EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Scores of 14 students are given below. Find the median score.
73
74
74
71
87
84
77
79
88
80
84
82
71
84
(i)
163
2
(ii)
159
2
(iii)
80
(iv)
161
2
Question
2
2.
Heights of 13 students (in cm) are given below. Find the mode height.
174
174
126
169
171
147
127
156
171
170
147
169
147
(i)
148
cm
(ii)
145
cm
(iii)
147
cm
(iv)
149
cm
(v)
146
cm
Question
3
3.
The marks obtained by 13 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
38
46
30
40
50
25
36
38
29
28
6
4
41
(i)
824
13
(ii)
820
13
(iii)
696
11
(iv)
316
5
(v)
822
13
Question
4
4.
Arrange the following data
35
16
29
19
14
13
26
28
31
20
in ascending order
(i)
26
31
33
40
36
31
14
17
33
25
(ii)
26
38
19
20
36
19
10
34
21
25
(iii)
38
37
40
10
18
16
26
37
39
29
(iv)
13
14
16
19
20
26
28
29
31
35
(v)
22
37
34
19
38
27
24
36
19
15
Question
5
5.
There are certain creatures in a zoo. Find the type of creature that has maximum presense in the zoo.
(i)
Birds
(ii)
Domestic animals
(iii)
Reptiles
(iv)
Water animals
(v)
Beast animals
Question
6
6.
Heights of 161 plants (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
22
9
16
34
41
8
(ii)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
9
22
11
34
41
8
(iii)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
22
13
11
34
41
8
(iv)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
8
9
11
34
41
22
(v)
Height (in cm)
66 - 72
73 - 79
80 - 86
87 - 93
94 - 100
101 - 107
108 - 114
No. of plants
36
22
9
11
34
41
8
Question
7
7.
The scores obtained by 8 students in a test are given below. Find the mean score.
10
7
5
9
17
13
1
4
(i)
16
(ii)
1
(iii)
8
(iv)
8
1
4
(v)
17
Question
8
8.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
No. of Patients
15
11
26
23
10
24
50
43
(ii)
Age (in years)
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
No. of Patients
15
43
29
23
10
24
50
11
(iii)
Age (in years)
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
No. of Patients
15
43
26
23
10
24
50
11
(iv)
Age (in years)
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
No. of Patients
15
43
26
23
5
24
50
11
(v)
Age (in years)
39 - 44
45 - 50
51 - 56
57 - 62
63 - 68
69 - 74
75 - 80
81 - 86
No. of Patients
15
43
23
26
10
24
50
11
Question
9
9.
Heights of 13 plants (in cm) are given below. Find the median height.
70
77
66
79
65
55
72
75
64
95
98
80
88
(i)
74
cm
(ii)
77
cm
(iii)
76
cm
(iv)
73
cm
(v)
75
cm
Question
10
10.
The frequency polygon is one drawn using
(i)
lower boundaries of classes and greater than cumulative frequencies
(ii)
upper boundaries of classes and cumulative frequencies
(iii)
end points of classes and frequencies
(iv)
mid point of classes and frequencies
Question
11
11.
Find the mean of all prime numbers between 50 and 60.
(i)
57
(ii)
59
(iii)
56
(iv)
55
(v)
54
Question
12
12.
Given below is the column-graph showing heights of some mountain peaks. Find the mountain that has 5051 m height.
(i)
Kanchenjunga
(ii)
Kilimanjaro
(iii)
Annapurna
(iv)
Mount Everest
(v)
Appalachian
Question
13
13.
The marks obtained by
17
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
.
79
55
41
43
68
42
74
46
40
54
60
70
47
52
51
55
43
(i)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
5
2
3
2
1
1
2
1
(ii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
5
2
5
2
1
1
2
1
(iii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
5
2
2
3
1
1
2
1
(iv)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
5
1
3
2
1
1
2
2
(v)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
No. of Students
5
2
3
2
5
1
2
1
Question
14
14.
