EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Heights of 30 students are given below. Find the mean.
Height (in cm)
125
134
136
147
161
163
171
175
No. of students
7
3
1
5
5
2
4
3
(i)
748
5
cm
(ii)
150
cm
(iii)
753
5
cm
(iv)
749
5
cm
(v)
758
5
cm
Question
2
2.
Weights of 14 students (in kg) are given below. Find the median weight.
43
53
46
49
59
51
43
54
48
47
60
50
54
40
(i)
103
2
kg
(ii)
101
2
kg
(iii)
50
kg
(iv)
99
2
kg
Question
3
3.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of Patients
20
47
18
10
17
19
29
25
(ii)
Age (in years)
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of Patients
20
47
23
10
17
19
29
25
(iii)
Age (in years)
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of Patients
20
25
18
10
17
19
29
47
(iv)
Age (in years)
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of Patients
20
47
18
10
14
19
29
25
(v)
Age (in years)
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
73 - 78
79 - 84
85 - 90
No. of Patients
20
47
10
18
17
19
29
25
Question
4
4.
The marks obtained by 15 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 7.
12
7
1
48
34
49
49
23
41
13
24
41
28
5
29
(i)
509
15
(ii)
443
13
(iii)
169
5
(iv)
575
17
(v)
511
15
Question
5
5.
Identify the cumulative frequency of the given grouped data.
class interval
43 - 49
49 - 55
55 - 61
61 - 67
67 - 73
73 - 79
frequency
23
16
7
7
11
11
(i)
class interval
Cumulative Frequency
43 - 49
23
49 - 55
39
55 - 61
46
61 - 67
51
67 - 73
62
73 - 79
73
(ii)
class interval
Cumulative Frequency
43 - 49
23
49 - 55
39
55 - 61
42
61 - 67
49
67 - 73
60
73 - 79
71
(iii)
class interval
Cumulative Frequency
43 - 49
23
49 - 55
34
55 - 61
41
61 - 67
48
67 - 73
59
73 - 79
75
(iv)
class interval
Cumulative Frequency
43 - 49
23
49 - 55
30
55 - 61
46
61 - 67
53
67 - 73
64
73 - 79
75
(v)
class interval
Cumulative Frequency
43 - 49
23
49 - 55
39
55 - 61
46
61 - 67
53
67 - 73
64
73 - 79
75
Question
6
6.
Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
Age (in years)
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of Patients
84
58
46
84
32
79
(i)
Age (in years)
Cumulative Frequency
20 - 30
84
31 - 41
142
42 - 52
184
53 - 63
268
64 - 74
300
75 - 85
379
(ii)
Age (in years)
Cumulative Frequency
20 - 30
84
31 - 41
130
42 - 52
188
53 - 63
272
64 - 74
304
75 - 85
383
(iii)
Age (in years)
Cumulative Frequency
20 - 30
84
31 - 41
163
42 - 52
209
53 - 63
293
64 - 74
325
75 - 85
383
(iv)
Age (in years)
Cumulative Frequency
20 - 30
84
31 - 41
142
42 - 52
188
53 - 63
272
64 - 74
304
75 - 85
383
(v)
Age (in years)
Cumulative Frequency
20 - 30
84
31 - 41
142
42 - 52
188
53 - 63
269
64 - 74
301
75 - 85
380
Question
7
7.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 340
341 - 381
382 - 422
423 - 463
464 - 504
505 - 545
Labourers
13
19
8
10
3
2
(i)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
15
382 - 422
23
423 - 463
33
464 - 504
36
505 - 545
55
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
32
382 - 422
40
423 - 463
50
464 - 504
53
505 - 545
55
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
32
382 - 422
45
423 - 463
55
464 - 504
58
505 - 545
60
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
21
382 - 422
40
423 - 463
50
464 - 504
53
505 - 545
55
(v)
Wages (in rupees)
Cumulative Frequency
300 - 340
13
341 - 381
32
382 - 422
40
423 - 463
47
464 - 504
50
505 - 545
52
Question
8
8.
Daily wages of 142 labourers (in ₹) are given below.
Identify the class interval table for the given histogram.
(i)
Daily wage (in Rs)
221 - 229
230 - 238
239 - 247
248 - 256
257 - 265
No. of labourers
48
28
23
15
24
(ii)
Daily wage (in Rs)
221 - 229
230 - 238
239 - 247
248 - 256
257 - 265
No. of labourers
48
32
19
15
24
(iii)
Daily wage (in Rs)
221 - 229
230 - 238
239 - 247
248 - 256
257 - 265
No. of labourers
48
24
23
15
32
(iv)
Daily wage (in Rs)
221 - 229
230 - 238
239 - 247
248 - 256
257 - 265
No. of labourers
48
23
32
15
24
(v)
Daily wage (in Rs)
221 - 229
230 - 238
239 - 247
248 - 256
257 - 265
No. of labourers
48
32
23
15
24
Question
9
9.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 320
320 - 340
340 - 360
360 - 380
380 - 400
400 - 420
Labourers
5
11
8
20
16
15
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
5
320 - 340
16
340 - 360
24
360 - 380
42
380 - 400
58
400 - 420
73
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
5
320 - 340
16
340 - 360
27
360 - 380
47
380 - 400
63
400 - 420
78
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
5
320 - 340
16
340 - 360
24
360 - 380
44
380 - 400
60
400 - 420
75
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
5
320 - 340
20
340 - 360
28
360 - 380
48
380 - 400
64
400 - 420
75
(v)
Wages (in rupees)
Cumulative Frequency
300 - 320
5
320 - 340
13
340 - 360
24
360 - 380
44
380 - 400
60
400 - 420
75
Question
10
10.
