EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Scores of 10 students are given below. Find the mean.
Score
74
76
79
88
90
No. of students
1
4
1
1
3
(i)
167
2
(ii)
163
2
(iii)
82
(iv)
165
2
Question
2
2.
Rainfall of 15 days (in mm) are given below. Find the mode rainfall.
6
10
8
14
10
11
6
9
12
7
9
13
14
7
6
(i)
7
mm
(ii)
6
mm
(iii)
5
mm
(iv)
4
mm
(v)
8
mm
Question
3
3.
Given class interval
16
-
26
in exclusive form, its
mid value is
(i)
22
(ii)
18
(iii)
20
(iv)
23
(v)
21
Question
4
4.
Daily wages of 160 labourers (in ₹) are given below.
Identify the class interval table for the given histogram.
(i)
Daily wage (in Rs)
245 - 255
255 - 265
265 - 275
275 - 285
285 - 295
295 - 305
No. of labourers
43
10
30
11
40
26
(ii)
Daily wage (in Rs)
245 - 255
255 - 265
265 - 275
275 - 285
285 - 295
295 - 305
No. of labourers
43
26
30
11
40
10
(iii)
Daily wage (in Rs)
245 - 255
255 - 265
265 - 275
275 - 285
285 - 295
295 - 305
No. of labourers
43
10
33
11
40
26
(iv)
Daily wage (in Rs)
245 - 255
255 - 265
265 - 275
275 - 285
285 - 295
295 - 305
No. of labourers
43
30
10
11
40
26
(v)
Daily wage (in Rs)
245 - 255
255 - 265
265 - 275
275 - 285
285 - 295
295 - 305
No. of labourers
43
10
30
7
40
26
Question
5
5.
The air distance of some cities from Delhi (in km) are given below. Find the city that has maximum distance.
(i)
Kanpur
(ii)
Mangalore
(iii)
Chandigarh
(iv)
Mysore
(v)
Visakhapatnam
Question
6
6.
Weights of 11 students (in kg) are given below. Find the mode weight.
56
41
48
49
41
48
42
55
53
40
41
(i)
42
kg
(ii)
39
kg
(iii)
43
kg
(iv)
41
kg
(v)
40
kg
Question
7
7.
Which of the following tables represent the given histogram with varying base widths
(i)
Temperature (in degree)
34 - 74
74 - 84
84 - 124
124 - 134
No. of days
9
6
12
13
(ii)
Temperature (in degree)
34 - 74
74 - 84
84 - 124
124 - 134
No. of days
9
4
12
13
(iii)
Temperature (in degree)
34 - 74
74 - 84
84 - 124
124 - 134
No. of days
2
6
3
13
(iv)
Temperature (in degree)
34 - 74
74 - 84
84 - 124
124 - 134
No. of days
2
6
5
13
(v)
Temperature (in degree)
34 - 74
74 - 84
84 - 124
124 - 134
No. of days
9
6
9
13
Question
8
8.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
Frequency
46
36
43
40
15
(i)
Class-Interval
19.5 - 29.5
30.5 - 40.5
41.5 - 51.5
52.5 - 62.5
63.5 - 73.5
Frequency
46
36
43
40
15
(ii)
Class-Interval
18.5 - 29
29.5 - 40
40.5 - 51
51.5 - 62
62.5 - 73
Frequency
46
36
43
40
15
(iii)
Class-Interval
19 - 29
29 - 39
39 - 49
49 - 59
59 - 69
Frequency
12
32
27
42
37
(iv)
Class-Interval
18.5 - 28.5
29.5 - 39.5
40.5 - 50.5
51.5 - 61.5
62.5 - 72.5
Frequency
46
36
43
40
15
(v)
Class-Interval
18.5 - 29.5
29.5 - 40.5
40.5 - 51.5
51.5 - 62.5
62.5 - 73.5
Frequency
46
36
43
40
15
Question
9
9.
Scores of 208 students are given below.
Identify the class interval table for the given histogram.
