EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Scores of 15 students are given below. Find the mean.
Score
72
74
75
76
77
81
88
90
No. of students
3
1
2
1
1
2
3
2
(i)
80
(ii)
1214
15
(iii)
1199
15
(iv)
1229
15
(v)
1201
15
Question
2
2.
Wages of 15 labourers are given below. Find the median.
Wage (in rupees)
323
326
353
392
404
442
489
No. of labourers
3
2
2
3
1
3
1
(i)
₹
391.00
(ii)
₹
392.00
(iii)
₹
393.00
(iv)
₹
390.00
(v)
₹
394.00
Question
3
3.
Find the mean of all prime numbers between 50 and 100.
(i)
368
5
(ii)
366
5
(iii)
364
5
(iv)
220
3
(v)
512
7
Question
4
4.
Given class interval
31
-
36
in exclusive form, its
upper limit is
(i)
37
(ii)
39
(iii)
33
(iv)
35
(v)
36
Question
5
5.
Which of the following are continuous variables?
a)
Number of workers in a factory
b)
Weights of persons in a group
c)
Temperature at a place over a month
d)
Number of players in a team
e)
Population of cities
(i)
{d,c,b}
(ii)
{a,b}
(iii)
{b,c}
(iv)
{e,a,b}
(v)
{d,c}
Question
6
6.
Temperatures of 11 days are given below. Find the mode.
Temperature (in degree C)
27
29
32
34
35
No. of days
1
2
2
5
1
(i)
33
°C
(ii)
32
°C
(iii)
36
°C
(iv)
35
°C
(v)
34
°C
Question
7
7.
Given the mean of
12
samples as
12
7
12
,
what is the mean if a sample value is
decreased
by
15
?
(i)
32
3
(ii)
34
3
(iii)
12
(iv)
56
5
Question
8
8.
The mid value of the class with frequency x is
Class-Interval
Frequency
11 - 21
24
22 - 32
30
33 - 43
x
44 - 54
24
55 - 65
5
(i)
35
(ii)
37
(iii)
40
(iv)
38
(v)
39
Question
9
9.
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)
10 - 15
16 - 21
22 - 27
28 - 33
No. of Patients
29
60
32
44
(i)
Age (in years)
Cumulative Frequency
10 - 15
29
16 - 21
61
22 - 27
121
28 - 33
165
(ii)
Age (in years)
Cumulative Frequency
10 - 15
29
16 - 21
89
22 - 27
126
28 - 33
170
(iii)
Age (in years)
Cumulative Frequency
10 - 15
44
16 - 21
104
22 - 27
136
28 - 33
165
(iv)
Age (in years)
Cumulative Frequency
10 - 15
29
16 - 21
92
22 - 27
124
28 - 33
168
(v)
Age (in years)
Cumulative Frequency
10 - 15
29
16 - 21
89
22 - 27
121
28 - 33
165
Question
10
10.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
37 - 41
41 - 45
45 - 49
49 - 53
53 - 57
No. of Patients
30
42
43
24
46
(ii)
Age (in years)
37 - 41
41 - 45
45 - 49
49 - 53
53 - 57
No. of Patients
30
44
43
24
46
(iii)
Age (in years)
37 - 41
41 - 45
45 - 49
49 - 53
53 - 57
No. of Patients
30
46
43
24
44
(iv)
Age (in years)
37 - 41
41 - 45
45 - 49
49 - 53
53 - 57
No. of Patients
30
44
40
24
46
(v)
Age (in years)
37 - 41
41 - 45
45 - 49
49 - 53
53 - 57
No. of Patients
30
43
44
24
46
Question
11
11.
The class mark of the class with frequency x is
Class-Interval
Frequency
18 - 23
16
24 - 29
28
30 - 35
x
36 - 41
23
42 - 47
1
(i)
129
4
(ii)
67
2
(iii)
33
(iv)
65
2
(v)
63
2
Question
12
12.
Heights of 11 plants (in cm) are given below. Find the median height.
72
78
61
71
55
86
62
50
87
74
78
(i)
71
cm
(ii)
70
cm
(iii)
73
cm
(iv)
74
cm
(v)
72
cm
Question
13
13.
Find the mean of the first 10 even numbers.
(i)
10
(ii)
12
(iii)
13
(iv)
9
(v)
11
Question
14
14.
