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
19
28
32
47
5
23
38
(iv)
Temperature (in degree)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
19
28
30
51
5
23
38
(v)
Temperature (in degree)
29 - 34
35 - 40
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of days
19
38
30
47
5
23
28
Question
19
19.
Weights of 174 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)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
26
13
48
42
8
10
25
(ii)
Weight (in kg)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
26
48
13
44
8
10
25
(iii)
Weight (in kg)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
26
25
48
44
8
10
13
(iv)
Weight (in kg)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
26
13
52
44
8
10
25
(v)
Weight (in kg)
50 - 57
57 - 64
64 - 71
71 - 78
78 - 85
85 - 92
92 - 99
No. of students
26
13
48
44
8
10
25
Question
20
20.
Weights of 171 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)
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
No. of students
41
32
36
18
40
(ii)
Weight (in kg)
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
No. of students
41
40
36
18
36
(iii)
Weight (in kg)
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
No. of students
41
36
36
18
40
(iv)
Weight (in kg)
60 - 65
66 - 71
72 - 77
78 - 83
84 - 89
No. of students
41
36
38
18
40
Question
21
21.
Daily wages of 170 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)
202 - 210
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
No. of labourers
10
50
32
18
13
8
39
(ii)
Daily wage(in Rs)
202 - 210
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
No. of labourers
10
50
37
18
13
8
39
(iii)
Daily wage(in Rs)
202 - 210
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
No. of labourers
10
50
32
23
13
8
39
(iv)
Daily wage(in Rs)
202 - 210
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
No. of labourers
10
32
50
18
13
8
39
(v)
Daily wage(in Rs)
202 - 210
210 - 218
218 - 226
226 - 234
234 - 242
242 - 250
250 - 258
No. of labourers
10
39
32
18
13
8
50
Question
22
22.
Daily wages of 226 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)
246 - 255
256 - 265
266 - 275
276 - 285
286 - 295
296 - 305
306 - 315
316 - 325
No. of labourers
38
24
37
42
13
21
21
34
(ii)
Daily wage(in Rs)
246 - 255
256 - 265
266 - 275
276 - 285
286 - 295
296 - 305
306 - 315
316 - 325
No. of labourers
38
34
37
42
9
21
21
24
(iii)
Daily wage(in Rs)
246 - 255
256 - 265
266 - 275
276 - 285
286 - 295
296 - 305
306 - 315
316 - 325
No. of labourers
38
24
32
42
9
21
21
34
(iv)
Daily wage(in Rs)
246 - 255
256 - 265
266 - 275
276 - 285
286 - 295
296 - 305
306 - 315
316 - 325
No. of labourers
38
24
37
42
9
21
21
34
(v)
Daily wage(in Rs)
246 - 255
256 - 265
266 - 275
276 - 285
286 - 295
296 - 305
306 - 315
316 - 325
No. of labourers
38
24
42
37
9
21
21
34
Assignment Key
1) (v)
2) (iii)
3) (iii)
4) (i)
5) (iv)
6) (ii)
7) (v)
8) (ii)
9) (v)
10) (ii)
11) (v)
12) (ii)
13) (iii)
14) (v)
15) (i)
16) (v)
17) (i)
18) (i)
19) (v)
20) (iii)
21) (i)
22) (iv)