EduSahara™ Assignment
Name : Constructing Class Interval Tables
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The marks obtained by
18
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
.
50
75
69
73
68
51
52
52
77
60
57
56
53
43
56
64
48
78
(i)
Marks
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of Students
2
7
4
3
3
1
(ii)
Marks
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of Students
2
7
2
3
3
1
(iii)
Marks
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of Students
2
1
2
3
3
7
(iv)
Marks
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of Students
2
7
2
1
3
1
(v)
Marks
43 - 49
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of Students
2
2
7
3
3
1
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
7
.
66
51
72
74
55
43
47
55
64
57
45
71
52
73
41
59
59
67
56
57
(i)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
4
4
7
3
2
(ii)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
4
5
7
3
4
(iii)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
4
7
2
3
4
(iv)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
4
2
7
3
4
(v)
Marks
41 - 48
48 - 55
55 - 62
62 - 69
69 - 76
No. of Students
4
2
5
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
6
.
48
55
71
63
66
45
73
60
76
72
73
50
71
58
43
77
41
77
59
(i)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
2
4
3
1
6
2
(ii)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
2
2
1
1
6
2
(iii)
Marks
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
77 - 83
No. of Students
3
2
2
3
1
6
2
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
20
students, taking class size
2
.
13
24
18
16
12
13
19
17
13
25
12
17
16
22
18
15
22
21
23
20
(i)
Age (in years)
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
5
1
1
3
2
3
2
(ii)
Age (in years)
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
5
4
1
3
2
3
2
(iii)
Age (in years)
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
5
2
4
3
2
3
1
(iv)
Age (in years)
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
5
1
4
8
2
3
2
(v)
Age (in years)
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
5
1
4
3
2
3
2
Question
5
5.
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 inclusive form
taking class size
30
.
209
260
279
252
299
300
248
266
254
207
243
259
215
242
289
210
269
280
208
(i)
Wages (in rupees)
207 - 236
237 - 266
267 - 296
297 - 326
No. of Workers
5
8
8
2
(ii)
Wages (in rupees)
207 - 236
237 - 266
267 - 296
297 - 326
No. of Workers
5
4
8
2
(iii)
Wages (in rupees)
207 - 236
237 - 266
267 - 296
297 - 326
No. of Workers
2
8
4
5
(iv)
Wages (in rupees)
207 - 236
237 - 266
267 - 296
297 - 326
No. of Workers
5
12
4
2
(v)
Wages (in rupees)
207 - 236
237 - 266
267 - 296
297 - 326
No. of Workers
5
8
4
2
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
.
243
283
285
299
225
215
225
246
280
259
294
261
227
263
257
213
236
222
236
268
(i)
Wages (in rupees)
213 - 243
243 - 273
273 - 303
No. of Workers
8
7
5
(ii)
Wages (in rupees)
213 - 243
243 - 273
273 - 303
No. of Workers
7
8
5
(iii)
Wages (in rupees)
213 - 243
243 - 273
273 - 303
No. of Workers
5
7
8
(iv)
Wages (in rupees)
213 - 243
243 - 273
273 - 303
No. of Workers
8
9
5
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
50
.
251
290
212
368
213
360
387
316
267
345
214
233
398
395
238
338
(i)
Weight (in gm)
212 - 261
262 - 311
312 - 361
362 - 411
No. of Fruits
6
4
2
4
(ii)
Weight (in gm)
212 - 261
262 - 311
312 - 361
362 - 411
No. of Fruits
6
2
4
4
(iii)
Weight (in gm)
212 - 261
262 - 311
312 - 361
362 - 411
No. of Fruits
4
2
4
6
(iv)
Weight (in gm)
212 - 261
262 - 311
312 - 361
362 - 411
No. of Fruits
6
2
6
4
(v)
Weight (in gm)
212 - 261
262 - 311
312 - 361
362 - 411
No. of Fruits
6
7
4
4
Question
8
8.
The weights (in gm) of
18
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
40
.
395
291
329
230
277
233
369
234
354
299
344
226
215
323
236
307
330
372
(i)
Weight (in gm)
215 - 255
255 - 295
295 - 335
335 - 375
375 - 415
No. of Fruits
6
1
5
4
2
(ii)
Weight (in gm)
215 - 255
255 - 295
295 - 335
335 - 375
375 - 415
No. of Fruits
6
2
10
4
1
(iii)
Weight (in gm)
215 - 255
255 - 295
295 - 335
335 - 375
375 - 415
No. of Fruits
6
5
5
4
1
(iv)
Weight (in gm)
215 - 255
255 - 295
295 - 335
335 - 375
375 - 415
No. of Fruits
6
5
2
4
1
(v)
Weight (in gm)
215 - 255
255 - 295
295 - 335
335 - 375
375 - 415
No. of Fruits
6
2
5
4
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
.
20
38
11
14
30
50
4
10
34
5
39
29
7
15
3
45
(i)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
6
1
1
3
2
3
(ii)
Class-Interval
3 - 12
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
Frequency
6
3
1
3
2
1
(iii)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
6
1
3
3
2
1
(iv)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
6
3
1
3
2
1
(v)
Class-Interval
3 - 11
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
Frequency
6
3
4
3
2
1
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
7
.
30
42
27
4
7
40
28
10
8
34
40
1
11
4
50
(i)
Class-Interval
1 - 7
8 - 14
15 - 21
22 - 28
29 - 35
36 - 42
43 - 49
50 - 56
Frequency
4
3
0
2
2
3
0
1
(ii)
Class-Interval
1 - 8
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
4
1
0
2
2
3
0
3
(iii)
Class-Interval
1 - 8
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
4
3
0
2
2
3
0
1
(iv)
Class-Interval
1 - 8
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
4
3
2
0
2
3
0
1
(v)
Class-Interval
1 - 8
8 - 15
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
Frequency
4
3
5
2
2
3
0
1
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (v)
5) (v)
6) (i)
7) (ii)
8) (v)
9) (iv)
10) (iii)