EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Find the mean of first 9 whole numbers.
(i)
3
(ii)
5
(iii)
2
(iv)
6
(v)
4
Question
2
2.
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 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
No. of Patients
72
88
90
16
32
27
53
60
(i)
Age (in years)
Cumulative Frequency
20 - 25
72
25 - 30
132
30 - 35
222
35 - 40
238
40 - 45
270
45 - 50
297
50 - 55
350
55 - 60
438
(ii)
Age (in years)
Cumulative Frequency
20 - 25
72
25 - 30
160
30 - 35
250
35 - 40
266
40 - 45
295
45 - 50
322
50 - 55
375
55 - 60
435
(iii)
Age (in years)
Cumulative Frequency
20 - 25
72
25 - 30
160
30 - 35
250
35 - 40
266
40 - 45
298
45 - 50
325
50 - 55
378
55 - 60
438
(iv)
Age (in years)
Cumulative Frequency
20 - 25
72
25 - 30
160
30 - 35
176
35 - 40
266
40 - 45
298
45 - 50
325
50 - 55
378
55 - 60
438
(v)
Age (in years)
Cumulative Frequency
20 - 25
72
25 - 30
160
30 - 35
252
35 - 40
268
40 - 45
300
45 - 50
327
50 - 55
380
55 - 60
440
Question
3
3.
Convert the exclusive form of the class interval 11.5 - 19.5 to inclusive form
(i)
12.5
-
18.5
(ii)
11.5
-
19
(iii)
12
-
19.5
(iv)
12
-
19
(v)
11.5
-
19.5
Question
4
4.
Given an even number of random samples with the middle two samples as
x +
26
and x +
29
and the median as
36
1
2
,
find the value of x.
(i)
12
(ii)
9
(iii)
8
(iv)
7
(v)
10
Question
5
5.
Find the median of all the factors of 20.
(i)
17
4
(ii)
9
2
(iii)
11
2
(iv)
5
(v)
7
2
Question
6
6.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
33 - 39
4
39 - 45
12
45 - 51
19
51 - 57
x
57 - 63
19
(i)
50.5
-
57.5
(ii)
51
-
57
(iii)
51
-
57.5
(iv)
50.5
-
57
(v)
51.5
-
56.5
Question
7
7.
Ages of 10 students are given below. Find the mean.
Age (in years)
11
12
14
15
No. of students
1
2
4
3
(i)
68
5
years
(ii)
69
5
years
(iii)
14
years
(iv)
73
5
years
(v)
78
5
years
Question
8
8.
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 4.
34
8
9
46
19
16
1
16
48
10
17
8
27
2
49
(i)
76
3
(ii)
26
(iii)
74
3
(iv)
122
5
(v)
24
Question
9
9.
The class boundaries of 49 - 59 which is in exclusive form are
(i)
49
-
59
(ii)
49
-
59.5
(iii)
48.5
-
59.5
(iv)
48.5
-
59
(v)
49.5
-
58.5
Question
10
10.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of students
25
14
18
8
23
23
15
22
(ii)
Weight (in kg)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of students
25
22
8
18
23
23
15
14
(iii)
Weight (in kg)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of students
25
14
8
18
26
23
15
22
(iv)
Weight (in kg)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of students
25
14
8
18
23
23
15
22
(v)
Weight (in kg)
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
59 - 64
64 - 69
No. of students
25
14
5
18
23
23
15
22
Question
11
11.
Temperatures of 14 days (in °C) are given below. Find the mean temperature.
33
34
31
25
28
33
33
28
30
28
34
35
27
28
(i)
63
2
°C
(ii)
31
°C
(iii)
65
2
°C
(iv)
61
2
°C
Question
12
12.
The daily wages (in rupees) of
16
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
260
285
221
224
205
260
212
216
294
277
285
274
216
276
270
(i)
Wages (in rupees)
205 - 224
225 - 244
245 - 264
265 - 284
285 - 304
No. of Workers
6
2
0
4
4
(ii)
Wages (in rupees)
205 - 224
225 - 244
245 - 264
265 - 284
285 - 304
No. of Workers
6
4
2
4
4
(iii)
Wages (in rupees)
205 - 224
225 - 244
245 - 264
265 - 284
285 - 304
No. of Workers
6
0
5
4
4
(iv)
Wages (in rupees)
205 - 224
225 - 244
245 - 264
265 - 284
285 - 304
No. of Workers
6
0
2
4
4
(v)
Wages (in rupees)
205 - 224
225 - 244
245 - 264
265 - 284
285 - 304
No. of Workers
6
4
2
4
0
Question
13
13.
If the lower and upper limit of class interval are 25 and 31 respectively, then the class interval is
(i)
24.5
-
31
(ii)
25.5
-
30.5
(iii)
25
-
31.5
(iv)
24.5
-
31.5
(v)
25
-
31
Question
14
14.
