EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Ages of 15 students are given below. Find the median.
Age (in years)
10
11
12
13
14
15
No. of students
3
3
2
2
2
3
(i)
12
years
(ii)
11
years
(iii)
13
years
(iv)
14
years
(v)
10
years
Question
2
2.
Heights of 107 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
10
13
12
14
12
17
13
20
(ii)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
10
13
14
8
12
17
13
20
(iii)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
10
13
8
14
12
17
13
20
(iv)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
10
13
8
14
10
17
13
20
(v)
Height (in cm)
127 - 134
135 - 142
143 - 150
151 - 158
159 - 166
167 - 174
175 - 182
183 - 190
No. of students
10
20
8
14
12
17
13
13
Question
3
3.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Frequency
7
19
17
9
10
(ii)
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Frequency
12
12
17
2
8
(iii)
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Frequency
10
8
10
10
7
(iv)
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Frequency
12
15
11
13
2
(v)
Class-Interval
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Frequency
19
20
11
8
15
Question
4
4.
Ages of 80 students (in years) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Age (in years)
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
19
5
22
9
12
17
(ii)
Age (in years)
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
19
17
18
9
12
5
(iii)
Age (in years)
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
19
18
5
9
12
17
(iv)
Age (in years)
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
19
5
18
9
12
17
(v)
Age (in years)
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
No. of students
19
5
18
14
12
17
Question
5
5.
Which of the following are continuous variables?
a)
Weights of persons in a group.
b)
Number of members in a family.
c)
Wages of workers in a factory.
d)
Heights of children in a class.
e)
Number of workers in a factory.
(i)
{b,e,d}
(ii)
{b,a}
(iii)
{e,c}
(iv)
{b,a,c}
(v)
{a,c,d}
Question
6
6.
The following frequency distribution table gives
the monthly consumption of electricity of
123
consumers in a locality.
Find the
mean units.
Monthly consumption (in units)
56 - 66
66 - 76
76 - 86
86 - 96
96 - 106
106 - 116
116 - 126
No. of consumers
12
5
24
14
19
24
25
(i)
4012
41
units
(ii)
3972
41
units
(iii)
3971
41
units
(iv)
3973
41
units
(v)
4053
41
units
Question
7
7.
The following table shows the weights of
101
persons in a group.
Find the
mode weight.
Weight (in kg)
10 - 16
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
46 - 52
52 - 58
No. of persons
18
6
11
18
15
5
9
19
(i)
1570
29
kg
(ii)
1569
29
kg
(iii)
1568
29
kg
(iv)
1626
29
kg
(v)
1597
29
kg
Question
8
8.
Heights of 80 plants (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
7
17
12
12
13
11
5
(ii)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
7
5
12
15
13
11
17
(iii)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
7
17
15
15
13
11
5
(iv)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
7
12
17
15
13
11
5
(v)
Height (in cm)
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
105 - 115
116 - 126
No. of plants
7
17
12
15
13
11
5
Question
9
9.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the median.
(i)
160.00 cm
(ii)
161.25 cm
(iii)
157.50 cm
(iv)
162.50 cm
(v)
158.75 cm
Question
10
10.
Which of the following class intervals are in exclusive form?
a)
21.5 - 27.5 , 27.5 - 33.5 , 33.5 - 39.5...
b)
37 - 42 , 42 - 47 , 47 - 52...
c)
22 - 27 , 27 - 32 , 32 - 37,...
d)
22 - 27 , 28 - 33 , 34 - 39,...
e)
40 - 45 , 46 - 51 , 52 - 57,...
(i)
{d,e,c}
(ii)
{d,a}
(iii)
{a,b,c}
(iv)
{d,a,b}
(v)
{e,b}
Question
11
11.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
50 - 55
30
56 - 61
7
62 - 67
1
68 - 73
29
74 - 79
x
(i)
73.5
-
79.5
(ii)
74
-
79
(iii)
73
-
80
(iv)
73
-
79.5
(v)
73.5
-
80
Question
12
12.
Rainfall of 30 days are given below. Find the median.
Rainfall (in mm)
5
6
7
9
10
11
12
13
14
15
No. of days
3
3
2
2
2
1
3
5
6
3
(i)
13
mm
(ii)
14
mm
(iii)
12
mm
(iv)
10
mm
(v)
11
mm
Question
13
13.
