EduSahara™ Assignment
Name : Constructing Class Interval Tables
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The marks obtained by
17
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in inclusive form
taking class size
8
.
66
78
40
77
72
51
58
78
68
72
61
67
63
72
41
49
68
(i)
Marks
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of Students
2
2
3
4
6
(ii)
Marks
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of Students
2
3
2
4
6
(iii)
Marks
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of Students
2
2
6
4
6
(iv)
Marks
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of Students
2
6
3
4
2
(v)
Marks
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of Students
2
5
3
4
6
Question
2
2.
The marks obtained by
19
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
.
46
64
51
62
70
75
63
60
50
58
57
75
43
72
55
74
77
51
70
(i)
Marks
43 - 48
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of Students
2
3
2
1
2
3
4
(ii)
Marks
43 - 48
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of Students
2
3
4
3
2
3
4
(iii)
Marks
43 - 48
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of Students
2
2
3
3
2
3
4
(iv)
Marks
43 - 48
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of Students
2
4
2
3
2
3
3
(v)
Marks
43 - 48
48 - 53
53 - 58
58 - 63
63 - 68
68 - 73
73 - 78
No. of Students
2
3
2
3
2
3
4
Question
3
3.
The marks obtained by
19
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
.
66
60
54
59
65
52
74
77
79
58
55
76
45
51
61
45
72
58
58
(i)
Marks
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of Students
3
3
4
2
4
(ii)
Marks
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of Students
3
4
6
2
4
(iii)
Marks
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of Students
3
6
6
2
4
(iv)
Marks
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of Students
3
4
4
2
6
(v)
Marks
45 - 52
52 - 59
59 - 66
66 - 73
73 - 80
No. of Students
3
6
4
2
4
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
20
students, taking class size
3
.
11
12
23
12
20
21
14
16
12
14
18
24
12
21
22
18
14
24
14
17
(i)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
5
5
3
4
3
(ii)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
5
5
8
4
3
(iii)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
5
3
3
4
5
(iv)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
5
8
3
4
3
(v)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
5
3
5
4
3
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
.
208
211
227
208
222
224
251
249
237
217
213
253
292
236
233
234
294
242
(i)
Wages (in rupees)
208 - 237
238 - 267
268 - 297
No. of Workers
12
4
2
(ii)
Wages (in rupees)
208 - 237
238 - 267
268 - 297
No. of Workers
4
12
2
(iii)
Wages (in rupees)
208 - 237
238 - 267
268 - 297
No. of Workers
2
4
12
(iv)
Wages (in rupees)
208 - 237
238 - 267
268 - 297
No. of Workers
12
8
2
(v)
Wages (in rupees)
208 - 237
238 - 267
268 - 297
No. of Workers
12
1
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
20
.
248
245
285
236
242
216
271
244
287
268
288
292
249
264
253
278
293
216
(i)
Wages (in rupees)
216 - 236
236 - 256
256 - 276
276 - 296
No. of Workers
2
7
3
6
(ii)
Wages (in rupees)
216 - 236
236 - 256
256 - 276
276 - 296
No. of Workers
2
7
7
6
(iii)
Wages (in rupees)
216 - 236
236 - 256
256 - 276
276 - 296
No. of Workers
6
7
3
2
(iv)
Wages (in rupees)
216 - 236
236 - 256
256 - 276
276 - 296
No. of Workers
2
3
7
6
(v)
Wages (in rupees)
216 - 236
236 - 256
256 - 276
276 - 296
No. of Workers
2
3
3
6
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
40
.
211
305
223
298
343
387
233
343
208
224
356
202
281
221
211
349
(i)
Weight (in gm)
202 - 241
242 - 281
282 - 321
322 - 361
362 - 401
No. of Fruits
8
1
2
4
1
(ii)
Weight (in gm)
202 - 241
242 - 281
282 - 321
322 - 361
362 - 401
No. of Fruits
8
3
2
4
1
(iii)
Weight (in gm)
202 - 241
242 - 281
282 - 321
322 - 361
362 - 401
No. of Fruits
8
1
5
4
1
(iv)
Weight (in gm)
202 - 241
242 - 281
282 - 321
322 - 361
362 - 401
No. of Fruits
8
2
1
4
1
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
.
314
309
247
283
400
350
314
291
367
345
303
239
284
271
291
399
(i)
Weight (in gm)
239 - 279
279 - 319
319 - 359
359 - 399
399 - 439
No. of Fruits
3
2
2
1
8
(ii)
Weight (in gm)
239 - 279
279 - 319
319 - 359
359 - 399
399 - 439
No. of Fruits
3
3
2
1
2
(iii)
Weight (in gm)
239 - 279
279 - 319
319 - 359
359 - 399
399 - 439
No. of Fruits
3
8
2
1
2
(iv)
Weight (in gm)
239 - 279
279 - 319
319 - 359
359 - 399
399 - 439
No. of Fruits
3
2
8
1
2
(v)
Weight (in gm)
239 - 279
279 - 319
319 - 359
359 - 399
399 - 439
No. of Fruits
3
8
7
1
2
Question
9
9.
Given the sample data, prepare the class interval table in
inclusive
form with
1
as min value and a class size of
6
.
1
27
8
7
4
33
49
41
48
45
25
35
3
18
37
(i)
Class-Interval
1 - 6
7 - 12
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
Frequency
3
2
1
0
2
2
2
2
1
(ii)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
Frequency
3
2
1
0
2
2
2
2
1
(iii)
Class-Interval
1 - 6
7 - 12
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
Frequency
3
1
1
0
2
2
2
2
2
(iv)
Class-Interval
1 - 6
7 - 12
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
Frequency
3
2
1
2
2
2
2
2
1
(v)
Class-Interval
1 - 6
7 - 12
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
Frequency
3
2
0
1
2
2
2
2
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
8
.
33
10
45
3
23
19
20
17
43
6
42
20
34
48
13
40
10
7
21
(i)
Class-Interval
3 - 11
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
Frequency
5
5
2
2
2
3
(ii)
Class-Interval
3 - 10
11 - 18
19 - 26
27 - 34
35 - 42
43 - 50
Frequency
5
2
5
2
2
3
(iii)
Class-Interval
3 - 11
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
Frequency
5
2
9
2
2
3
(iv)
Class-Interval
3 - 11
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
Frequency
5
2
5
2
2
3
(v)
Class-Interval
3 - 11
11 - 19
19 - 27
27 - 35
35 - 43
43 - 51
Frequency
5
3
5
2
2
2
Assignment Key
1) (i)
2) (v)
3) (v)
4) (i)
5) (i)
6) (i)
7) (i)
8) (iii)
9) (i)
10) (iv)