Heights of 206 plants (in cm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Height (in cm)
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of plants
31
46
46
39
47
(ii)
Height (in cm)
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of plants
31
46
43
39
47
(iii)
Height (in cm)
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of plants
31
43
46
39
47
(iv)
Height (in cm)
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of plants
31
47
43
39
46
(v)
Height (in cm)
55 - 65
65 - 75
75 - 85
85 - 95
95 - 105
No. of plants
31
49
43
39
47
Question
15
15.
Weights of 31 students are given below. Find the mode.
Weight (in kg)
40
41
42
44
49
51
54
No. of students
8
1
5
3
6
5
3
(i)
39
kg
(ii)
38
kg
(iii)
41
kg
(iv)
40
kg
(v)
42
kg
Question
16
16.
Find the median of the first 10 even numbers.
(i)
10
(ii)
8
(iii)
11
(iv)
13
(v)
12
Question
17
17.
Ages of 30 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
5
7
2
7
5
4
(i)
62
5
years
(ii)
64
5
years
(iii)
63
5
years
(iv)
67
5
years
(v)
72
5
years
Question
18
18.
Daily wages of 190 labourers (in ₹) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Daily wage(in Rs)
264 - 272
273 - 281
282 - 290
291 - 299
300 - 308
309 - 317
No. of labourers
31
10
18
40
50
41
(ii)
Daily wage(in Rs)
264 - 272
273 - 281
282 - 290
291 - 299
300 - 308
309 - 317
No. of labourers
31
18
10
40
50
41
(iii)
Daily wage(in Rs)
264 - 272
273 - 281
282 - 290
291 - 299
300 - 308
309 - 317
No. of labourers
31
41
18
40
50
10
(iv)
Daily wage(in Rs)
264 - 272
273 - 281
282 - 290
291 - 299
300 - 308
309 - 317
No. of labourers
31
10
14
40
50
41
(v)
Daily wage(in Rs)
264 - 272
273 - 281
282 - 290
291 - 299
300 - 308
309 - 317
No. of labourers
31
10
18
38
50
41
Question
19
19.
Weights of 198 students (in kg) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of students
24
32
45
17
7
40
33
(ii)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of students
24
45
33
17
7
40
32
(iii)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of students
24
33
45
14
7
40
32
(iv)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of students
24
33
47
17
7
40
32
(v)
Weight (in kg)
40 - 48
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
No. of students
24
33
45
17
7
40
32
Question
20
20.
The mean of the below random sample is
27
1
10
.
Find the missing quantity.
40
x
36
29
49
16
10
19
23
34
(i)
15
(ii)
16
(iii)
14
(iv)
18
(v)
12
Question
21
21.
The marks obtained by 13 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 4.
12
49
3
20
10
39
34
20
29
14
15
39
26
(i)
360
13
(ii)
416
15
(iii)
362
13
(iv)
28
Question
22
22.
Given an even number of random samples with the middle two samples as
x +
30
and x +
32
and the median as
36
,
find the value of x.
(i)
4
(ii)
7
(iii)
6
(iv)
5
(v)
3
Question
23
23.
If the lower and upper limit of class interval are 13 and 22 respectively, then the class interval is
(i)
13
-
22
(ii)
12.5
-
22.5
(iii)
13
-
22.5
(iv)
13.5
-
21.5
(v)
12.5
-
22
Question
24
24.
Find the mean of first 9 multiples of 19.
(i)
96
(ii)
93
(iii)
98
(iv)
94
(v)
95
Question
25
25.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
23 - 31
x
32 - 40
8
41 - 49
24
50 - 58
9
59 - 67
26
(i)
22
-
32
(ii)
23
-
31
(iii)
22.5
-
32
(iv)
22.5
-
31.5
(v)
22
-
31.5
Assignment Key
1) (ii)
2) (iii)
3) (v)
4) (iv)
5) (i)
6) (v)
7) (iv)
8) (iii)
9) (v)
10) (iv)
11) (iii)
12) (iv)
13) (i)
14) (ii)
15) (iv)
16) (iii)
17) (i)
18) (i)
19) (v)
20) (i)
21) (iii)
22) (iv)
23) (i)
24) (v)
25) (iv)
