EduSahara™ Assignment
Name : Constructing Class Interval Tables
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The marks obtained by
20
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in inclusive form
taking class size
7
.
49
57
59
68
41
63
71
63
61
46
70
40
59
57
59
44
67
80
80
52
(i)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
4
2
5
4
3
2
(ii)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
4
2
5
8
3
2
(iii)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
4
5
2
4
3
2
(iv)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
4
2
10
4
3
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
7
.
75
64
53
57
75
60
59
50
78
63
57
44
46
65
50
(i)
Marks
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
No. of Students
4
3
2
1
3
(ii)
Marks
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
No. of Students
4
6
4
1
3
(iii)
Marks
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
No. of Students
4
4
3
1
3
(iv)
Marks
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
No. of Students
4
3
4
1
3
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
5
.
71
65
48
73
66
40
52
50
68
62
72
72
79
59
49
46
53
80
43
(i)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
3
3
6
1
3
4
1
1
(ii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
3
3
1
4
3
4
1
1
(iii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
3
3
1
1
3
4
1
1
(iv)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
1
3
1
1
3
4
1
3
(v)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
2
3
1
3
1
3
4
1
1
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
16
students, taking class size
3
.
16
13
14
23
11
12
13
14
23
22
18
15
15
13
24
13
(i)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
6
1
5
1
3
(ii)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
6
5
1
1
3
(iii)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
6
9
1
1
3
(iv)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
6
3
1
1
5
(v)
Age (in years)
11 - 14
14 - 17
17 - 20
20 - 23
23 - 26
No. of Students
6
5
4
1
3
Question
5
5.
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 inclusive form
taking class size
20
.
237
278
226
271
207
288
208
208
295
294
277
293
273
284
271
284
252
267
257
260
(i)
Wages (in rupees)
207 - 226
227 - 246
247 - 266
267 - 286
287 - 306
No. of Workers
4
4
3
8
1
(ii)
Wages (in rupees)
207 - 226
227 - 246
247 - 266
267 - 286
287 - 306
No. of Workers
4
1
1
8
4
(iii)
Wages (in rupees)
207 - 226
227 - 246
247 - 266
267 - 286
287 - 306
No. of Workers
4
3
1
8
4
(iv)
Wages (in rupees)
207 - 226
227 - 246
247 - 266
267 - 286
287 - 306
No. of Workers
4
5
3
8
4
(v)
Wages (in rupees)
207 - 226
227 - 246
247 - 266
267 - 286
287 - 306
No. of Workers
4
1
3
8
4
Question
6
6.
The daily wages (in rupees) of
17
workers in a factory are given below.
Represent the data in the form of a frequency distribution
in exclusive form
taking class size
30
.
267
234
263
236
222
229
205
230
240
238
261
264
214
244
204
252
300
(i)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
6
5
2
1
(ii)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
6
8
2
1
(iii)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
1
8
2
6
(iv)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
6
2
8
1
(v)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
6
8
4
1
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
.
389
263
372
248
283
310
217
295
270
283
305
213
235
372
398
208
322
372
(i)
Weight (in gm)
208 - 257
258 - 307
308 - 357
358 - 407
No. of Fruits
5
2
6
5
(ii)
Weight (in gm)
208 - 257
258 - 307
308 - 357
358 - 407
No. of Fruits
5
1
2
5
(iii)
Weight (in gm)
208 - 257
258 - 307
308 - 357
358 - 407
No. of Fruits
5
6
2
5
(iv)
Weight (in gm)
208 - 257
258 - 307
308 - 357
358 - 407
No. of Fruits
5
6
7
5
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
.
358
266
349
247
280
306
220
298
355
292
214
242
329
333
234
202
(i)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
No. of Fruits
4
7
3
5
(ii)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
No. of Fruits
4
4
3
5
(iii)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
No. of Fruits
4
3
4
5
(iv)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
No. of Fruits
5
4
3
4
(v)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
No. of Fruits
4
4
6
5
Question
9
9.
Given the sample data, prepare the class interval table in
inclusive
form with
12
as min value and a class size of
8
.
32
34
28
35
13
16
12
25
38
30
20
28
40
48
45
(i)
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
Frequency
3
2
6
2
2
(ii)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
3
2
6
2
2
(iii)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
3
6
2
2
2
(iv)
Class-Interval
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
3
5
6
2
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
10
.
1
13
49
40
30
48
24
32
14
50
50
41
24
35
47
19
26
(i)
Class-Interval
1 - 11
11 - 21
21 - 31
31 - 41
41 - 51
Frequency
1
4
3
3
6
(ii)
Class-Interval
1 - 11
11 - 21
21 - 31
31 - 41
41 - 51
Frequency
1
3
4
3
6
(iii)
Class-Interval
1 - 11
11 - 21
21 - 31
31 - 41
41 - 51
Frequency
1
7
4
3
6
(iv)
Class-Interval
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
Frequency
1
3
4
3
6
(v)
Class-Interval
1 - 11
11 - 21
21 - 31
31 - 41
41 - 51
Frequency
1
6
4
3
3
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (ii)
5) (v)
6) (ii)
7) (iii)
8) (ii)
9) (ii)
10) (ii)
