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
7
.
58
56
40
44
47
74
42
54
49
47
40
53
80
48
46
53
80
(i)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
5
2
3
0
1
6
(ii)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
5
6
3
0
1
2
(iii)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
5
6
1
0
1
2
(iv)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
5
3
6
0
1
2
(v)
Marks
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
No. of Students
5
6
3
3
1
2
Question
2
2.
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
8
.
41
54
60
64
65
47
41
71
69
53
66
44
44
58
67
50
(i)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
No. of Students
5
6
3
5
(ii)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
No. of Students
5
3
8
5
(iii)
Marks
41 - 49
49 - 57
57 - 65
65 - 73
No. of Students
5
3
3
5
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
7
.
60
71
62
71
41
40
44
45
45
75
61
68
47
49
64
78
(i)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
2
1
8
3
2
(ii)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
1
2
3
3
2
(iii)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
2
4
3
3
2
(iv)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
2
1
3
3
2
Question
4
4.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
17
students, taking class size
3
.
19
14
24
24
20
16
25
15
21
18
16
21
21
24
13
17
21
(i)
Age (in years)
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
3
6
4
3
1
(ii)
Age (in years)
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
3
4
4
3
1
(iii)
Age (in years)
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
3
8
6
3
1
(iv)
Age (in years)
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
3
4
6
3
1
(v)
Age (in years)
13 - 16
16 - 19
19 - 22
22 - 25
25 - 28
No. of Students
3
1
6
3
4
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
20
.
298
254
275
222
207
289
270
249
271
288
212
235
257
206
218
280
237
222
226
(i)
Wages (in rupees)
206 - 225
226 - 245
246 - 265
266 - 285
286 - 305
No. of Workers
6
5
3
4
3
(ii)
Wages (in rupees)
206 - 225
226 - 245
246 - 265
266 - 285
286 - 305
No. of Workers
6
3
3
4
3
(iii)
Wages (in rupees)
206 - 225
226 - 245
246 - 265
266 - 285
286 - 305
No. of Workers
6
3
1
4
3
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
20
.
299
293
259
227
289
231
202
275
300
213
235
226
254
263
250
288
250
248
228
282
(i)
Wages (in rupees)
202 - 222
222 - 242
242 - 262
262 - 282
282 - 302
No. of Workers
2
5
5
2
6
(ii)
Wages (in rupees)
202 - 222
222 - 242
242 - 262
262 - 282
282 - 302
No. of Workers
2
6
5
2
5
(iii)
Wages (in rupees)
202 - 222
222 - 242
242 - 262
262 - 282
282 - 302
No. of Workers
2
5
3
2
6
(iv)
Wages (in rupees)
202 - 222
222 - 242
242 - 262
262 - 282
282 - 302
No. of Workers
2
1
5
2
6
Question
7
7.
The weights (in gm) of
17
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
50
.
390
269
373
367
390
203
393
298
309
311
221
225
300
208
248
398
205
(i)
Weight (in gm)
203 - 252
253 - 302
303 - 352
353 - 402
No. of Fruits
6
2
3
6
(ii)
Weight (in gm)
203 - 252
253 - 302
303 - 352
353 - 402
No. of Fruits
6
8
2
6
(iii)
Weight (in gm)
203 - 252
253 - 302
303 - 352
353 - 402
No. of Fruits
6
3
2
6
(iv)
Weight (in gm)
203 - 252
253 - 302
303 - 352
353 - 402
No. of Fruits
6
3
4
6
Question
8
8.
The weights (in gm) of
20
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
40
.
343
367
252
320
324
397
370
300
329
370
343
208
373
249
271
388
263
303
347
310
(i)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
1
5
5
5
4
(ii)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
1
5
4
5
5
(iii)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
1
4
5
5
5
(iv)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
1
4
7
5
5
(v)
Weight (in gm)
208 - 248
248 - 288
288 - 328
328 - 368
368 - 408
No. of Fruits
1
2
5
5
5
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
7
.
50
36
6
4
10
27
8
42
10
26
44
49
39
44
36
38
(i)
Class-Interval
4 - 10
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
Frequency
5
0
0
2
3
4
2
(ii)
Class-Interval
4 - 11
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
Frequency
5
0
0
2
3
4
2
(iii)
Class-Interval
4 - 10
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
Frequency
5
0
4
2
3
4
2
(iv)
Class-Interval
4 - 10
11 - 17
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
Frequency
5
2
0
2
3
4
0
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
6
.
15
13
19
27
14
1
13
19
14
9
11
21
23
3
5
21
12
(i)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
Frequency
3
3
5
5
1
(ii)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
Frequency
3
1
5
5
3
(iii)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
Frequency
3
7
5
5
1
(iv)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
Frequency
3
5
3
5
1
(v)
Class-Interval
1 - 6
7 - 12
13 - 18
19 - 24
25 - 30
Frequency
3
3
5
5
1
Assignment Key
1) (ii)
2) (iii)
3) (iv)
4) (iv)
5) (ii)
6) (i)
7) (iii)
8) (iii)
9) (i)
10) (i)