EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
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)
200 - 220
221 - 241
242 - 262
263 - 283
284 - 304
305 - 325
Labourers
18
12
3
16
1
11
(i)
Wages (in rupees)
Cumulative Frequency
200 - 220
18
221 - 241
30
242 - 262
33
263 - 283
51
284 - 304
52
305 - 325
63
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 220
18
221 - 241
29
242 - 262
32
263 - 283
48
284 - 304
49
305 - 325
61
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 220
18
221 - 241
30
242 - 262
33
263 - 283
49
284 - 304
50
305 - 325
61
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 220
18
221 - 241
21
242 - 262
33
263 - 283
49
284 - 304
50
305 - 325
61
(v)
Wages (in rupees)
Cumulative Frequency
200 - 220
18
221 - 241
30
242 - 262
36
263 - 283
52
284 - 304
53
305 - 325
64
Question
2
2.
Temperatures of 114 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
No. of days
12
12
19
18
18
6
11
20
(ii)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
No. of days
12
20
17
18
18
6
11
12
(iii)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
No. of days
12
12
17
18
14
6
11
20
(iv)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
No. of days
12
12
17
18
18
6
11
20
(v)
Temperature (in degree)
31 - 40
40 - 49
49 - 58
58 - 67
67 - 76
76 - 85
85 - 94
94 - 103
No. of days
12
12
18
17
18
6
11
20
Question
3
3.
Daily wages of 177 labourers (in ₹) are given below.
Identify the class interval table for the given histogram.
(i)
Daily wage (in Rs)
204 - 213
214 - 223
224 - 233
234 - 243
244 - 253
254 - 263
No. of labourers
41
28
9
7
48
44
(ii)
Daily wage (in Rs)
204 - 213
214 - 223
224 - 233
234 - 243
244 - 253
254 - 263
No. of labourers
41
9
25
7
48
44
(iii)
Daily wage (in Rs)
204 - 213
214 - 223
224 - 233
234 - 243
244 - 253
254 - 263
No. of labourers
41
9
28
12
48
44
(iv)
Daily wage (in Rs)
204 - 213
214 - 223
224 - 233
234 - 243
244 - 253
254 - 263
No. of labourers
41
44
28
7
48
9
(v)
Daily wage (in Rs)
204 - 213
214 - 223
224 - 233
234 - 243
244 - 253
254 - 263
No. of labourers
41
9
28
7
48
44
Question
4
4.
The daily pocket expenses of 87 students in a school are given below.
Identify the class interval table for the given frequency polygon.
(i)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
11
14
24
12
26
(ii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
11
9
24
12
26
(iii)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
11
24
14
12
26
(iv)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
11
26
24
12
14
(v)
Pocket expense (in rupees)
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
No. of students
11
14
28
12
26
Question
5
5.
Daily wages of 71 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
No. of labourers
14
13
9
5
9
7
14
(ii)
Daily wage (in Rs)
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
No. of labourers
14
14
9
5
9
7
13
(iii)
Daily wage (in Rs)
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
No. of labourers
14
9
13
5
9
7
14
(iv)
Daily wage (in Rs)
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
No. of labourers
14
13
4
5
9
7
14
(v)
Daily wage (in Rs)
270 - 279
280 - 289
290 - 299
300 - 309
310 - 319
320 - 329
330 - 339
No. of labourers
14
13
9
10
9
7
14
Question
6
6.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
35 - 40
15
40 - 45
25
45 - 50
32
50 - 55
37
55 - 60
49
(i)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
15
7
10
5
12
(ii)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
15
10
3
5
12
(iii)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
15
12
7
5
12
(iv)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
15
10
7
5
12
(v)
Class-Interval
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
15
12
7
5
10
Question
7
7.
Ages of 98 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of students
5
18
7
12
11
10
16
19
(ii)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of students
5
18
12
7
13
10
16
19
(iii)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of students
5
18
16
7
11
10
16
19
(iv)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of students
5
19
12
7
11
10
16
18
(v)
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
34 - 39
40 - 45
46 - 51
52 - 57
No. of students
5
18
12
7
11
10
16
19
Question
8
8.
Scores of 104 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
6
17
9
11
11
18
13
19
(ii)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
6
17
11
9
11
18
13
19
(iii)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
6
19
9
11
11
18
13
17
(iv)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
6
17
5
11
11
18
13
19
(v)
Score
90 - 97
97 - 104
104 - 111
111 - 118
118 - 125
125 - 132
132 - 139
139 - 146
No. of students
6
17
9
11
8
18
13
19
Question
9
9.