Find the mean of the first 20 odd numbers.
(i)
19
(ii)
22
(iii)
20
(iv)
18
(v)
21
Question
11
11.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
7
as the first class,
then the observation
20
falls in which class?
(i)
15
-
21
(ii)
16
-
22
(iii)
15.5
-
20.5
(iv)
14
-
20
(v)
14.5
-
21.5
Question
12
12.
Scores of 31 students are given below. Find the mode.
Score
70
72
75
78
82
84
86
87
89
No. of students
4
3
3
3
1
3
4
6
4
(i)
85
(ii)
87
(iii)
86
(iv)
89
(v)
88
Question
13
13.
Find the median of all the factors of 40.
(i)
15
2
(ii)
11
2
(iii)
25
4
(iv)
13
2
(v)
7
Question
14
14.
The class mark of the class with frequency x is
Class-Interval
Frequency
12 - 17
25
18 - 23
x
24 - 29
13
30 - 35
3
36 - 41
16
(i)
39
2
(ii)
43
2
(iii)
41
2
(iv)
21
(v)
81
4
Question
15
15.
Find the mean of first 9 multiples of 5.
(i)
24
(ii)
22
(iii)
26
(iv)
28
(v)
25
Question
16
16.
Temperatures of 16 days are given below. Find the mode.
Temperature (in degree C)
26
27
28
29
32
33
34
35
No. of days
1
1
6
1
1
3
1
2
(i)
30
°C
(ii)
26
°C
(iii)
27
°C
(iv)
29
°C
(v)
28
°C
Question
17
17.
Temperatures of 30 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
29
30
31
32
33
34
35
No. of days
2
3
5
4
5
1
2
3
2
3
(i)
478
15
°C
(ii)
463
15
°C
(iii)
448
15
°C
(iv)
449
15
°C
(v)
30
°C
Question
18
18.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
31 - 36
41
36 - 41
35
41 - 46
27
46 - 51
17
51 - 56
5
(i)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
6
10
8
12
5
(ii)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
6
6
10
12
5
(iii)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
6
8
10
12
5
(iv)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
6
8
7
12
5
(v)
Class-Interval
31 - 36
36 - 41
41 - 46
46 - 51
51 - 56
Frequency
6
5
10
12
8
Question
19
19.
Wages of 15 labourers are given below. Find the mean.
Wage (in rupees)
312
323
327
391
450
470
474
No. of labourers
2
2
2
4
2
2
1
(i)
₹
387.00
(ii)
₹
387.20
(iii)
₹
386.80
(iv)
₹
388.80
(v)
₹
387.80
Question
20
20.
Heights of 14 plants (in cm) are given below. Find the mean height.
61
100
69
93
74
88
57
78
52
57
100
96
52
60
(i)
1037
14
cm
(ii)
1051
14
cm
(iii)
519
7
cm
(iv)
1039
14
cm
(v)
1065
14
cm
Question
21
21.
Heights of 14 plants (in cm) are given below. Find the mode height.
96
97
59
93
58
80
51
86
66
71
75
53
71
71
(i)
70
cm
(ii)
72
cm
(iii)
73
cm
(iv)
71
cm
(v)
69
cm
Question
22
22.
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
5
.
50
42
53
78
49
57
79
50
74
60
52
59
53
65
57
47
(i)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
1
4
3
4
5
0
1
2
(ii)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
1
2
3
4
1
0
1
4
(iii)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
1
4
4
3
1
0
1
2
(iv)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
1
4
3
4
1
0
1
2
(v)
Marks
42 - 47
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
1
4
7
4
1
0
1
2
Question
23
23.
Wages of 30 labourers are given below. Find the median.
Wage (in rupees)
369
382
401
435
447
451
460
No. of labourers
3
4
5
3
5
5
5
(i)
₹
442.00
(ii)
₹
443.00
(iii)
₹
441.00
(iv)
₹
440.00
(v)
₹
439.00
Question
24
24.
Scores of 25 students are given below. Find the median.
Score
70
75
80
84
85
88
89
No. of students
3
5
3
5
3
3
3
(i)
85
(ii)
82
(iii)
86
(iv)
84
(v)
83
Question
25
25.
The arithmetic mean of
28
2
26
45
38
is
(i)
25.8
(ii)
27.8
(iii)
26.8
(iv)
28.8
(v)
29.8
Assignment Key
1) (i)
2) (iv)
3) (i)
4) (i)
5) (v)
6) (iv)
7) (ii)
8) (v)
9) (iii)
10) (iii)
11) (i)
12) (ii)
13) (iv)
14) (iii)
15) (v)
16) (v)
17) (iii)
18) (iii)
19) (iii)
20) (i)
21) (iv)
22) (iv)
23) (iii)
24) (iv)
25) (ii)
