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
5
.
47
69
75
45
67
73
51
78
55
66
58
75
74
46
63
40
40
45
73
(i)
Marks
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
65 - 69
70 - 74
75 - 79
No. of Students
2
4
1
2
5
3
3
3
(ii)
Marks
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
65 - 69
70 - 74
75 - 79
No. of Students
2
4
2
1
1
3
3
3
(iii)
Marks
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
65 - 69
70 - 74
75 - 79
No. of Students
2
4
1
2
1
3
3
3
(iv)
Marks
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
65 - 69
70 - 74
75 - 79
No. of Students
2
3
1
2
1
3
3
4
(v)
Marks
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
65 - 69
70 - 74
75 - 79
No. of Students
2
4
3
2
1
3
3
3
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
.
70
53
42
44
68
40
60
50
64
67
48
76
64
72
41
40
41
47
68
40
(i)
Marks
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of Students
8
2
1
6
3
(ii)
Marks
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of Students
8
8
1
6
2
(iii)
Marks
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of Students
8
3
1
6
2
(iv)
Marks
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of Students
8
3
4
6
2
(v)
Marks
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
No. of Students
8
1
3
6
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
5
.
75
80
57
50
64
62
63
78
55
41
73
57
43
55
68
62
(i)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
2
1
5
2
4
1
2
2
(ii)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
2
1
2
2
4
1
2
2
(iii)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
2
2
2
2
4
1
2
1
(iv)
Marks
41 - 46
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
No. of Students
2
1
2
2
2
1
2
2
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
16
students, taking class size
3
.
13
12
15
23
21
23
15
13
20
13
22
24
12
22
23
20
(i)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
5
7
2
6
1
(ii)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
5
2
6
6
1
(iii)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
5
1
2
6
2
(iv)
Age (in years)
12 - 15
15 - 18
18 - 21
21 - 24
24 - 27
No. of Students
5
2
2
6
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
.
275
216
248
252
266
280
248
297
213
247
201
270
217
285
209
259
257
270
(i)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
5
6
6
1
(ii)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
5
2
6
1
(iii)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
5
6
3
1
(iv)
Wages (in rupees)
201 - 230
231 - 260
261 - 290
291 - 320
No. of Workers
1
6
6
5
Question
6
6.
The daily wages (in rupees) of
19
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
20
.
285
237
221
223
228
234
232
204
246
298
251
211
235
270
207
271
290
212
218
(i)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
7
3
2
2
3
(ii)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
7
5
4
2
3
(iii)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
7
3
2
2
5
(iv)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
7
2
5
2
3
(v)
Wages (in rupees)
204 - 224
224 - 244
244 - 264
264 - 284
284 - 304
No. of Workers
7
5
2
2
3
Question
7
7.
The weights (in gm) of
18
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
50
.
308
326
265
346
300
363
254
250
399
343
300
273
278
243
392
333
233
292
(i)
Weight (in gm)
233 - 282
283 - 332
333 - 382
383 - 432
No. of Fruits
7
8
4
2
(ii)
Weight (in gm)
233 - 282
283 - 332
333 - 382
383 - 432
No. of Fruits
7
5
9
2
(iii)
Weight (in gm)
233 - 282
283 - 332
333 - 382
383 - 432
No. of Fruits
7
4
5
2
(iv)
Weight (in gm)
233 - 282
283 - 332
333 - 382
383 - 432
No. of Fruits
7
5
4
2
(v)
Weight (in gm)
233 - 282
283 - 332
333 - 382
383 - 432
No. of Fruits
2
5
4
7
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
.
270
208
261
227
367
229
265
234
222
234
376
275
364
275
365
282
353
256
363
(i)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
6
1
0
5
7
(ii)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
6
3
0
5
1
(iii)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
6
7
0
5
1
(iv)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
6
7
2
5
1
(v)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
6
0
7
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
9
.
40
37
29
46
47
36
8
5
23
4
37
23
45
30
49
32
3
40
28
(i)
Class-Interval
3 - 12
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
Frequency
4
0
4
5
5
1
(ii)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
4
4
0
5
5
1
(iii)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
4
1
4
5
5
0
(iv)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
4
0
9
5
5
1
(v)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
4
0
4
5
5
1
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
.
29
21
22
4
46
3
36
17
43
25
5
48
46
22
31
22
7
(i)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
4
0
8
2
2
1
3
(ii)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
4
5
0
2
2
1
3
(iii)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
4
0
5
2
2
1
3
(iv)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
45 - 52
Frequency
4
3
5
2
2
1
0
(v)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
45 - 51
Frequency
4
0
5
2
2
1
3
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (iv)
5) (i)
6) (v)
7) (iv)
8) (iii)
9) (v)
10) (iii)
