EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Temperatures of 106 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
5
6
15
12
17
20
19
14
(ii)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
5
6
15
12
15
20
19
14
(iii)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
5
14
15
12
15
20
19
6
(iv)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
5
6
10
12
15
20
19
14
(v)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
5
6
12
15
15
20
19
14
Question
2
2.
Which of the following are discrete variables?
a)
Number of members in a family
b)
Rainfall at a place over a month
c)
Temperature at a place over a month
d)
Weights of persons in a group
e)
Number of workers in a factory
(i)
{c,e,a}
(ii)
{a,e}
(iii)
{b,a}
(iv)
{c,e}
(v)
{d,b,a}
Question
3
3.
The following frequency distribution table gives
the monthly consumption of electricity of
111
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
58 - 78
78 - 98
98 - 118
118 - 138
138 - 158
158 - 178
178 - 198
No. of consumers
24
18
17
18
9
7
18
(i)
1970
17
units
(ii)
1953
17
units
(iii)
1936
17
units
(iv)
114
units
(v)
1937
17
units
Question
4
4.
Heights of 87 plants (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
133 - 142
No. of plants
13
8
12
7
2
10
17
13
(ii)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
133 - 142
No. of plants
13
8
12
7
7
10
17
13
(iii)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
133 - 142
No. of plants
13
8
9
7
7
10
17
13
(iv)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
133 - 142
No. of plants
13
8
7
12
7
10
17
13
(v)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
133 - 142
No. of plants
13
13
12
7
7
10
17
8
Question
5
5.
Heights of 30 students are given below. Find the mean.
Height (in cm)
129
139
141
142
154
155
156
157
166
171
174
No. of students
1
3
3
5
4
2
4
3
1
3
1
(i)
4583
30
cm
(ii)
911
6
cm
(iii)
4613
30
cm
(iv)
759
5
cm
(v)
4553
30
cm
Question
6
6.
The following table shows the weights of
81
persons in a group.
Find the
median weight.
Weight (in kg)
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of persons
8
7
18
18
13
17
(i)
517
6
kg
(ii)
511
6
kg
(iii)
169
2
kg
(iv)
253
3
kg
(v)
505
6
kg
Question
7
7.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
16 - 21
30
21 - 26
21
26 - 31
26
31 - 36
x
36 - 41
10
(i)
31.5
-
35.5
(ii)
30.5
-
36
(iii)
30.5
-
36.5
(iv)
31
-
36
(v)
31
-
36.5
Question
8
8.
The following table shows the weights of
78
persons in a group.
Find the
mean weight.
Weight (in kg)
10 - 19
19 - 28
28 - 37
37 - 46
46 - 55
55 - 64
No. of persons
20
17
5
5
13
18
(i)
465
13
kg
(ii)
955
26
kg
(iii)
931
26
kg
(iv)
929
26
kg
(v)
981
26
kg
Question
9
9.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.
(i)
59.50 years
(ii)
52.00 years
(iii)
54.50 years
(iv)
57.00 years
(v)
62.00 years
Question
10
10.
Wages of 25 labourers are given below. Find the mean.
Wage (in rupees)
320
325
360
363
375
384
398
399
443
457
471
No. of labourers
1
4
3
1
1
2
1
5
4
2
1
(i)
₹
390.28
(ii)
₹
390.24
(iii)
₹
390.32
(iv)
₹
391.24
(v)
₹
392.24
Question
11
11.
Convert the inclusive form of the class interval 40 - 50 to exclusive form
(i)
40
-
50
(ii)
39.5
-
50.5
(iii)
39.5
-
51
(iv)
39
-
51
(v)
39
-
50.5
Question
12
12.
Temperatures of 10 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
29
30
31
34
35
No. of days
1
1
1
3
1
1
1
1
(i)
59
2
°C
(ii)
30
°C
(iii)
63
2
°C
(iv)
61
2
°C
Question
13
13.
Which of the following class intervals are in exclusive form?
a)
12.5 - 23.5 , 23.5 - 34.5 , 34.5 - 45.5...
b)
46 - 56 , 57 - 67 , 68 - 78,...
c)
13 - 23 , 24 - 34 , 35 - 45,...
d)
43 - 53 , 53 - 63 , 63 - 73...
e)
13 - 23 , 23 - 33 , 33 - 43,...
(i)
{b,c,e}
(ii)
{b,a,d}
(iii)
{b,a}
(iv)
{c,d}
(v)
{a,d,e}
Question
14
14.
The daily wages of
128
workers in a factory are given below.
Find the
mode wage.
Wage (in rupees)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
62 - 67
No. of workers
7
9
18
6
21
24
23
20
(i)
₹
52.00
(ii)
₹
53.00
(iii)
₹
56.00
(iv)
₹
55.00
(v)
₹
54.00
Question
15
15.
The daily income of 37 workers of a factory is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
5
15
29
34
41
(ii)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
5
19
29
34
41
(iii)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
5
15
25
30
37
(iv)
Daily income (in Rs)
less than 110
less than 120
less than 130
less than 140
less than 150
No. of workers
5
12
22
27
37
Question
16
16.