(i)
Score
88 - 97
98 - 107
108 - 117
118 - 127
128 - 137
138 - 147
148 - 157
158 - 167
No. of students
10
45
42
10
14
19
33
30
(ii)
Score
88 - 97
98 - 107
108 - 117
118 - 127
128 - 137
138 - 147
148 - 157
158 - 167
No. of students
10
30
42
10
19
19
33
45
(iii)
Score
88 - 97
98 - 107
108 - 117
118 - 127
128 - 137
138 - 147
148 - 157
158 - 167
No. of students
10
45
42
10
19
19
33
30
(iv)
Score
88 - 97
98 - 107
108 - 117
118 - 127
128 - 137
138 - 147
148 - 157
158 - 167
No. of students
10
45
10
42
19
19
33
30
(v)
Score
88 - 97
98 - 107
108 - 117
118 - 127
128 - 137
138 - 147
148 - 157
158 - 167
No. of students
10
45
38
10
19
19
33
30
Question
10
10.
Weights of 10 students are given below. Find the median.
Weight (in kg)
40
45
51
53
54
55
59
No. of students
1
2
2
1
1
1
2
(i)
54
kg
(ii)
51
kg
(iii)
50
kg
(iv)
53
kg
(v)
52
kg
Question
11
11.
If the mean of
4
3
6
x
9
7
is
5
1
6
,
find the value of x.
(i)
0
(ii)
3
(iii)
4
(iv)
2
(v)
1
Question
12
12.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
107 - 117
Frequency
24
37
28
34
49
50
48
(ii)
Class-Interval
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
107 - 117
Frequency
24
28
48
34
49
50
37
(iii)
Class-Interval
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
107 - 117
Frequency
24
48
28
34
49
50
37
(iv)
Class-Interval
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
107 - 117
Frequency
24
48
30
34
49
50
37
(v)
Class-Interval
47 - 57
57 - 67
67 - 77
77 - 87
87 - 97
97 - 107
107 - 117
Frequency
24
48
28
36
49
50
37
Question
13
13.
The marks obtained by
15
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in inclusive form
taking class size
6
.
41
42
66
78
49
66
60
55
64
75
55
44
51
76
58
(i)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of Students
3
2
3
5
2
2
1
(ii)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of Students
3
1
3
2
2
2
2
(iii)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of Students
3
2
3
2
2
2
1
(iv)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of Students
3
2
7
2
2
2
1
(v)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
71 - 76
77 - 82
No. of Students
3
3
2
2
2
2
1
Question
14
14.
Marks obtained by 129 students of a class in an examination are given below.
Identify the class interval table for the given frequency polygon.
(i)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
21
10
22
27
9
13
19
8
(ii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
21
10
22
27
14
13
19
8
(iii)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
21
10
27
22
9
13
19
8
(iv)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
21
10
26
27
9
13
19
8
(v)
Marks
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
35 - 40
No. of students
21
8
22
27
9
13
19
10
Question
15
15.
Which of the following are continuous variables?
a)
Temperature at a place over a month
b)
Rainfall at a place over a month
c)
Number of members in a family
d)
Marks obtained by student in a particular subject
e)
Number of workers in a factory
(i)
{e,c,a}
(ii)
{d,b}
(iii)
{d,b,a}
(iv)
{c,a}
(v)
{a,b}
Question
16
16.
Identify the frequency distribution table for the given heights of 13 students in cm
165
157
172
158
152
174
161
150
153
174
157
172
170
(i)
Height (in cm)
153
155
159
161
165
166
168
171
172
175
177
No. of Students
1
2
2
1
1
1
1
1
1
1
1
(ii)
Height (in cm)
150
152
153
157
158
161
165
170
172
174
No. of Students
1
1
1
2
1
1
1
1
2
2
(iii)
Height (in cm)
152
153
156
161
162
163
165
169
171
175
178
179
No. of Students
1
1
1
1
1
1
1
1
1
2
1
1
(iv)
Height (in cm)
150
152
153
157
158
161
165
170
172
174
No. of Students
1
1
1
3
1
1
1
1
1
2
Question
17
17.