Greater than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
upper boundaries of classes and greater than cumulative frequencies
(iii)
lower boundaries of classes and greater than cumulative frequencies
(iv)
mid values of classes and greater than cumulative frequencies
Question
10
10.
Daily wages of 180 labourers (in ₹) are given below. Identify the class mark table for the given histogram.
(i)
Daily wage (in Rs)
260
267
274
281
288
295
302
309
No. of labourers
24
44
27
5
47
5
26
6
(ii)
Daily wage (in Rs)
260
267
274
281
288
295
302
309
No. of labourers
24
6
27
5
43
5
26
44
(iii)
Daily wage (in Rs)
260
267
274
281
288
295
302
309
No. of labourers
24
44
27
5
43
5
26
6
(iv)
Daily wage (in Rs)
260
267
274
281
288
295
302
309
No. of labourers
24
44
5
27
43
5
26
6
(v)
Daily wage (in Rs)
260
267
274
281
288
295
302
309
No. of labourers
24
44
23
5
43
5
26
6
Question
11
11.
Heights of 230 students (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
177 - 184
No. of students
37
12
13
49
28
49
10
32
(ii)
Height (in cm)
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
177 - 184
No. of students
37
32
13
49
33
49
10
12
(iii)
Height (in cm)
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
177 - 184
No. of students
37
32
13
49
28
49
10
12
(iv)
Height (in cm)
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
177 - 184
No. of students
37
32
49
13
28
49
10
12
(v)
Height (in cm)
128 - 135
135 - 142
142 - 149
149 - 156
156 - 163
163 - 170
170 - 177
177 - 184
No. of students
37
32
18
49
28
49
10
12
Question
12
12.
Identify the cumulative frequency of the given grouped data.
class interval
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
frequency
21
21
10
8
9
15
(i)
class interval
Cumulative Frequency
10 - 19
21
19 - 28
42
28 - 37
49
37 - 46
57
46 - 55
66
55 - 64
81
(ii)
class interval
Cumulative Frequency
10 - 19
21
19 - 28
42
28 - 37
52
37 - 46
60
46 - 55
69
55 - 64
84
(iii)
class interval
Cumulative Frequency
10 - 19
21
19 - 28
36
28 - 37
46
37 - 46
54
46 - 55
63
55 - 64
84
(iv)
class interval
Cumulative Frequency
10 - 19
21
19 - 28
42
28 - 37
52
37 - 46
63
46 - 55
72
55 - 64
87
(v)
class interval
Cumulative Frequency
10 - 19
21
19 - 28
31
28 - 37
52
37 - 46
60
46 - 55
69
55 - 64
84
Question
13
13.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
12 - 16
90
16 - 20
79
20 - 24
64
24 - 28
53
28 - 32
45
32 - 36
36
36 - 40
20
40 - 44
9
(i)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
Frequency
11
9
11
8
9
16
11
15
(ii)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
Frequency
11
15
8
11
9
16
11
9
(iii)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
Frequency
11
15
11
8
4
16
11
9
(iv)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
Frequency
11
15
14
8
9
16
11
9
(v)
Class-Interval
12 - 16
16 - 20
20 - 24
24 - 28
28 - 32
32 - 36
36 - 40
40 - 44
Frequency
11
15
11
8
9
16
11
9
Question
14
14.
Ages of 116 students (in years) are given below. Identify the class mark table for the given histogram.
(i)
Age (in years)
12.5
17.5
22.5
27.5
32.5
No. of students
25
13
25
10
41
(ii)
Age (in years)
12.5
17.5
22.5
27.5
32.5
No. of students
25
41
27
10
13
(iii)
Age (in years)
12.5
17.5
22.5
27.5
32.5
No. of students
25
27
13
10
41
(iv)
Age (in years)
12.5
17.5
22.5
27.5
32.5
No. of students
25
17
27
10
41
(v)
Age (in years)
12.5
17.5
22.5
27.5
32.5
No. of students
25
13
27
10
41
Question
15
15.
Temperatures of 141 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
No. of days
31
5
43
22
40
(ii)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
No. of days
31
45
5
22
40
(iii)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
No. of days
31
43
10
22
40
(iv)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
No. of days
31
40
5
22
43
(v)
Temperature (in degree)
28 - 37
38 - 47
48 - 57
58 - 67
68 - 77
No. of days
31
43
5
22
40
Question
16
16.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
19
7
1
19
8
7
1
11
(ii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
11
7
5
10
13
17
20
20
(iii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
3
11
13
6
9
11
8
12
(iv)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
16
1
3
2
13
12
8
9
(v)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
20
17
17
7
8
13
15
7
Question
17
17.
