EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Ages of 291 students (in years) are given below.
Identify the class interval table for the given histogram.
(i)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
17
50
46
29
29
26
43
48
(ii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
17
50
49
29
26
26
43
48
(iii)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
17
48
49
29
29
26
43
50
(iv)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
17
50
29
49
29
26
43
48
(v)
Age (in years)
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of students
17
50
49
29
29
26
43
48
Question
2
2.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
Frequency
7
16
7
4
3
(ii)
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
Frequency
15
19
19
10
9
(iii)
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
Frequency
5
11
7
4
10
(iv)
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
Frequency
6
5
15
5
14
(v)
Class-Interval
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
Frequency
16
12
14
1
1
Question
3
3.
In a histogram
(i)
the length and width of each rectangle are in proportion
(ii)
the width of all rectangles are equal
(iii)
the lengths of all rectangles are equal
(iv)
the lengths and widths of all rectangles are equal
Question
4
4.
Heights of 152 students (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
No. of students
27
7
50
24
39
(ii)
Height (in cm)
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
No. of students
27
50
12
24
39
(iii)
Height (in cm)
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
No. of students
27
12
46
24
39
(iv)
Height (in cm)
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
No. of students
27
12
50
24
39
(v)
Height (in cm)
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
No. of students
27
39
50
24
12
Question
5
5.
Convert the inclusive form of the class interval 46 - 53 to exclusive form
(i)
45.5
-
53.5
(ii)
45
-
54
(iii)
45.5
-
54
(iv)
46
-
53
(v)
45
-
53.5
Question
6
6.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
29 - 38
9
38 - 47
23
47 - 56
33
56 - 65
44
65 - 74
58
74 - 83
70
83 - 92
77
92 - 101
89
(i)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
9
12
10
11
14
12
7
14
(ii)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
9
14
11
10
14
12
7
12
(iii)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
9
14
10
11
19
12
7
12
(iv)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
9
14
14
11
14
12
7
12
(v)
Class-Interval
29 - 38
38 - 47
47 - 56
56 - 65
65 - 74
74 - 83
83 - 92
92 - 101
Frequency
9
14
10
11
14
12
7
12
Question
7
7.
Rainfall of 204 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of days
41
5
45
36
12
13
43
11
(ii)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of days
41
11
43
36
12
13
43
5
(iii)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of days
41
5
43
36
16
13
43
11
(iv)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of days
41
5
43
36
12
13
43
11
(v)
Rainfall (in mm)
8 - 17
17 - 26
26 - 35
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
No. of days
41
5
36
43
12
13
43
11
Question
8
8.
Ages of 206 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 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
No. of students
14
16
53
24
25
37
42
(ii)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
No. of students
14
16
48
21
25
37
42
(iii)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
No. of students
14
42
48
24
25
37
16
(iv)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
No. of students
14
48
16
24
25
37
42
(v)
Age (in years)
13 - 22
22 - 31
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
No. of students
14
16
48
24
25
37
42
Question
9
9.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
54 - 57
57 - 60
60 - 63
63 - 66
66 - 69
69 - 72
No. of Patients
30
39
19
15
25
14
(ii)
Age (in years)
54 - 57
57 - 60
60 - 63
63 - 66
66 - 69
69 - 72
No. of Patients
30
19
36
15
25
14
(iii)
Age (in years)
54 - 57
57 - 60
60 - 63
63 - 66
66 - 69
69 - 72
No. of Patients
30
14
39
15
25
19
(iv)
Age (in years)
54 - 57
57 - 60
60 - 63
63 - 66
66 - 69
69 - 72
No. of Patients
30
19
39
15
25
14
(v)
Age (in years)
54 - 57
57 - 60
60 - 63
63 - 66
66 - 69
69 - 72
No. of Patients
30
19
39
20
25
14
Question
10
10.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 330
330 - 360
360 - 390
390 - 420
420 - 450
450 - 480
Labourers
12
13
3
6
3
6
(i)
Wages (in rupees)
Cumulative Frequency
300 - 330
12
330 - 360
18
360 - 390
21
390 - 420
27
420 - 450
30
450 - 480
43
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 330
12
330 - 360
25
360 - 390
33
390 - 420
39
420 - 450
42
450 - 480
48
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 330
12
330 - 360
25
360 - 390
28
390 - 420
30
420 - 450
33
450 - 480
39
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 330
12
330 - 360
25
360 - 390
28
390 - 420
34
420 - 450
37
450 - 480
43
(v)
Wages (in rupees)
Cumulative Frequency
300 - 330
12
330 - 360
15
360 - 390
28
390 - 420
34
420 - 450
37
450 - 480
43
Question
11
11.