If the length of the class is 6, then the number of class intervals needed to represent data with range 50 is
(i)
10
(ii)
9
(iii)
7
(iv)
11
(v)
8
Question
15
15.
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)
200 - 220
220 - 240
240 - 260
260 - 280
280 - 300
300 - 320
Labourers
16
15
19
6
3
9
(i)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
220 - 240
31
240 - 260
47
260 - 280
53
280 - 300
56
300 - 320
65
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
220 - 240
31
240 - 260
50
260 - 280
51
280 - 300
54
300 - 320
63
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
220 - 240
25
240 - 260
44
260 - 280
50
280 - 300
53
300 - 320
68
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
220 - 240
31
240 - 260
50
260 - 280
56
280 - 300
59
300 - 320
68
(v)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
220 - 240
35
240 - 260
50
260 - 280
56
280 - 300
59
300 - 320
68
Question
16
16.
Rainfall of 12 days (in mm) are given below. Find the median rainfall.
7
11
5
5
11
6
6
10
5
7
9
7
(i)
6
mm
(ii)
5
mm
(iii)
8
mm
(iv)
7
mm
(v)
9
mm
Question
17
17.
The lower limit of the class with frequency x is
Class-Interval
Frequency
47 - 55
29
56 - 64
x
65 - 73
2
74 - 82
9
83 - 91
22
(i)
58
(ii)
57
(iii)
54
(iv)
55
(v)
56
Question
18
18.
Given class interval
18
-
24
in exclusive form, its
lower limit is
(i)
19
(ii)
17
(iii)
21
(iv)
18
(v)
15
Question
19
19.
The mid value of the class with frequency x is
Class-Interval
Frequency
4 - 14
5
14 - 24
16
24 - 34
9
34 - 44
x
44 - 54
2
(i)
38
(ii)
36
(iii)
40
(iv)
41
(v)
39
Question
20
20.
Daily wages of 11 labourers (in ₹) are given below. Find the median wage.
475
473
481
475
380
489
326
402
496
363
327
(i)
₹
473.00
(ii)
₹
471.00
(iii)
₹
472.00
(iv)
₹
475.00
(v)
₹
474.00
Question
21
21.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
1
-
5
as the first class,
then the observation
29
falls in which class?
(i)
25.5
-
30.5
(ii)
25
-
29
(iii)
26
-
30
(iv)
27
-
31
(v)
26.5
-
29.5
Question
22
22.
In inclusive form representation, the observation
56
falls in which class?
(i)
46
-
56
(ii)
41
-
51
(iii)
36
-
46
(iv)
45
-
55
(v)
57
-
66
Question
23
23.
Which of the following class intervals are in exclusive form?
a)
49 - 59 , 60 - 70 , 71 - 81,...
b)
46 - 56 , 56 - 66 , 66 - 76...
c)
15.5 - 26.5 , 26.5 - 37.5 , 37.5 - 48.5...
d)
16 - 26 , 27 - 37 , 38 - 48,...
e)
16 - 26 , 26 - 36 , 36 - 46,...
(i)
{a,b,c}
(ii)
{a,b}
(iii)
{b,c,e}
(iv)
{d,c}
(v)
{a,d,e}
Question
24
24.
Heights of 25 plants are given below. Find the median.
Height (in cm)
52
55
56
58
72
79
81
95
No. of plants
3
4
4
2
2
2
5
3
(i)
56
cm
(ii)
60
cm
(iii)
58
cm
(iv)
57
cm
(v)
59
cm
Question
25
25.
The class marks of a frequency distribution are
28 , 36 , 44 , 52
.
Find the class size and class intervals
in exclusive form
(i)
9
;
24
-
32
,
33
-
41
,
42
-
50
,
51
-
59
(ii)
8
;
23
-
31
,
31
-
39
,
39
-
47
,
47
-
55
(iii)
8
;
24
-
32
,
32
-
40
,
40
-
48
,
48
-
56
(iv)
8
;
25
-
33
,
33
-
41
,
41
-
49
,
49
-
57
(v)
10
;
23
-
32
,
33
-
42
,
43
-
52
,
53
-
62
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (v)
5) (iii)
6) (v)
7) (ii)
8) (iv)
9) (v)
10) (ii)
11) (iv)
12) (v)
13) (v)
14) (ii)
15) (iv)
16) (iv)
17) (v)
18) (iv)
19) (v)
20) (i)
21) (iii)
22) (i)
23) (iii)
24) (iii)
25) (iii)
