EduSahara™ Assignment
Name : Constructing Class Interval Tables
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The marks obtained by
19
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in inclusive form
taking class size
6
.
63
49
67
45
53
61
70
57
66
78
40
55
71
59
42
51
42
62
76
(i)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
4
3
2
4
2
2
2
(ii)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
4
2
3
9
2
2
2
(iii)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
4
2
8
4
2
2
2
(iv)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
4
2
3
4
2
2
2
Question
2
2.
The marks obtained by
20
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
6
.
69
53
64
59
63
61
42
47
64
53
40
48
68
56
47
55
77
46
52
41
(i)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
3
4
5
7
4
0
1
(ii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
3
4
8
3
4
0
1
(iii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
3
4
5
3
4
0
1
(iv)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
3
1
5
3
4
0
4
(v)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
3
5
4
3
4
0
1
Question
3
3.
The marks obtained by
18
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
5
.
64
62
73
74
51
54
48
70
59
42
60
44
68
64
73
56
70
50
(i)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
No. of Students
2
3
6
2
3
3
3
(ii)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
No. of Students
2
3
2
2
3
3
3
(iii)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
No. of Students
2
3
2
5
3
3
3
(iv)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
No. of Students
2
2
3
2
3
3
3
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
16
students, taking class size
3
.
12
19
10
25
10
20
22
21
19
17
10
14
17
22
18
22
(i)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
1
3
4
3
1
(ii)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
3
1
4
3
1
(iii)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
1
6
4
3
1
(iv)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
1
3
2
3
1
Question
5
5.
The daily wages (in rupees) of
17
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in inclusive form
taking class size
20
.
227
275
295
204
285
292
268
206
229
286
277
295
283
223
244
210
296
(i)
Wages (in rupees)
204 - 223
224 - 243
244 - 263
264 - 283
284 - 303
No. of Workers
4
2
1
4
6
(ii)
Wages (in rupees)
204 - 223
224 - 243
244 - 263
264 - 283
284 - 303
No. of Workers
4
1
2
4
6
(iii)
Wages (in rupees)
204 - 223
224 - 243
244 - 263
264 - 283
284 - 303
No. of Workers
4
2
3
4
6
(iv)
Wages (in rupees)
204 - 223
224 - 243
244 - 263
264 - 283
284 - 303
No. of Workers
4
6
1
4
6
(v)
Wages (in rupees)
204 - 223
224 - 243
244 - 263
264 - 283
284 - 303
No. of Workers
4
6
1
4
2
Question
6
6.
The daily wages (in rupees) of
18
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
30
.
279
210
286
248
261
221
266
267
256
294
271
215
280
289
294
218
254
208
(i)
Wages (in rupees)
208 - 238
238 - 268
268 - 298
No. of Workers
7
6
5
(ii)
Wages (in rupees)
208 - 238
238 - 268
268 - 298
No. of Workers
5
4
7
(iii)
Wages (in rupees)
208 - 238
238 - 268
268 - 298
No. of Workers
5
10
7
(iv)
Wages (in rupees)
208 - 238
238 - 268
268 - 298
No. of Workers
6
5
7
(v)
Wages (in rupees)
208 - 238
238 - 268
268 - 298
No. of Workers
5
6
7
Question
7
7.
The weights (in gm) of
17
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
40
.
276
388
240
396
225
367
206
298
260
290
386
289
344
323
260
259
388
(i)
Weight (in gm)
206 - 245
246 - 285
286 - 325
326 - 365
366 - 405
No. of Fruits
3
5
4
1
4
(ii)
Weight (in gm)
206 - 245
246 - 285
286 - 325
326 - 365
366 - 405
No. of Fruits
3
4
4
1
5
(iii)
Weight (in gm)
206 - 245
246 - 285
286 - 325
326 - 365
366 - 405
No. of Fruits
3
7
4
1
5
(iv)
Weight (in gm)
206 - 245
246 - 285
286 - 325
326 - 365
366 - 405
No. of Fruits
3
4
9
1
5
Question
8
8.
The weights (in gm) of
16
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
50
.
344
216
267
300
233
390
347
227
280
356
389
314
213
221
249
333
(i)
Weight (in gm)
213 - 263
263 - 313
313 - 363
363 - 413
No. of Fruits
6
3
2
2
(ii)
Weight (in gm)
213 - 263
263 - 313
313 - 363
363 - 413
No. of Fruits
2
3
5
6
(iii)
Weight (in gm)
213 - 263
263 - 313
313 - 363
363 - 413
No. of Fruits
6
3
5
2
(iv)
Weight (in gm)
213 - 263
263 - 313
313 - 363
363 - 413
No. of Fruits
6
7
5
2
(v)
Weight (in gm)
213 - 263
263 - 313
313 - 363
363 - 413
No. of Fruits
6
5
3
2
Question
9
9.
Given the sample data, prepare the class interval table in
inclusive
form with
4
as min value and a class size of
7
.
46
48
4
47
15
17
6
42
42
37
37
45
15
28
36
46
34
28
48
(i)
Class-Interval
4 - 10
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
Frequency
2
3
0
2
4
3
5
(ii)
Class-Interval
4 - 11
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
Frequency
2
3
0
2
4
3
5
(iii)
Class-Interval
4 - 10
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
Frequency
2
5
0
2
4
3
3
(iv)
Class-Interval
4 - 10
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
Frequency
2
3
5
2
4
3
5
(v)
Class-Interval
4 - 10
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
Frequency
2
0
3
2
4
3
5
Question
10
10.
Given the sample data, prepare the class interval table in
exclusive
form with
2
as min value and a class size of
10
.
11
33
47
19
26
11
46
6
35
14
6
2
37
32
11
45
46
3
(i)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
7
4
1
4
4
(ii)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
7
1
2
4
4
(iii)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
7
2
1
4
4
(iv)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
7
4
1
4
2
(v)
Class-Interval
2 - 11
12 - 21
22 - 31
32 - 41
42 - 51
Frequency
7
2
1
4
4
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (i)
5) (i)
6) (v)
7) (ii)
8) (iii)
9) (i)
10) (iii)