During the medical check-up of 43 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 64 kg
Class-Interval
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
Frequency
10
8
9
11
5
(i)
26
(ii)
30
(iii)
25
(iv)
28
(v)
27
Question
12
12.
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 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
No. of doctors
13
17
13
11
14
48
44
(ii)
Age (in years)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
No. of doctors
13
13
12
11
14
48
44
(iii)
Age (in years)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
No. of doctors
13
44
17
11
14
48
13
(iv)
Age (in years)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
No. of doctors
13
13
17
9
14
48
44
(v)
Age (in years)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
No. of doctors
13
13
17
11
14
48
44
Question
13
13.
Daily wages of 237 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)
298 - 306
306 - 314
314 - 322
322 - 330
330 - 338
338 - 346
346 - 354
354 - 362
No. of labourers
39
29
33
21
22
20
41
27
(ii)
Daily wage(in Rs)
298 - 306
306 - 314
314 - 322
322 - 330
330 - 338
338 - 346
346 - 354
354 - 362
No. of labourers
39
27
33
21
27
20
41
29
(iii)
Daily wage(in Rs)
298 - 306
306 - 314
314 - 322
322 - 330
330 - 338
338 - 346
346 - 354
354 - 362
No. of labourers
39
29
33
21
27
20
41
27
(iv)
Daily wage(in Rs)
298 - 306
306 - 314
314 - 322
322 - 330
330 - 338
338 - 346
346 - 354
354 - 362
No. of labourers
39
29
38
21
27
20
41
27
(v)
Daily wage(in Rs)
298 - 306
306 - 314
314 - 322
322 - 330
330 - 338
338 - 346
346 - 354
354 - 362
No. of labourers
39
29
21
33
27
20
41
27
Question
14
14.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
41 - 49
5
49 - 57
24
57 - 65
3
65 - 73
13
73 - 81
x
(i)
72.5
-
81.5
(ii)
73
-
81.5
(iii)
73
-
81
(iv)
72.5
-
81
(v)
73.5
-
80.5
Question
15
15.
Heights of 194 students (in cm) are given below. Identify the class mark table for the given histogram.
(i)
Height (in cm)
130
136
142
148
154
160
166
No. of students
49
14
45
10
30
33
13
(ii)
Height (in cm)
130
136
142
148
154
160
166
No. of students
49
45
10
10
30
33
13
(iii)
Height (in cm)
130
136
142
148
154
160
166
No. of students
49
45
14
12
30
33
13
(iv)
Height (in cm)
130
136
142
148
154
160
166
No. of students
49
13
14
10
30
33
45
(v)
Height (in cm)
130
136
142
148
154
160
166
No. of students
49
45
14
10
30
33
13
Question
16
16.
Heights of 200 plants (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
41
16
20
42
45
38
(ii)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
41
16
18
38
45
38
(iii)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
41
18
16
42
45
38
(iv)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
41
38
18
42
45
16
(v)
Height (in cm)
63 - 71
71 - 79
79 - 87
87 - 95
95 - 103
103 - 111
No. of plants
41
16
18
42
45
38
Question
17
17.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
12 - 16
17 - 21
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
47 - 51
Frequency
44
35
26
42
50
25
43
22
(ii)
Class-Interval
12 - 16
17 - 21
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
47 - 51
Frequency
44
35
21
42
50
25
43
22
(iii)
Class-Interval
12 - 16
17 - 21
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
47 - 51
Frequency
44
35
26
42
45
25
43
22
(iv)
Class-Interval
12 - 16
17 - 21
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
47 - 51
Frequency
44
35
42
26
50
25
43
22
(v)
Class-Interval
12 - 16
17 - 21
22 - 26
27 - 31
32 - 36
37 - 41
42 - 46
47 - 51
Frequency
44
22
26
42
50
25
43
35
Question
18
18.
Scores of 135 students are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Score
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
137 - 146
146 - 155
No. of students
5
19
16
26
40
7
17
5
(ii)
Score
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
137 - 146
146 - 155
No. of students
5
19
12
26
40
7
17
5
(iii)
Score
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
137 - 146
146 - 155
No. of students
5
5
16
26
40
7
17
19
(iv)
Score
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
137 - 146
146 - 155
No. of students
5
19
16
26
43
7
17
5
(v)
Score
83 - 92
92 - 101
101 - 110
110 - 119
119 - 128
128 - 137
137 - 146
146 - 155
No. of students
5
19
26
16
40
7
17
5
Question
19
19.
Daily wages of 144 labourers (in ₹) are given below. Identify the class mark table for the given histogram.
