EduSahara™ Assignment
Name : Constructing Class Interval Tables
Chapter : Frequency Distribution
Grade : ICSE Grade IX
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
.
65
42
57
61
65
67
54
59
44
74
50
52
40
64
51
57
80
76
47
(i)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
3
3
4
2
4
1
2
(ii)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
3
3
4
6
4
1
2
(iii)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
3
2
4
2
4
1
3
(iv)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
3
4
3
2
4
1
2
(v)
Marks
40 - 45
46 - 51
52 - 57
58 - 63
64 - 69
70 - 75
76 - 81
No. of Students
3
3
9
2
4
1
2
Question
2
2.
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
6
.
47
62
57
76
75
47
48
60
42
74
67
80
68
50
51
53
51
66
(i)
Marks
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
No. of Students
3
5
1
2
3
3
1
(ii)
Marks
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
No. of Students
3
5
1
5
3
3
1
(iii)
Marks
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
No. of Students
3
1
1
2
3
3
5
(iv)
Marks
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
No. of Students
3
1
5
2
3
3
1
(v)
Marks
42 - 48
48 - 54
54 - 60
60 - 66
66 - 72
72 - 78
78 - 84
No. of Students
3
5
6
2
3
3
1
Question
3
3.
The marks obtained by
16
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
.
50
49
41
46
75
53
78
49
58
65
59
41
53
62
43
71
(i)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
4
3
3
2
1
2
1
(ii)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
4
1
3
2
1
2
3
(iii)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
4
3
3
7
1
2
1
(iv)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
4
3
8
2
1
2
1
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
20
students, taking class size
2
.
20
22
18
24
16
18
15
20
19
18
24
23
18
23
24
24
10
25
15
10
(i)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
2
0
2
1
10
2
3
5
(ii)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
2
0
4
1
5
2
3
5
(iii)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
2
5
2
1
5
2
3
0
(iv)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
2
0
2
1
5
2
3
5
(v)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
2
0
1
2
5
2
3
5
Question
5
5.
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 inclusive form
taking class size
20
.
294
260
247
214
202
230
290
247
240
208
281
203
246
247
211
202
228
246
(i)
Wages (in rupees)
202 - 221
222 - 241
242 - 261
262 - 281
282 - 301
No. of Workers
6
3
6
1
2
(ii)
Wages (in rupees)
202 - 221
222 - 241
242 - 261
262 - 281
282 - 301
No. of Workers
6
6
3
1
2
(iii)
Wages (in rupees)
202 - 221
222 - 241
242 - 261
262 - 281
282 - 301
No. of Workers
6
5
6
1
2
(iv)
Wages (in rupees)
202 - 221
222 - 241
242 - 261
262 - 281
282 - 301
No. of Workers
6
2
6
1
3
(v)
Wages (in rupees)
202 - 221
222 - 241
242 - 261
262 - 281
282 - 301
No. of Workers
6
3
11
1
2
Question
6
6.
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 exclusive form
taking class size
30
.
250
229
297
207
212
262
243
256
205
290
294
236
216
228
291
(i)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
6
5
3
1
(ii)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
6
10
3
1
(iii)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
6
5
6
1
(iv)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
1
5
3
6
(v)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
6
3
5
1
Question
7
7.
The weights (in gm) of
16
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
50
.
227
238
267
389
200
296
251
298
279
239
233
223
234
325
311
352
(i)
Weight (in gm)
200 - 249
250 - 299
300 - 349
350 - 399
No. of Fruits
7
2
5
2
(ii)
Weight (in gm)
200 - 249
250 - 299
300 - 349
350 - 399
No. of Fruits
2
5
2
7
(iii)
Weight (in gm)
200 - 249
250 - 299
300 - 349
350 - 399
No. of Fruits
7
3
2
2
(iv)
Weight (in gm)
200 - 249
250 - 299
300 - 349
350 - 399
No. of Fruits
7
5
6
2
(v)
Weight (in gm)
200 - 249
250 - 299
300 - 349
350 - 399
No. of Fruits
7
5
2
2
Question
8
8.
The weights (in gm) of
19
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
40
.
350
293
224
292
296
304
315
268
226
204
232
225
391
267
391
395
274
221
208
(i)
Weight (in gm)
204 - 244
244 - 284
284 - 324
324 - 364
364 - 404
No. of Fruits
7
3
7
1
3
(ii)
Weight (in gm)
204 - 244
244 - 284
284 - 324
324 - 364
364 - 404
No. of Fruits
7
3
5
1
3
(iii)
Weight (in gm)
204 - 244
244 - 284
284 - 324
324 - 364
364 - 404
No. of Fruits
7
5
3
1
3
(iv)
Weight (in gm)
204 - 244
244 - 284
284 - 324
324 - 364
364 - 404
No. of Fruits
7
1
5
1
3
Question
9
9.
Given the sample data, prepare the class interval table in
inclusive
form with
2
as min value and a class size of
8
.
31
38
46
47
16
23
34
39
24
33
14
41
2
46
38
4
41
12
13
(i)
Class-Interval
2 - 9
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
Frequency
2
4
6
2
6
3
(ii)
Class-Interval
2 - 10
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
Frequency
2
4
2
2
6
3
(iii)
Class-Interval
2 - 9
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
Frequency
2
4
2
2
6
3
(iv)
Class-Interval
2 - 9
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
Frequency
2
2
4
2
6
3
(v)
Class-Interval
2 - 9
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
Frequency
2
3
2
2
6
4
Question
10
10.
Given the sample data, prepare the class interval table in
exclusive
form with
3
as min value and a class size of
7
.
32
18
32
40
3
12
32
47
10
20
29
47
38
21
33
45
10
49
23
28
(i)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
1
4
4
2
4
2
3
(ii)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
1
3
4
2
4
2
4
(iii)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
1
3
4
2
4
2
4
(iv)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
1
4
3
2
4
2
4
(v)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
1
3
1
2
4
2
4
Assignment Key
1) (i)
2) (i)
3) (i)
4) (iv)
5) (i)
6) (i)
7) (v)
8) (ii)
9) (iii)
10) (iii)