During the medical check-up of 44 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 50 kg
Class-Interval
38 - 44
44 - 50
50 - 56
56 - 62
62 - 68
68 - 74
Frequency
5
10
5
9
9
6
(i)
26
(ii)
30
(iii)
28
(iv)
29
(v)
32
Question
17
17.
Scores of 31 students are given below. Find the mode.
Score
70
71
74
75
77
78
81
85
86
88
No. of students
6
2
2
3
4
5
2
2
1
4
(i)
68
(ii)
71
(iii)
70
(iv)
72
(v)
69
Question
18
18.
Given class interval table, find the sum of frequencies.
Class-Interval
26 - 36
37 - 47
48 - 58
59 - 69
70 - 80
81 - 91
92 - 102
Frequency
13
17
5
27
29
13
5
(i)
110
(ii)
108
(iii)
109
(iv)
107
(v)
112
Question
19
19.
Ages of 71 students (in years) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Age (in years)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
No. of students
15
13
16
17
10
(ii)
Age (in years)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
No. of students
15
16
13
17
10
(iii)
Age (in years)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
No. of students
15
10
13
17
16
(iv)
Age (in years)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
No. of students
15
19
13
17
10
(v)
Age (in years)
14 - 22
22 - 30
30 - 38
38 - 46
46 - 54
No. of students
15
16
10
17
10
Question
20
20.
The production yield in kg per hectare of wheat of 43 farms of a village is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
less than 104
Number of farms
6
14
28
35
40
47
(ii)
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
less than 104
Number of farms
6
13
23
30
35
43
(iii)
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
less than 104
Number of farms
6
14
24
31
36
43
(iv)
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
less than 104
Number of farms
6
16
24
31
36
43
(v)
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
less than 104
Number of farms
6
14
24
33
38
45
Question
21
21.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
20
19
20
13
8
2
15
11
(ii)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
9
17
5
16
7
10
10
15
(iii)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
9
5
11
1
10
20
3
19
(iv)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
8
3
8
9
7
10
6
5
(v)
Class-Interval
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
Frequency
16
19
10
17
20
9
20
7
Question
22
22.
Identify the cumulative frequency of the given grouped data.
class interval
46 - 51
51 - 56
56 - 61
61 - 66
66 - 71
71 - 76
76 - 81
frequency
5
21
20
23
17
21
18
(i)
class interval
Cumulative Frequency
46 - 51
5
51 - 56
25
56 - 61
46
61 - 66
69
66 - 71
86
71 - 76
107
76 - 81
125
(ii)
class interval
Cumulative Frequency
46 - 51
5
51 - 56
26
56 - 61
46
61 - 66
72
66 - 71
89
71 - 76
110
76 - 81
128
(iii)
class interval
Cumulative Frequency
46 - 51
5
51 - 56
26
56 - 61
46
61 - 66
69
66 - 71
86
71 - 76
107
76 - 81
125
(iv)
class interval
Cumulative Frequency
46 - 51
5
51 - 56
23
56 - 61
43
61 - 66
66
66 - 71
83
71 - 76
104
76 - 81
125
(v)
class interval
Cumulative Frequency
46 - 51
5
51 - 56
26
56 - 61
42
61 - 66
65
66 - 71
82
71 - 76
103
76 - 81
121
Question
23
23.
Weights of 20 students are given below. Find the mean.
Weight (in kg)
41
42
43
46
47
52
55
58
No. of students
3
4
1
2
2
5
2
1
(i)
247
5
kg
(ii)
242
5
kg
(iii)
237
5
kg
(iv)
239
5
kg
(v)
238
5
kg
Question
24
24.
The Marks obtained by 41 students of a class in an examination is given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
No. of students
10
6
7
8
10
(ii)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
No. of students
10
10
7
8
10
(iii)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
No. of students
10
7
6
8
10
(iv)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
No. of students
10
10
7
8
6
(v)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
No. of students
10
6
3
8
10
Question
25
25.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
Frequency
12
10
13
20
18
2
17
6
(ii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
Frequency
20
15
7
11
5
3
4
3
(iii)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
Frequency
7
2
3
19
10
15
2
3
(iv)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
Frequency
1
11
13
4
13
16
19
8
(v)
Class-Interval
15 - 24
24 - 33
33 - 42
42 - 51
51 - 60
60 - 69
69 - 78
78 - 87
Frequency
7
7
7
10
12
11
6
6
Assignment Key
1) (ii)
2) (ii)
3) (iii)
4) (ii)
5) (v)
6) (v)
7) (iv)
8) (iv)
9) (iv)
10) (ii)
11) (ii)
12) (i)
13) (v)
14) (v)
15) (iii)
16) (iv)
17) (iii)
18) (iii)
19) (ii)
20) (iii)
21) (iv)
22) (iii)
23) (iii)
24) (i)
25) (v)
