EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The following table shows the weights of
54
persons in a group.
Find the
mean weight.
Weight (in kg)
30 - 36
36 - 42
42 - 48
48 - 54
54 - 60
No. of persons
10
5
8
14
17
(i)
446
9
kg
(ii)
430
9
kg
(iii)
143
3
kg
(iv)
437
9
kg
(v)
428
9
kg
Question
2
2.
The following frequency distribution table gives
the monthly consumption of electricity of
93
consumers in a locality.
Find the
mode units.
Monthly consumption (in units)
65 - 75
75 - 85
85 - 95
95 - 105
105 - 115
115 - 125
No. of consumers
15
21
10
10
14
23
(i)
1917
16
units
(ii)
1887
16
units
(iii)
943
8
units
(iv)
1901
16
units
(v)
1885
16
units
Question
3
3.
Scores of 79 students are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
No. of students
6
12
17
9
19
14
(ii)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
No. of students
6
19
12
9
19
14
(iii)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
No. of students
6
14
19
9
19
12
(iv)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
No. of students
6
12
19
9
19
14
(v)
Score
73 - 78
78 - 83
83 - 88
88 - 93
93 - 98
98 - 103
No. of students
6
12
19
14
19
14
Question
4
4.
Find the cumulative frequency of class
53
-
59
.
Class-Interval
18 - 24
25 - 31
32 - 38
39 - 45
46 - 52
53 - 59
Frequency
5
19
16
7
18
6
(i)
68
(ii)
71
(iii)
74
(iv)
70
(v)
72
Question
5
5.
The marks obtained by certain students in a mathematics examination are given below. Estimate the median.
(i)
54.23
(ii)
49.23
(iii)
44.23
(iv)
46.73
(v)
51.73
Question
6
6.
Heights of 30 students are given below. Find the mean.
Height (in cm)
129
134
136
140
144
149
154
155
156
163
No. of students
1
6
5
2
4
2
1
2
1
6
(i)
146
cm
(ii)
295
2
cm
(iii)
293
2
cm
(iv)
291
2
cm
Question
7
7.
Temperatures of 73 days (in °C) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Temperature (in degree)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of days
10
15
17
6
8
8
14
(ii)
Temperature (in degree)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of days
10
15
12
10
8
8
14
(iii)
Temperature (in degree)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of days
10
14
12
6
8
8
15
(iv)
Temperature (in degree)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of days
10
12
15
6
8
8
14
(v)
Temperature (in degree)
25 - 32
33 - 40
41 - 48
49 - 56
57 - 64
65 - 72
73 - 80
No. of days
10
15
12
6
8
8
14
Question
8
8.
Rainfall of 50 days (in mm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
No. of days
9
10
17
5
9
(ii)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
No. of days
9
14
10
5
9
(iii)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
No. of days
9
17
10
5
9
(iv)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
No. of days
9
9
10
5
17
(v)
Rainfall (in mm)
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44
No. of days
9
17
14
5
9
Question
9
9.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
30 - 39
7
39 - 48
21
48 - 57
27
57 - 66
32
66 - 75
46
75 - 84
56
84 - 93
64
(i)
Class-Interval
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
Frequency
7
14
10
5
14
10
8
(ii)
Class-Interval
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
Frequency
7
14
6
5
14
10
8
(iii)
Class-Interval
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
Frequency
7
6
14
5
14
10
8
(iv)
Class-Interval
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
Frequency
7
8
6
5
14
10
14
(v)
Class-Interval
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
84 - 93
Frequency
7
14
6
7
14
10
8
Question
10
10.
The marks obtained by 48 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
Marks
less than 25
less than 30
less than 35
less than 40
less than 45
less than 50
No. of students
8
15
24
33
40
48
(i)
32.00
(ii)
30.00
(iii)
38.00
(iv)
35.00
(v)
40.00
Question
11
11.
Given class interval table, find the sum of frequencies.
Class-Interval
42 - 51
52 - 61
62 - 71
72 - 81
Frequency
23
29
12
21
(i)
85
(ii)
83
(iii)
86
(iv)
87
(v)
84
Question
12
12.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the median.
(i)
167.05 cm
(ii)
163.30 cm
(iii)
164.55 cm
(iv)
165.80 cm
(v)
162.05 cm
Question
13
13.
The lower limit of the class with frequency x is
Class-Interval
Frequency
47 - 55
x
56 - 64
22
65 - 73
27
74 - 82
4
83 - 91
29
(i)
46
(ii)
50
(iii)
47
(iv)
48
(v)
45
Question
14
14.
During the medical check-up of 32 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
32 - 41
41 - 50
50 - 59
59 - 68
Frequency
9
6
12
5
(i)
14
(ii)
20
(iii)
18
(iv)
16
(v)
17
Question
15
15.
