EduSahara™ Assignment
Name : Class Interval Table Construction
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The marks obtained by
16
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in inclusive form
taking class size
5
.
68
63
44
57
41
75
69
60
53
54
73
70
44
78
43
55
(i)
Marks
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of Students
4
1
3
2
1
3
2
0
(ii)
Marks
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of Students
4
0
2
3
1
3
2
1
(iii)
Marks
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of Students
4
0
3
2
1
3
2
1
(iv)
Marks
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of Students
4
0
3
2
4
3
2
1
(v)
Marks
41 - 45
46 - 50
51 - 55
56 - 60
61 - 65
66 - 70
71 - 75
76 - 80
No. of Students
4
0
1
2
1
3
2
1
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
8
.
75
79
65
73
59
50
41
68
46
66
47
43
61
72
44
42
45
52
55
77
(i)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of Students
7
2
3
4
4
(ii)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of Students
7
3
6
4
4
(iii)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of Students
7
4
2
4
3
(iv)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of Students
7
8
2
4
4
(v)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
73 - 81
No. of Students
7
3
2
4
4
Question
3
3.
The marks obtained by
17
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
.
47
75
77
45
53
76
54
42
41
72
62
77
63
55
77
57
57
(i)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
1
5
4
0
3
3
(ii)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
1
5
2
0
3
3
(iii)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
3
5
2
0
3
1
(iv)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
1
2
2
0
3
3
(v)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
5
1
2
0
3
3
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
16
students, taking class size
2
.
23
13
22
18
23
18
18
13
15
21
22
21
10
25
18
14
(i)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
1
1
2
0
4
2
4
2
(ii)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
1
2
2
0
4
2
4
1
(iii)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
1
2
4
0
4
2
4
1
(iv)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
1
2
0
2
4
2
4
1
(v)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
1
2
2
0
8
2
4
1
Question
5
5.
The daily wages (in rupees) of
15
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in inclusive form
taking class size
30
.
249
216
204
221
248
260
202
297
262
292
214
292
250
234
252
(i)
Wages (in rupees)
202 - 231
232 - 261
262 - 291
292 - 321
No. of Workers
5
1
6
3
(ii)
Wages (in rupees)
202 - 231
232 - 261
262 - 291
292 - 321
No. of Workers
5
9
1
3
(iii)
Wages (in rupees)
202 - 231
232 - 261
262 - 291
292 - 321
No. of Workers
5
6
4
3
(iv)
Wages (in rupees)
202 - 231
232 - 261
262 - 291
292 - 321
No. of Workers
3
6
1
5
(v)
Wages (in rupees)
202 - 231
232 - 261
262 - 291
292 - 321
No. of Workers
5
6
1
3
Question
6
6.
The daily wages (in rupees) of
16
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
30
.
265
247
278
281
200
234
259
298
287
283
207
263
285
277
227
253
(i)
Wages (in rupees)
200 - 230
230 - 260
260 - 290
290 - 320
No. of Workers
3
4
8
1
(ii)
Wages (in rupees)
200 - 230
230 - 260
260 - 290
290 - 320
No. of Workers
3
8
4
1
(iii)
Wages (in rupees)
200 - 230
230 - 260
260 - 290
290 - 320
No. of Workers
3
4
11
1
(iv)
Wages (in rupees)
200 - 230
230 - 260
260 - 290
290 - 320
No. of Workers
3
7
8
1
(v)
Wages (in rupees)
200 - 230
230 - 260
260 - 290
290 - 320
No. of Workers
1
4
8
3
Question
7
7.
The weights (in gm) of
20
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
50
.
274
398
375
330
265
369
228
275
396
346
320
389
281
252
217
400
309
322
215
331
(i)
Weight (in gm)
215 - 264
265 - 314
315 - 364
365 - 414
No. of Fruits
6
5
5
4
(ii)
Weight (in gm)
215 - 264
265 - 314
315 - 364
365 - 414
No. of Fruits
4
5
8
6
(iii)
Weight (in gm)
215 - 264
265 - 314
315 - 364
365 - 414
No. of Fruits
4
9
5
6
(iv)
Weight (in gm)
215 - 264
265 - 314
315 - 364
365 - 414
No. of Fruits
4
5
5
6
Question
8
8.
The weights (in gm) of
17
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
50
.
246
213
387
398
329
292
319
291
310
287
384
206
229
288
266
238
396
(i)
Weight (in gm)
206 - 256
256 - 306
306 - 356
356 - 406
No. of Fruits
5
5
8
4
(ii)
Weight (in gm)
206 - 256
256 - 306
306 - 356
356 - 406
No. of Fruits
5
3
5
4
(iii)
Weight (in gm)
206 - 256
256 - 306
306 - 356
356 - 406
No. of Fruits
5
9
3
4
(iv)
Weight (in gm)
206 - 256
256 - 306
306 - 356
356 - 406
No. of Fruits
4
5
3
5
(v)
Weight (in gm)
206 - 256
256 - 306
306 - 356
356 - 406
No. of Fruits
5
5
3
4
Question
9
9.
Given the sample data, prepare the class interval table in
inclusive
form with
3
as min value and a class size of
7
.
15
9
31
21
18
15
10
8
12
49
38
22
19
3
9
5
14
(i)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
5
5
4
0
1
1
1
(ii)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
5
5
1
0
1
1
1
(iii)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
5
4
5
0
1
1
1
(iv)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
5
1
4
0
1
1
5
(v)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
5
5
4
0
1
1
1
Question
10
10.
Given the sample data, prepare the class interval table in
exclusive
form with
1
as min value and a class size of
9
.
23
5
3
24
33
26
42
45
11
23
1
20
13
37
44
49
(i)
Class-Interval
1 - 10
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
3
2
5
1
4
1
(ii)
Class-Interval
1 - 10
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
3
2
7
1
4
1
(iii)
Class-Interval
1 - 10
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
3
1
5
1
4
2
(iv)
Class-Interval
1 - 9
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
Frequency
3
2
5
1
4
1
(v)
Class-Interval
1 - 10
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
Frequency
3
5
2
1
4
1
Assignment Key
1) (iii)
2) (v)
3) (ii)
4) (ii)
5) (v)
6) (i)
7) (iv)
8) (v)
9) (v)
10) (i)