Given the bar graph, find the minimum frequency
(i)
5
(ii)
10
(iii)
20
(iv)
25
(v)
15
Question
18
18.
Which of the following are discrete variables?
a)
Temperature at a place over a month
b)
Number of workers in a factory
c)
Marks obtained by student in a particular subject
d)
Rainfall at a place over a month
e)
Weights of persons in a group
(i)
{e,a,b}
(ii)
{b,c}
(iii)
{d,c}
(iv)
{d,c,b}
(v)
{a,b}
Question
19
19.
Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Cost of living index (in rupees)
112 - 118
119 - 125
126 - 132
133 - 139
140 - 146
147 - 153
No. of weeks
10
6
7
8
10
6
(ii)
Cost of living index (in rupees)
112 - 118
119 - 125
126 - 132
133 - 139
140 - 146
147 - 153
No. of weeks
10
6
7
10
10
6
(iii)
Cost of living index (in rupees)
112 - 118
119 - 125
126 - 132
133 - 139
140 - 146
147 - 153
No. of weeks
10
6
9
8
10
6
(iv)
Cost of living index (in rupees)
112 - 118
119 - 125
126 - 132
133 - 139
140 - 146
147 - 153
No. of weeks
10
7
6
8
10
6
Question
20
20.
Heights of 229 plants (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
33
10
31
36
45
31
32
8
(ii)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
33
10
34
36
48
31
32
8
(iii)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
33
10
34
36
45
31
32
8
(iv)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
33
10
36
34
45
31
32
8
(v)
Height (in cm)
56 - 65
66 - 75
76 - 85
86 - 95
96 - 105
106 - 115
116 - 125
126 - 135
No. of plants
33
8
34
36
45
31
32
10
Question
21
21.
Find the median of the first 10 odd numbers.
(i)
12
(ii)
8
(iii)
9
(iv)
10
(v)
11
Question
22
22.
Rainfall of 196 days (in mm) are given below.
Identify the class interval table for the given histogram.
(i)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
No. of days
38
34
44
10
39
27
(ii)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
No. of days
38
27
44
14
39
34
(iii)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
No. of days
38
34
39
14
39
27
(iv)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
No. of days
38
34
44
14
39
27
(v)
Rainfall (in mm)
6 - 11
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
No. of days
38
44
34
14
39
27
Question
23
23.
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
7
.
53
71
45
64
42
63
65
44
40
54
78
60
45
67
71
63
65
(i)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
1
2
6
2
1
(ii)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
2
1
6
2
1
(iii)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
1
4
6
2
1
(iv)
Marks
40 - 47
47 - 54
54 - 61
61 - 68
68 - 75
75 - 82
No. of Students
5
1
2
9
2
1
Question
24
24.
Rainfall of 15 days are given below. Find the median.
Rainfall (in mm)
5
7
8
9
11
12
15
No. of days
3
3
1
1
2
2
3
(i)
7
mm
(ii)
9
mm
(iii)
8
mm
(iv)
11
mm
(v)
10
mm
Question
25
25.
Temperatures of 133 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
No. of days
25
26
5
32
32
13
(ii)
Temperature (in degree)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
No. of days
25
13
26
32
32
5
(iii)
Temperature (in degree)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
No. of days
25
5
26
32
32
13
(iv)
Temperature (in degree)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
No. of days
25
5
26
29
32
13
(v)
Temperature (in degree)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
No. of days
25
5
31
32
32
13
Assignment Key
1) (ii)
2) (ii)
3) (v)
4) (i)
5) (i)
6) (iv)
7) (i)
8) (v)
9) (iii)
10) (v)
11) (iv)
12) (iii)
13) (iii)
14) (i)
15) (v)
16) (ii)
17) (ii)
18) (ii)
19) (i)
20) (iii)
21) (iv)
22) (iv)
23) (i)
24) (ii)
25) (iii)