Heights of 79 plants (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
No. of plants
15
10
11
9
9
12
13
(ii)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
No. of plants
15
11
10
6
9
12
13
(iii)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
No. of plants
15
11
15
9
9
12
13
(iv)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
No. of plants
15
11
10
9
9
12
13
(v)
Height (in cm)
67 - 75
75 - 83
83 - 91
91 - 99
99 - 107
107 - 115
115 - 123
No. of plants
15
13
10
9
9
12
11
Question
16
16.
Heights of 107 students (in cm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
12
19
24
12
11
20
14
(ii)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
12
19
19
9
11
20
14
(iii)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
12
14
19
12
11
20
19
(iv)
Height (in cm)
124 - 129
130 - 135
136 - 141
142 - 147
148 - 153
154 - 159
160 - 165
No. of students
12
19
19
12
11
20
14
Question
17
17.
Given class interval
39
-
43
in exclusive form, its
mid value is
(i)
40
(ii)
41
(iii)
42
(iv)
38
(v)
43
Question
18
18.
Weights of 93 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
17
11
14
15
9
9
6
8
(ii)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
17
11
15
18
9
9
6
8
(iii)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
17
8
18
15
9
9
6
11
(iv)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
17
11
18
15
7
9
6
8
(v)
Weight (in kg)
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
93 - 100
101 - 108
109 - 116
No. of students
17
11
18
15
9
9
6
8
Question
19
19.
Which of the following are true?
a)
The number of times a particular observation occurs is called its frequency.
b)
The difference between the true upper limit and true lower limit is called the class mark.
c)
Each numerical figure in a data set is called an observation.
d)
The true lower limit of the exclusive form class interval 40 - 50 is 40.
e)
The true lower limit of the inclusive form class interval 40 - 50 is 40.
(i)
{e,c}
(ii)
{a,c,d}
(iii)
{b,e,d}
(iv)
{b,a}
(v)
{b,a,c}
Question
20
20.
Convert the discontinuous form of the class interval 22 - 32 to continuous form
(i)
21
-
33
(ii)
21
-
32.5
(iii)
21.5
-
33
(iv)
21.5
-
32.5
(v)
22
-
32
Question
21
21.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
6
7
6
5
9
(ii)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
18
8
8
20
10
(iii)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
16
18
20
3
3
(iv)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
5
11
16
17
1
(v)
Class-Interval
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
Frequency
4
4
2
6
6
Question
22
22.
Scores of 101 students are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Score
77 - 84
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
No. of students
20
19
14
14
12
12
10
(ii)
Score
77 - 84
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
No. of students
20
10
19
14
12
12
14
(iii)
Score
77 - 84
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
No. of students
20
14
19
14
12
12
10
(iv)
Score
77 - 84
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
No. of students
20
14
16
14
12
12
10
(v)
Score
77 - 84
84 - 91
91 - 98
98 - 105
105 - 112
112 - 119
119 - 126
No. of students
20
14
19
19
12
12
10
Question
23
23.
Scores of 96 students are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Score
90 - 95
95 - 100
100 - 105
105 - 110
110 - 115
115 - 120
120 - 125
125 - 130
No. of students
20
13
8
11
7
14
15
8
(ii)
Score
90 - 95
95 - 100
100 - 105
105 - 110
110 - 115
115 - 120
120 - 125
125 - 130
No. of students
20
8
8
11
4
14
15
13
(iii)
Score
90 - 95
95 - 100
100 - 105
105 - 110
110 - 115
115 - 120
120 - 125
125 - 130
No. of students
20
8
8
11
7
14
15
13
(iv)
Score
90 - 95
95 - 100
100 - 105
105 - 110
110 - 115
115 - 120
120 - 125
125 - 130
No. of students
20
8
10
11
7
14
15
13
(v)
Score
90 - 95
95 - 100
100 - 105
105 - 110
110 - 115
115 - 120
120 - 125
125 - 130
No. of students
20
8
11
8
7
14
15
13
Question
24
24.
Ages of 101 students (in years) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Age (in years)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
No. of students
20
14
13
14
12
15
13
(ii)
Age (in years)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
No. of students
20
13
13
10
12
15
14
(iii)
Age (in years)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
No. of students
20
13
8
14
12
15
14
(iv)
Age (in years)
10 - 20
21 - 31
32 - 42
43 - 53
54 - 64
65 - 75
76 - 86
No. of students
20
13
13
14
12
15
14
Question
25
25.
The Marks obtained by 36 students of a class in an examination is given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Marks
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
10
6
5
6
7
(ii)
Marks
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
10
10
7
6
7
(iii)
Marks
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
10
7
6
6
7
(iv)
Marks
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
10
7
7
6
6
(v)
Marks
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
No. of students
10
6
7
6
7
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (ii)
5) (ii)
6) (iv)
7) (v)
8) (iii)
9) (ii)
10) (iv)
11) (i)
12) (iii)
13) (iii)
14) (v)
15) (iv)
16) (iv)
17) (ii)
18) (v)
19) (ii)
20) (iv)
21) (i)
22) (iii)
23) (iii)
24) (iv)
25) (v)
