EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The marks obtained by 12 students in a test are given below. Find their mean marks.
3
37
46
30
13
18
34
4
31
24
7
46
(i)
49
2
(ii)
293
12
(iii)
97
4
(iv)
295
12
(v)
341
14
Question
2
2.
Heights of 276 plants (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
96 - 105
105 - 114
114 - 123
No. of plants
35
23
43
35
21
44
31
44
(ii)
Height (in cm)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
96 - 105
105 - 114
114 - 123
No. of plants
35
44
43
35
21
44
31
23
(iii)
Height (in cm)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
96 - 105
105 - 114
114 - 123
No. of plants
35
44
43
35
24
44
31
23
(iv)
Height (in cm)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
96 - 105
105 - 114
114 - 123
No. of plants
35
44
39
35
21
44
31
23
(v)
Height (in cm)
51 - 60
60 - 69
69 - 78
78 - 87
87 - 96
96 - 105
105 - 114
114 - 123
No. of plants
35
44
35
43
21
44
31
23
Question
3
3.
The mid value of the class with frequency x is
Class-Interval
Frequency
13 - 18
22
19 - 24
2
25 - 30
13
31 - 36
20
37 - 42
x
(i)
79
2
(ii)
81
2
(iii)
77
2
(iv)
40
(v)
157
4
Question
4
4.
Which of the following class intervals are in exclusive form?
a)
10 - 18 , 18 - 26 , 26 - 34,...
b)
10 - 18 , 19 - 27 , 28 - 36,...
c)
34 - 42 , 42 - 50 , 50 - 58...
d)
9.5 - 18.5 , 18.5 - 27.5 , 27.5 - 36.5...
e)
37 - 45 , 46 - 54 , 55 - 63,...
(i)
{e,c}
(ii)
{b,a}
(iii)
{a,c,d}
(iv)
{b,a,c}
(v)
{b,e,d}
Question
5
5.
The mean of
7
numbers is
8
5
7
.
Upon
excluding
one number,
the mean becomes
9
1
6
.
Find the
excluded
number.
(i)
4
(ii)
7
(iii)
5
(iv)
6
(v)
9
Question
6
6.
Find the cumulative frequency of class
42
-
51
.
Class-Interval
12 - 21
22 - 31
32 - 41
42 - 51
52 - 61
Frequency
19
24
19
6
12
(i)
68
(ii)
66
(iii)
67
(iv)
69
(v)
70
Question
7
7.
1548 students of a school use different modes of travel to school. Identify the table for the given bar diagram.
(i)
Mode of travel
Car
RTC Bus
By Foot
Bicycle
Auto
School Bus
No. of students
162
405
270
252
144
315
(ii)
Mode of travel
Car
RTC Bus
By Foot
Bicycle
Auto
School Bus
No. of students
144
315
405
270
162
252
(iii)
Mode of travel
Car
RTC Bus
By Foot
Bicycle
Auto
School Bus
No. of students
162
144
252
315
405
270
(iv)
Mode of travel
Car
RTC Bus
By Foot
Bicycle
Auto
School Bus
No. of students
405
162
315
270
252
144
(v)
Mode of travel
Car
RTC Bus
By Foot
Bicycle
Auto
School Bus
No. of students
270
144
315
405
252
162
Question
8
8.
Given class interval
26
-
31
in exclusive form, its
class mark is
(i)
29
(ii)
55
2
(iii)
57
2
(iv)
113
4
(v)
59
2
Question
9
9.
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
.
297
222
299
222
300
261
241
256
270
219
228
235
228
220
294
209
212
258
275
(i)
Wages (in rupees)
209 - 228
229 - 248
249 - 268
269 - 288
289 - 308
No. of Workers
8
2
3
2
4
(ii)
Wages (in rupees)
209 - 228
229 - 248
249 - 268
269 - 288
289 - 308
No. of Workers
8
2
7
2
4
(iii)
Wages (in rupees)
209 - 228
229 - 248
249 - 268
269 - 288
289 - 308
No. of Workers
8
4
3
2
2
(iv)
Wages (in rupees)
209 - 228
229 - 248
249 - 268
269 - 288
289 - 308
No. of Workers
8
6
3
2
4
(v)
Wages (in rupees)
209 - 228
229 - 248
249 - 268
269 - 288
289 - 308
No. of Workers
8
3
2
2
4
Question
10
10.
The marks obtained by 15 students in a test are given below. Find their median marks.
41
5
15
26
48
31
11
43
31
23
36
8
37
15
5
(i)
25
(ii)
23
(iii)
26
(iv)
27
(v)
29
Question
11
11.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
74 - 77
77 - 80
80 - 83
83 - 86
86 - 89
89 - 92
No. of Patients
30
11
41
37
26
40
(ii)
Age (in years)
74 - 77
77 - 80
80 - 83
83 - 86
86 - 89
89 - 92
No. of Patients
30
41
11
37
26
40
(iii)
Age (in years)
74 - 77
77 - 80
80 - 83
83 - 86
86 - 89
89 - 92
No. of Patients
30
40
41
37
26
11
(iv)
Age (in years)
74 - 77
77 - 80
80 - 83
83 - 86
86 - 89
89 - 92
No. of Patients
30
11
43
37
26
40
(v)
Age (in years)
74 - 77
77 - 80
80 - 83
83 - 86
86 - 89
89 - 92
No. of Patients
30
11
41
33
26
40
Question
12
12.
