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
15
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
.
44
59
45
43
80
54
62
62
73
55
75
60
78
59
72
(i)
Marks
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
73 - 77
78 - 82
No. of Students
3
2
2
5
0
1
2
0
(ii)
Marks
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
73 - 77
78 - 82
No. of Students
3
0
2
5
3
1
2
2
(iii)
Marks
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
73 - 77
78 - 82
No. of Students
3
0
2
5
0
1
2
2
(iv)
Marks
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
73 - 77
78 - 82
No. of Students
3
0
7
5
0
1
2
2
(v)
Marks
43 - 47
48 - 52
53 - 57
58 - 62
63 - 67
68 - 72
73 - 77
78 - 82
No. of Students
3
0
5
2
0
1
2
2
Question
2
2.
The marks obtained by
15
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
.
78
48
65
40
45
43
72
71
50
61
61
40
50
53
77
(i)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
2
1
2
1
2
3
(ii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
3
1
2
1
2
2
(iii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
3
4
2
1
2
2
(iv)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
3
1
5
1
2
2
(v)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
4
1
3
2
1
2
2
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
7
.
47
64
60
48
64
42
64
50
49
75
51
43
71
71
69
74
(i)
Marks
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
No. of Students
4
3
4
4
4
(ii)
Marks
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
No. of Students
4
1
3
4
4
(iii)
Marks
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
No. of Students
4
3
1
4
4
(iv)
Marks
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
No. of Students
4
4
1
4
3
(v)
Marks
42 - 49
49 - 56
56 - 63
63 - 70
70 - 77
No. of Students
4
7
1
4
4
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
20
students, taking class size
3
.
10
14
19
16
23
24
13
15
11
13
13
18
20
11
15
18
15
19
10
25
(i)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
7
3
3
2
1
(ii)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
7
3
6
2
1
(iii)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
1
3
3
2
7
(iv)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
3
7
3
2
1
(v)
Age (in years)
10 - 13
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
4
7
7
3
2
1
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
30
.
214
201
242
202
267
267
272
268
274
247
284
292
285
288
243
274
202
248
(i)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
9
4
1
(ii)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
1
4
9
4
(iii)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
4
9
1
(iv)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
8
9
1
(v)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
4
4
14
1
Question
6
6.
The daily wages (in rupees) of
20
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
30
.
255
268
205
218
266
247
232
283
275
284
255
230
286
255
295
280
222
252
235
245
(i)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
5
5
7
1
(ii)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
1
7
7
5
(iii)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
5
7
5
1
(iv)
Wages (in rupees)
205 - 235
235 - 265
265 - 295
295 - 325
No. of Workers
5
7
7
1
Question
7
7.
The weights (in gm) of
19
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
50
.
355
259
337
243
269
280
247
338
240
268
394
358
246
272
382
253
398
389
246
(i)
Weight (in gm)
240 - 289
290 - 339
340 - 389
390 - 439
No. of Fruits
11
4
4
2
(ii)
Weight (in gm)
240 - 289
290 - 339
340 - 389
390 - 439
No. of Fruits
11
2
6
2
(iii)
Weight (in gm)
240 - 289
290 - 339
340 - 389
390 - 439
No. of Fruits
11
2
4
2
(iv)
Weight (in gm)
240 - 289
290 - 339
340 - 389
390 - 439
No. of Fruits
11
4
2
2
(v)
Weight (in gm)
240 - 289
290 - 339
340 - 389
390 - 439
No. of Fruits
2
2
4
11
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
40
.
335
395
334
312
255
213
329
371
246
308
318
365
219
217
345
229
(i)
Weight (in gm)
213 - 253
253 - 293
293 - 333
333 - 373
373 - 413
No. of Fruits
5
4
1
5
1
(ii)
Weight (in gm)
213 - 253
253 - 293
293 - 333
333 - 373
373 - 413
No. of Fruits
5
1
4
5
1
(iii)
Weight (in gm)
213 - 253
253 - 293
293 - 333
333 - 373
373 - 413
No. of Fruits
5
1
7
5
1
(iv)
Weight (in gm)
213 - 253
253 - 293
293 - 333
333 - 373
373 - 413
No. of Fruits
5
5
4
5
1
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
.
6
16
38
41
43
15
13
47
23
11
11
40
14
5
50
18
3
23
(i)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
3
6
3
0
0
4
2
(ii)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
3
2
3
0
0
4
6
(iii)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
3
6
6
0
0
4
2
(iv)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
3
3
6
0
0
4
2
(v)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
3
6
3
0
0
4
2
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
6
.
37
40
1
10
38
46
27
6
41
8
39
8
7
38
27
(i)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
Frequency
2
4
2
0
2
0
6
1
(ii)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
Frequency
2
1
0
0
2
0
6
4
(iii)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
Frequency
2
4
0
0
2
0
6
1
(iv)
Class-Interval
1 - 6
7 - 12
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
Frequency
2
4
0
0
2
0
6
1
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (i)
5) (iii)
6) (iv)
7) (iii)
8) (ii)
9) (v)
10) (iii)