EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The class mark of the class with frequency x is
Class-Interval
Frequency
10 - 15
9
15 - 20
8
20 - 25
1
25 - 30
x
30 - 35
12
(i)
57
2
(ii)
53
2
(iii)
28
(iv)
109
4
(v)
55
2
Question
2
2.
The daily income of 52 workers of a factory is given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Daily income (in Rs)
200 - 220
220 - 240
240 - 260
260 - 280
280 - 300
300 - 320
320 - 340
No. of workers
6
6
10
6
9
8
7
(ii)
Daily income (in Rs)
200 - 220
220 - 240
240 - 260
260 - 280
280 - 300
300 - 320
320 - 340
No. of workers
6
7
6
6
9
8
10
(iii)
Daily income (in Rs)
200 - 220
220 - 240
240 - 260
260 - 280
280 - 300
300 - 320
320 - 340
No. of workers
6
10
6
2
9
8
7
(iv)
Daily income (in Rs)
200 - 220
220 - 240
240 - 260
260 - 280
280 - 300
300 - 320
320 - 340
No. of workers
6
10
6
6
9
8
7
(v)
Daily income (in Rs)
200 - 220
220 - 240
240 - 260
260 - 280
280 - 300
300 - 320
320 - 340
No. of workers
6
10
10
6
9
8
7
Question
3
3.
The class boundaries of 32 - 38 which is in inclusive form are
(i)
32
-
38
(ii)
31
-
38.5
(iii)
31.5
-
38.5
(iv)
31
-
39
(v)
31.5
-
39
Question
4
4.
The lower limit of the class with frequency x is
Class-Interval
Frequency
40 - 47
13
48 - 55
21
56 - 63
23
64 - 71
13
72 - 79
x
(i)
70
(ii)
73
(iii)
74
(iv)
71
(v)
72
Question
5
5.
Given class interval
10
-
14
in exclusive form, its
class mark is
(i)
11
(ii)
14
(iii)
12
(iv)
9
(v)
13
Question
6
6.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
(i)
₹132.08
(ii)
₹134.58
(iii)
₹127.08
(iv)
₹137.08
(v)
₹129.58
Question
7
7.
A frequency distribution table is given below.
Find the
median .
Class-Interval
12 - 22
23 - 33
34 - 44
45 - 55
56 - 66
67 - 77
Frequency
14
38
28
47
40
15
(i)
4519
94
(ii)
4425
94
(iii)
4427
94
(iv)
2213
47
(v)
4613
94
Question
8
8.
The Marks obtained by 67 students of a class in an examination is given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Marks
7 - 17
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of students
9
10
8
8
6
10
8
8
(ii)
Marks
7 - 17
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of students
9
8
8
8
6
10
8
10
(iii)
Marks
7 - 17
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of students
9
8
8
8
4
10
8
10
(iv)
Marks
7 - 17
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
67 - 77
77 - 87
No. of students
9
8
4
8
6
10
8
10
Question
9
9.
During the medical check-up of 57 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is less than 72 kg
Class-Interval
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
79 - 86
Frequency
5
9
11
7
6
9
10
(i)
39
(ii)
37
(iii)
41
(iv)
38
(v)
36
Question
10
10.
The following frequency distribution table gives
the monthly consumption of electricity of
120
consumers in a locality.
Find the
mode units.
Monthly consumption (in units)
80 - 100
100 - 120
120 - 140
140 - 160
160 - 180
180 - 200
200 - 220
No. of consumers
14
23
20
18
22
17
6
(i)
116
units
(ii)
117
units
(iii)
115
units
(iv)
114
units
(v)
113
units
Question
11
11.
The daily wages of
119
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of workers
12
20
20
26
16
25
(i)
₹
56.23
(ii)
₹
55.23
(iii)
₹
57.23
(iv)
₹
55.24
Question
12
12.
The heights of 33 pupils in a school are given below. Calculate the mean height correct to 2 decimal places.
Height (in cm)
less than 138
less than 146
less than 154
less than 162
less than 170
No. of pupils
5
13
16
24
33
(i)
146.94 cm
(ii)
125.94 cm
(iii)
151.94 cm
(iv)
179.94 cm
(v)
157.94 cm
Question
13
13.
Find the Mode when Median is 82.5 and Mean is 73.6.
(i)
98.3
(ii)
100.3
(iii)
99.3
(iv)
102.3
(v)
101.3
Question
14
14.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
Frequency
19
31
6
19
27
50
(i)
2779
76
(ii)
2855
76
(iii)
2703
76
(iv)
676
19
(v)
2705
76
Question
15
15.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
Frequency
3
8
10
9
7
(ii)
Class-Interval
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
Frequency
1
12
13
18
9
(iii)
Class-Interval
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
Frequency
4
13
6
8
17
(iv)
Class-Interval
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
Frequency
19
10
3
8
4
(v)
Class-Interval
12 - 18
19 - 25
26 - 32
33 - 39
40 - 46
Frequency
15
5
7
6
2
Question
16
16.
