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
.
46
42
40
45
48
68
45
59
62
57
63
57
43
60
44
80
47
45
60
67
(i)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
8
2
5
5
1
1
(ii)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
8
2
5
3
1
1
(iii)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
8
2
2
3
1
1
(iv)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
8
1
5
3
1
2
(v)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
8
5
2
3
1
1
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
8
.
74
46
60
80
72
65
75
74
55
65
66
71
67
70
67
43
45
68
(i)
Marks
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of Students
3
1
2
8
2
(ii)
Marks
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of Students
3
2
4
8
1
(iii)
Marks
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of Students
3
1
4
8
2
(iv)
Marks
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of Students
3
3
4
8
2
(v)
Marks
43 - 51
51 - 59
59 - 67
67 - 75
75 - 83
No. of Students
3
4
1
8
2
Question
3
3.
The marks obtained by
17
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
.
40
55
60
62
51
77
67
72
69
55
75
58
73
43
63
54
47
(i)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
2
2
3
6
2
3
1
(ii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
2
3
2
4
2
3
1
(iii)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
2
2
3
4
2
3
1
(iv)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
2
2
1
4
2
3
1
(v)
Marks
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
76 - 82
No. of Students
2
1
3
4
2
3
2
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
15
students, taking class size
4
.
16
21
25
25
13
12
10
21
24
18
10
11
15
18
23
(i)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
2
7
4
(ii)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
4
2
4
5
(iii)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
4
2
4
(iv)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
5
4
4
(v)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
2
4
4
Question
5
5.
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 inclusive form
taking class size
20
.
265
284
252
233
280
272
226
210
275
271
270
255
300
217
265
213
251
(i)
Wages (in rupees)
210 - 229
230 - 249
250 - 269
270 - 289
290 - 309
No. of Workers
4
1
3
6
1
(ii)
Wages (in rupees)
210 - 229
230 - 249
250 - 269
270 - 289
290 - 309
No. of Workers
4
1
5
6
1
(iii)
Wages (in rupees)
210 - 229
230 - 249
250 - 269
270 - 289
290 - 309
No. of Workers
4
5
5
6
1
(iv)
Wages (in rupees)
210 - 229
230 - 249
250 - 269
270 - 289
290 - 309
No. of Workers
4
5
1
6
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
.
261
283
295
266
284
261
278
283
296
289
239
225
254
233
286
204
260
241
288
224
(i)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
4
6
6
2
(ii)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
4
2
8
2
(iii)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
4
6
8
2
(iv)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
2
6
8
4
(v)
Wages (in rupees)
204 - 234
234 - 264
264 - 294
294 - 324
No. of Workers
4
8
6
2
Question
7
7.
The weights (in gm) of
20
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
40
.
244
328
332
316
364
264
276
381
325
349
290
284
369
301
370
287
235
347
367
324
(i)
Weight (in gm)
235 - 274
275 - 314
315 - 354
355 - 394
No. of Fruits
3
5
7
5
(ii)
Weight (in gm)
235 - 274
275 - 314
315 - 354
355 - 394
No. of Fruits
3
5
2
5
(iii)
Weight (in gm)
235 - 274
275 - 314
315 - 354
355 - 394
No. of Fruits
5
5
7
3
(iv)
Weight (in gm)
235 - 274
275 - 314
315 - 354
355 - 394
No. of Fruits
3
1
7
5
(v)
Weight (in gm)
235 - 274
275 - 314
315 - 354
355 - 394
No. of Fruits
3
7
5
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
50
.
298
367
209
394
268
242
218
353
243
344
323
284
314
269
355
300
(i)
Weight (in gm)
209 - 259
259 - 309
309 - 359
359 - 409
No. of Fruits
4
9
5
2
(ii)
Weight (in gm)
209 - 259
259 - 309
309 - 359
359 - 409
No. of Fruits
2
5
5
4
(iii)
Weight (in gm)
209 - 259
259 - 309
309 - 359
359 - 409
No. of Fruits
4
5
8
2
(iv)
Weight (in gm)
209 - 259
259 - 309
309 - 359
359 - 409
No. of Fruits
4
5
5
2
Question
9
9.
Given the sample data, prepare the class interval table in
inclusive
form with
4
as min value and a class size of
8
.
35
22
21
45
28
21
50
20
22
23
26
27
11
49
4
(i)
Class-Interval
4 - 12
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
Frequency
2
0
8
2
0
3
(ii)
Class-Interval
4 - 11
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
2
0
8
2
0
3
(iii)
Class-Interval
4 - 11
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
2
8
0
2
0
3
(iv)
Class-Interval
4 - 11
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
2
0
4
2
0
3
(v)
Class-Interval
4 - 11
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
Frequency
2
3
8
2
0
0
Question
10
10.
Given the sample data, prepare the class interval table in
exclusive
form with
2
as min value and a class size of
10
.
31
40
2
14
22
2
13
11
35
47
34
37
5
6
19
38
13
7
(i)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
6
2
4
5
1
(ii)
Class-Interval
2 - 11
12 - 21
22 - 31
32 - 41
42 - 51
Frequency
6
4
2
5
1
(iii)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
6
1
2
5
4
(iv)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
6
4
2
5
1
(v)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
6
1
2
5
1
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (ii)
6) (iii)
7) (i)
8) (iv)
9) (ii)
10) (iv)