(i)
Daily wage (in Rs)
255
265
275
285
295
305
No. of labourers
9
17
46
32
14
22
(ii)
Daily wage (in Rs)
255
265
275
285
295
305
No. of labourers
9
22
50
32
14
17
(iii)
Daily wage (in Rs)
255
265
275
285
295
305
No. of labourers
9
50
17
32
14
22
(iv)
Daily wage (in Rs)
255
265
275
285
295
305
No. of labourers
9
17
50
28
14
22
(v)
Daily wage (in Rs)
255
265
275
285
295
305
No. of labourers
9
17
50
32
14
22
Question
20
20.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
47 - 51
51 - 55
55 - 59
59 - 63
63 - 67
67 - 71
71 - 75
Frequency
39
47
44
26
40
18
13
(ii)
Class-Interval
47 - 51
51 - 55
55 - 59
59 - 63
63 - 67
67 - 71
71 - 75
Frequency
39
13
44
26
40
18
47
(iii)
Class-Interval
47 - 51
51 - 55
55 - 59
59 - 63
63 - 67
67 - 71
71 - 75
Frequency
39
44
47
26
40
18
13
(iv)
Class-Interval
47 - 51
51 - 55
55 - 59
59 - 63
63 - 67
67 - 71
71 - 75
Frequency
39
47
44
24
40
18
13
(v)
Class-Interval
47 - 51
51 - 55
55 - 59
59 - 63
63 - 67
67 - 71
71 - 75
Frequency
39
47
41
26
40
18
13
Question
21
21.
Scores of 180 students are given below.
Identify the class interval table for the given frequency polygon.
(i)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
46
6
43
10
9
21
(ii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
6
21
43
10
9
46
(iii)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
21
6
43
10
9
46
(iv)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
21
11
43
10
9
46
(v)
Score
71 - 78
79 - 86
87 - 94
95 - 102
103 - 110
111 - 118
119 - 126
No. of students
45
21
6
46
10
9
46
Question
22
22.
Scores of 86 students are given below.
Identify the class interval table for the given histogram.
(i)
Score
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
No. of students
17
27
10
7
11
14
(ii)
Score
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
No. of students
17
14
27
7
11
10
(iii)
Score
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
No. of students
17
10
27
7
11
14
(iv)
Score
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
No. of students
17
10
27
11
11
14
(v)
Score
79 - 84
85 - 90
91 - 96
97 - 102
103 - 108
109 - 114
No. of students
17
10
25
7
11
14
Question
23
23.
The lower limit of the class with frequency x is
Class-Interval
Frequency
50 - 56
15
57 - 63
3
64 - 70
28
71 - 77
3
78 - 84
x
(i)
80
(ii)
78
(iii)
77
(iv)
76
(v)
79
Question
24
24.
Daily wages of 171 labourers (in ₹) are given below.
Identify the class interval table for the given histogram.
(i)
Daily wage (in Rs)
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
311 - 316
316 - 321
No. of labourers
18
44
7
14
24
28
13
23
(ii)
Daily wage (in Rs)
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
311 - 316
316 - 321
No. of labourers
18
44
19
7
24
28
13
23
(iii)
Daily wage (in Rs)
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
311 - 316
316 - 321
No. of labourers
18
23
14
7
24
28
13
44
(iv)
Daily wage (in Rs)
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
311 - 316
316 - 321
No. of labourers
18
44
14
7
24
28
13
23
(v)
Daily wage (in Rs)
281 - 286
286 - 291
291 - 296
296 - 301
301 - 306
306 - 311
311 - 316
316 - 321
No. of labourers
18
44
14
7
27
28
13
23
Question
25
25.
Identify the cumulative frequency of the given grouped data.
class interval
13 - 19
19 - 25
25 - 31
31 - 37
frequency
9
20
9
5
(i)
class interval
Cumulative Frequency
13 - 19
9
19 - 25
31
25 - 31
40
31 - 37
45
(ii)
class interval
Cumulative Frequency
13 - 19
5
19 - 25
25
25 - 31
34
31 - 37
43
(iii)
class interval
Cumulative Frequency
13 - 19
9
19 - 25
18
25 - 31
38
31 - 37
43
(iv)
class interval
Cumulative Frequency
13 - 19
9
19 - 25
29
25 - 31
35
31 - 37
40
(v)
class interval
Cumulative Frequency
13 - 19
9
19 - 25
29
25 - 31
38
31 - 37
43
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (iv)
5) (i)
6) (v)
7) (iv)
8) (v)
9) (iv)
10) (iv)
11) (v)
12) (v)
13) (iii)
14) (iii)
15) (v)
16) (v)
17) (i)
18) (i)
19) (v)
20) (i)
21) (iii)
22) (iii)
23) (ii)
24) (iv)
25) (v)