Temperatures of 10 days are given below. Find the mean.
Temperature (in degree C)
25
27
28
29
30
31
32
34
No. of days
2
1
1
1
2
1
1
1
(i)
291
10
°C
(ii)
293
10
°C
(iii)
311
10
°C
(iv)
146
5
°C
(v)
301
10
°C
Question
17
17.
Rainfall of 100 days (in mm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Rainfall (in mm)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
19
12
7
19
18
15
10
(ii)
Rainfall (in mm)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
19
7
12
19
18
15
10
(iii)
Rainfall (in mm)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
19
12
10
19
18
15
10
(iv)
Rainfall (in mm)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
19
10
7
19
18
15
12
(v)
Rainfall (in mm)
11 - 21
22 - 32
33 - 43
44 - 54
55 - 65
66 - 76
77 - 87
No. of days
19
12
7
24
18
15
10
Question
18
18.
Which of the following are continuous variables?
a)
Wages of workers in a factory.
b)
Number of members in a family.
c)
Number of workers in a factory.
d)
Heights of children in a class.
e)
Weights of persons in a group.
(i)
{a,d,e}
(ii)
{b,a}
(iii)
{b,c,e}
(iv)
{b,a,d}
(v)
{c,d}
Question
19
19.
Ages of 113 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of students
11
17
13
7
18
20
15
12
(ii)
Age (in years)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of students
11
12
15
7
18
20
15
17
(iii)
Age (in years)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of students
11
12
7
13
18
20
15
17
(iv)
Age (in years)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of students
11
12
13
7
16
20
15
17
(v)
Age (in years)
12 - 19
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
No. of students
11
12
13
7
18
20
15
17
Question
20
20.
The daily wages of
102
workers in a factory are given below.
Find the
mode wage.
Wage (in rupees)
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
No. of workers
10
24
17
15
8
28
(i)
₹
57.58
(ii)
₹
57.42
(iii)
₹
59.42
(iv)
₹
58.42
(v)
₹
57.50
Question
21
21.
The production yield in kg per hectare of wheat of 41 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
Number of farms
10
18
26
33
41
(i)
68.40
(ii)
76.40
(iii)
71.40
(iv)
66.40
(v)
74.40
Question
22
22.
Weights of 30 students are given below. Find the median.
Weight (in kg)
41
46
47
49
50
54
58
No. of students
5
5
5
6
1
3
5
(i)
47
kg
(ii)
46
kg
(iii)
48
kg
(iv)
49
kg
(v)
50
kg
Question
23
23.
Identify the cumulative frequency of the given grouped data.
class interval
49 - 59
60 - 70
71 - 81
82 - 92
93 - 103
104 - 114
115 - 125
126 - 136
frequency
18
11
13
10
19
17
24
19
(i)
class interval
Cumulative Frequency
49 - 59
18
60 - 70
29
71 - 81
42
82 - 92
52
93 - 103
74
104 - 114
91
115 - 125
115
126 - 136
134
(ii)
class interval
Cumulative Frequency
49 - 59
18
60 - 70
29
71 - 81
42
82 - 92
52
93 - 103
71
104 - 114
88
115 - 125
112
126 - 136
131
(iii)
class interval
Cumulative Frequency
49 - 59
18
60 - 70
29
71 - 81
39
82 - 92
49
93 - 103
68
104 - 114
85
115 - 125
109
126 - 136
128
(iv)
class interval
Cumulative Frequency
49 - 59
18
60 - 70
29
71 - 81
39
82 - 92
52
93 - 103
71
104 - 114
88
115 - 125
112
126 - 136
131
(v)
class interval
Cumulative Frequency
49 - 59
18
60 - 70
37
71 - 81
50
82 - 92
60
93 - 103
79
104 - 114
96
115 - 125
120
126 - 136
131
Question
24
24.
Greater than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
mid values of classes and greater than cumulative frequencies
(iii)
lower boundaries of classes and greater than cumulative frequencies
(iv)
upper boundaries of classes and greater than cumulative frequencies
Question
25
25.
Temperatures of 93 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
No. of days
18
20
4
7
19
5
15
(ii)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
No. of days
18
20
9
12
19
5
15
(iii)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
No. of days
18
20
9
7
19
5
15
(iv)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
No. of days
18
15
9
7
19
5
20
(v)
Temperature (in degree)
35 - 41
41 - 47
47 - 53
53 - 59
59 - 65
65 - 71
71 - 77
No. of days
18
9
20
7
19
5
15
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (v)
5) (iii)
6) (i)
7) (ii)
8) (ii)
9) (iv)
10) (iii)
11) (ii)
12) (iii)
13) (ii)
14) (iii)
15) (i)
16) (i)
17) (i)
18) (i)
19) (v)
20) (ii)
21) (iii)
22) (iii)
23) (ii)
24) (iii)
25) (iii)