Heights of 58 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
No. of plants
12
5
11
7
11
12
(ii)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
No. of plants
12
11
12
7
11
5
(iii)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
No. of plants
12
12
11
7
11
5
(iv)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
No. of plants
12
12
16
7
11
5
(v)
Height (in cm)
70 - 79
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
No. of plants
12
12
11
10
11
5
Question
14
14.
The given ogive represents the heights of workers (in cm) in a factory.
Find the number of workers whose height is less than
199 cm
(i)
29
(ii)
37
(iii)
28
(iv)
33
(v)
38
Question
15
15.
If the mean of the following frequency distribution is
6
7
22
,
find the value of 'x'.
Value
Frequency
1
2
2
x
3
1
5
6
7
4
8
2
9
4
11
2
(i)
0
(ii)
2
(iii)
-1
(iv)
3
(v)
1
Question
16
16.
Rainfall of 104 days (in mm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Rainfall (in mm)
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of days
19
18
15
18
18
16
(ii)
Rainfall (in mm)
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of days
19
16
15
18
18
18
(iii)
Rainfall (in mm)
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of days
19
15
16
18
18
18
(iv)
Rainfall (in mm)
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of days
19
16
20
18
18
18
(v)
Rainfall (in mm)
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of days
19
16
15
14
18
18
Question
17
17.
If the sum of the following frequency distribution is
21
,
find the value of 'x'.
Value
Frequency
4
4
5
1
6
3
7
1
8
1
9
1
10
5
12
x
13
3
14
1
(i)
1
(ii)
4
(iii)
2
(iv)
0
(v)
-2
Question
18
18.
The following frequency distribution table gives
the monthly consumption of electricity of
126
consumers in a locality.
Find the
mode units.
Monthly consumption (in units)
78 - 88
88 - 98
98 - 108
108 - 118
118 - 128
128 - 138
138 - 148
No. of consumers
23
20
12
19
16
18
18
(i)
87
units
(ii)
1129
13
units
(iii)
1142
13
units
(iv)
1155
13
units
(v)
1130
13
units
Question
19
19.
Temperatures of 15 days are given below. Find the median.
Temperature (in degree C)
25
28
29
30
31
32
33
No. of days
1
1
3
1
2
4
3
(i)
31
°C
(ii)
29
°C
(iii)
32
°C
(iv)
33
°C
(v)
30
°C
Question
20
20.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
14 - 20
20 - 26
26 - 32
32 - 38
38 - 44
Frequency
44
42
9
30
43
(i)
61
2
(ii)
57
2
(iii)
59
2
(iv)
29
Question
21
21.
The daily wages of
80
workers in a factory are given below.
Find the
median wage.
Wage (in rupees)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
No. of workers
10
20
6
10
16
18
(i)
₹
57.20
(ii)
₹
57.60
(iii)
₹
57.40
(iv)
₹
58.20
(v)
₹
59.20
Question
22
22.
Temperatures of 63 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
13
9
7
11
20
(ii)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
13
20
7
11
12
(iii)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
13
7
12
11
20
(iv)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
13
12
7
11
20
(v)
Temperature (in degree)
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
13
12
10
11
20
Question
23
23.
The marks obtained by certain students in a mathematics examination are given below. Estimate the median.
(i)
24.20
(ii)
26.70
(iii)
22.95
(iv)
25.45
(v)
27.95
Question
24
24.
The following frequency distribution table gives
the monthly consumption of electricity of
76
consumers in a locality.
Find the
median units.
Monthly consumption (in units)
80 - 90
90 - 100
100 - 110
110 - 120
120 - 130
130 - 140
No. of consumers
5
25
6
11
14
15
(i)
1241
11
units
(ii)
112
units
(iii)
1252
11
units
(iv)
1230
11
units
(v)
1231
11
units
Question
25
25.
Ages of 76 students (in years) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
No. of students
20
18
5
20
16
(ii)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
No. of students
20
15
5
20
16
(iii)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
No. of students
20
15
10
20
16
(iv)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
No. of students
20
16
5
20
15
(v)
Age (in years)
17 - 25
26 - 34
35 - 43
44 - 52
53 - 61
No. of students
20
5
15
20
16
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (iv)
5) (v)
6) (iii)
7) (iii)
8) (v)
9) (i)
10) (iii)
11) (i)
12) (iii)
13) (iii)
14) (iv)
15) (v)
16) (ii)
17) (i)
18) (ii)
19) (i)
20) (ii)
21) (i)
22) (iv)
23) (iv)
24) (iv)
25) (ii)