Weights of 175 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)
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
No. of students
38
28
44
18
41
6
(ii)
Weight (in kg)
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
No. of students
38
44
28
13
41
6
(iii)
Weight (in kg)
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
No. of students
38
44
28
18
41
6
(iv)
Weight (in kg)
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
No. of students
38
6
28
18
41
44
(v)
Weight (in kg)
46 - 55
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
No. of students
38
44
26
18
41
6
Question
18
18.
A histogram consists of
(i)
squares
(ii)
rectangles
(iii)
sectors
(iv)
triangles
Question
19
19.
Daily wages of 170 labourers (in ₹) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Daily wage (in Rs)
203 - 212
213 - 222
223 - 232
233 - 242
243 - 252
253 - 262
No. of labourers
46
27
20
24
21
30
(ii)
Daily wage (in Rs)
203 - 212
213 - 222
223 - 232
233 - 242
243 - 252
253 - 262
No. of labourers
46
27
23
26
21
30
(iii)
Daily wage (in Rs)
203 - 212
213 - 222
223 - 232
233 - 242
243 - 252
253 - 262
No. of labourers
46
20
27
26
21
30
(iv)
Daily wage (in Rs)
203 - 212
213 - 222
223 - 232
233 - 242
243 - 252
253 - 262
No. of labourers
46
27
20
26
21
30
(v)
Daily wage (in Rs)
203 - 212
213 - 222
223 - 232
233 - 242
243 - 252
253 - 262
No. of labourers
46
30
20
26
21
27
Question
20
20.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
1
-
10
as the first class,
then the observation
24
falls in which class?
(i)
18
-
27
(ii)
18.5
-
28.5
(iii)
20
-
29
(iv)
19
-
28
(v)
19.5
-
27.5
Question
21
21.
Rainfall of 140 days (in mm) are given below.
Identify the class interval table for the given histogram.
(i)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
31
8
5
41
13
42
(ii)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
31
8
5
39
13
42
(iii)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
31
8
7
41
13
42
(iv)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
31
42
5
41
13
8
(v)
Rainfall (in mm)
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
No. of days
31
5
8
41
13
42
Question
22
22.
Less than cumulative curves are drawn using
(i)
lower boundaries of classes and greater than cumulative frequencies
(ii)
upper boundaries of classes and less than cumulative frequencies
(iii)
lower boundaries of classes and less than cumulative frequencies
(iv)
mid values of classes and less than cumulative frequencies
Question
23
23.
Temperatures of 149 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
17
21
40
17
24
30
(ii)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
17
30
40
12
24
21
(iii)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
17
30
36
17
24
21
(iv)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
17
40
30
17
24
21
(v)
Temperature (in degree)
31 - 37
37 - 43
43 - 49
49 - 55
55 - 61
61 - 67
No. of days
17
30
40
17
24
21
Question
24
24.
Identify the class interval table for the given histogram.
(i)
Class-Interval
35 - 37
38 - 40
41 - 43
44 - 46
47 - 49
50 - 52
Frequency
87
24
33
99
125
86
(ii)
Class-Interval
35 - 37
38 - 40
41 - 43
44 - 46
47 - 49
50 - 52
Frequency
87
86
33
101
125
24
(iii)
Class-Interval
35 - 37
38 - 40
41 - 43
44 - 46
47 - 49
50 - 52
Frequency
87
86
31
99
125
24
(iv)
Class-Interval
35 - 37
38 - 40
41 - 43
44 - 46
47 - 49
50 - 52
Frequency
87
86
33
99
125
24
(v)
Class-Interval
35 - 37
38 - 40
41 - 43
44 - 46
47 - 49
50 - 52
Frequency
87
33
86
99
125
24
Question
25
25.
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 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
No. of doctors
39
29
17
17
22
11
32
(ii)
Age (in years)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
No. of doctors
39
32
21
17
22
11
29
(iii)
Age (in years)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
No. of doctors
39
29
21
17
22
11
32
(iv)
Age (in years)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
No. of doctors
39
29
21
22
22
11
32
(v)
Age (in years)
34 - 44
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
No. of doctors
39
21
29
17
22
11
32
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (i)
5) (i)
6) (iv)
7) (v)
8) (i)
9) (iii)
10) (iii)
11) (iii)
12) (ii)
13) (v)
14) (v)
15) (v)
16) (i)
17) (iii)
18) (ii)
19) (iv)
20) (iv)
21) (i)
22) (ii)
23) (v)
24) (iv)
25) (iii)