Identify the cumulative frequency of the given grouped data.
class interval
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
frequency
23
11
21
11
24
16
5
7
(i)
class interval
Cumulative Frequency
25 - 30
23
30 - 35
34
35 - 40
45
40 - 45
66
45 - 50
90
50 - 55
106
55 - 60
111
60 - 65
118
(ii)
class interval
Cumulative Frequency
25 - 30
23
30 - 35
34
35 - 40
55
40 - 45
66
45 - 50
93
50 - 55
109
55 - 60
114
60 - 65
121
(iii)
class interval
Cumulative Frequency
25 - 30
23
30 - 35
34
35 - 40
55
40 - 45
66
45 - 50
90
50 - 55
106
55 - 60
111
60 - 65
118
(iv)
class interval
Cumulative Frequency
25 - 30
23
30 - 35
34
35 - 40
59
40 - 45
70
45 - 50
94
50 - 55
110
55 - 60
115
60 - 65
122
(v)
class interval
Cumulative Frequency
25 - 30
23
30 - 35
30
35 - 40
51
40 - 45
62
45 - 50
86
50 - 55
102
55 - 60
107
60 - 65
118
Question
15
15.
The arithmetic mean of a + 2, a, and a - 2 is
(i)
a - 2
(ii)
a + 2
(iii)
a
(iv)
3a
Question
16
16.
Given class interval
47
-
57
in exclusive form, its
lower limit is
(i)
48
(ii)
47
(iii)
50
(iv)
44
(v)
46
Question
17
17.
Scores of 30 students are given below. Find the median.
Score
70
71
73
75
77
82
86
No. of students
3
2
1
6
5
4
9
(i)
78
(ii)
75
(iii)
76
(iv)
77
(v)
79
Question
18
18.
Given the sample data, prepare the class interval table in
exclusive
form with
3
as min value and a class size of
7
.
3
29
27
44
13
6
26
32
30
26
39
14
23
4
44
12
17
5
(i)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
Frequency
4
3
2
5
1
3
(ii)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
Frequency
4
2
3
5
1
3
(iii)
Class-Interval
3 - 9
10 - 16
17 - 23
24 - 30
31 - 37
38 - 44
Frequency
4
3
2
5
1
3
(iv)
Class-Interval
3 - 10
10 - 17
17 - 24
24 - 31
31 - 38
38 - 45
Frequency
4
3
6
5
1
3
Question
19
19.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
16 - 23
4
23 - 30
6
30 - 37
25
37 - 44
8
44 - 51
x
(i)
44
-
51
(ii)
44.5
-
50.5
(iii)
43.5
-
51.5
(iv)
44
-
51.5
(v)
43.5
-
51
Question
20
20.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of Patients
34
10
21
14
23
(ii)
Age (in years)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of Patients
34
17
10
14
23
(iii)
Age (in years)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of Patients
34
15
17
14
23
(iv)
Age (in years)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of Patients
34
10
17
14
23
(v)
Age (in years)
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
No. of Patients
34
23
17
14
10
Question
21
21.
Wages of 15 labourers are given below. Find the mean.
Wage (in rupees)
336
345
366
370
376
466
468
483
No. of labourers
1
1
2
3
2
2
2
2
(i)
₹
408.27
(ii)
₹
407.40
(iii)
₹
409.27
(iv)
₹
407.33
(v)
₹
407.27
Question
22
22.
Given the mean of
14
samples as
10
,
what is the mean if a sample value is
increased
by
17
?
(i)
157
14
(ii)
45
4
(iii)
155
14
(iv)
159
14
(v)
179
16
Question
23
23.
Heights of 21 students are given below. Find the mode.
Height (in cm)
131
133
142
144
150
153
165
No. of students
5
3
3
3
2
2
3
(i)
130
cm
(ii)
131
cm
(iii)
129
cm
(iv)
133
cm
(v)
132
cm
Question
24
24.
The mean of
9
numbers is
9
2
3
.
Upon
excluding
one number,
the mean becomes
9
1
4
.
Find the
excluded
number.
(i)
11
(ii)
14
(iii)
13
(iv)
12
(v)
16
Question
25
25.
Find the cumulative frequency of class
81
-
90
.
Class-Interval
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
Frequency
10
25
13
14
17
13
17
(i)
95
(ii)
91
(iii)
90
(iv)
92
(v)
93
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (ii)
5) (ii)
6) (ii)
7) (i)
8) (iii)
9) (i)
10) (iv)
11) (iv)
12) (iv)
13) (v)
14) (iii)
15) (iii)
16) (ii)
17) (iv)
18) (i)
19) (i)
20) (iv)
21) (v)
22) (i)
23) (ii)
24) (iii)
25) (iv)