Rainfall of 20 days are given below. Find the mean.
Rainfall (in mm)
5
6
7
8
9
10
11
12
13
14
15
No. of days
1
2
2
2
3
1
1
2
2
2
2
(i)
223
20
mm
(ii)
203
20
mm
(iii)
41
4
mm
(iv)
51
5
mm
(v)
243
20
mm
Question
13
13.
The arithmetic mean of
26
13
9
17
40
14
is
(i)
21.83
(ii)
19.83
(iii)
20.83
(iv)
18.83
(v)
17.83
Question
14
14.
The class size used in the below table is
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
Frequency
8
23
6
13
19
5
24
(i)
7
(ii)
8
(iii)
10
(iv)
6
(v)
9
Question
15
15.
Ages of 13 students (in years) are given below. Find the mode age.
15
12
11
13
10
15
10
11
13
13
13
15
13
(i)
14
years
(ii)
12
years
(iii)
15
years
(iv)
13
years
(v)
11
years
Question
16
16.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
15 - 21
1
21 - 27
15
27 - 33
x
33 - 39
25
39 - 45
24
(i)
26.5
-
33.5
(ii)
27
-
33
(iii)
27.5
-
32.5
(iv)
27
-
33.5
(v)
26.5
-
33
Question
17
17.
Rainfall of 134 days (in mm) are given below.
Identify the class interval table for the given histogram.
(i)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
No. of days
25
41
36
16
16
(ii)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
No. of days
25
16
33
16
41
(iii)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
No. of days
25
14
36
16
41
(iv)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
No. of days
25
16
36
16
41
(v)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
No. of days
25
36
16
16
41
Question
18
18.
Find the median of all the factors of 30.
(i)
11
2
(ii)
21
4
(iii)
13
2
(iv)
9
2
(v)
6
Question
19
19.
Weights of 158 students (in kg) are given below.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of students
33
11
52
17
49
(ii)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of students
33
13
48
17
49
(iii)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of students
33
49
48
17
11
(iv)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of students
33
48
11
17
49
(v)
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of students
33
11
48
17
49
Question
20
20.
Given class interval
28
-
30
in exclusive form, its
mid value is
(i)
27
(ii)
30
(iii)
28
(iv)
29
(v)
31
Question
21
21.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
31 - 36
15
36 - 41
x
41 - 46
15
46 - 51
18
51 - 56
28
(i)
36.5
-
40.5
(ii)
35.5
-
41
(iii)
36
-
41.5
(iv)
35.5
-
41.5
(v)
36
-
41
Question
22
22.
There are 1332 creatures in a zoo as shown in the bar graph. Identify the table for the given bar diagram.
(i)
Type of Creatures
Wild animals
Land animals
Beast animals
Reptiles
Birds
Domestic animals
Water animals
No. of Creatures
108
153
243
315
207
117
189
(ii)
Type of Creatures
Wild animals
Land animals
Beast animals
Reptiles
Birds
Domestic animals
Water animals
No. of Creatures
243
108
117
207
315
189
153
(iii)
Type of Creatures
Wild animals
Land animals
Beast animals
Reptiles
Birds
Domestic animals
Water animals
No. of Creatures
315
117
243
108
207
153
189
(iv)
Type of Creatures
Wild animals
Land animals
Beast animals
Reptiles
Birds
Domestic animals
Water animals
No. of Creatures
189
153
207
117
108
243
315
(v)
Type of Creatures
Wild animals
Land animals
Beast animals
Reptiles
Birds
Domestic animals
Water animals
No. of Creatures
243
315
117
153
207
189
108
Question
23
23.
Convert the exclusive form of the class interval 39.5 - 49.5 to inclusive form
(i)
40.5
-
48.5
(ii)
39.5
-
49.5
(iii)
40
-
49
(iv)
40
-
49.5
(v)
39.5
-
49
Question
24
24.
Heights of 98 plants (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of plants
29
10
17
5
13
5
24
(ii)
Height (in cm)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of plants
29
10
12
10
13
5
24
(iii)
Height (in cm)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of plants
29
10
12
5
13
5
24
(iv)
Height (in cm)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of plants
29
12
10
5
13
5
24
(v)
Height (in cm)
54 - 63
64 - 73
74 - 83
84 - 93
94 - 103
104 - 113
114 - 123
No. of plants
29
24
12
5
13
5
10
Question
25
25.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
49 - 51
51 - 53
53 - 55
55 - 57
57 - 59
No. of students
11
9
24
27
12
(ii)
Weight (in kg)
49 - 51
51 - 53
53 - 55
55 - 57
57 - 59
No. of students
11
16
24
27
9
(iii)
Weight (in kg)
49 - 51
51 - 53
53 - 55
55 - 57
57 - 59
No. of students
11
12
24
27
9
(iv)
Weight (in kg)
49 - 51
51 - 53
53 - 55
55 - 57
57 - 59
No. of students
11
12
28
27
9
(v)
Weight (in kg)
49 - 51
51 - 53
53 - 55
55 - 57
57 - 59
No. of students
11
24
12
27
9
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (iii)
5) (iv)
6) (i)
7) (i)
8) (iii)
9) (i)
10) (iii)
11) (i)
12) (ii)
13) (ii)
14) (ii)
15) (iv)
16) (ii)
17) (iv)
18) (i)
19) (v)
20) (iv)
21) (v)
22) (i)
23) (iii)
24) (iii)
25) (iii)
