EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Identify the cumulative frequency of the given grouped data.
class interval
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
frequency
10
10
12
7
21
(i)
class interval
Cumulative Frequency
40 - 45
10
45 - 50
22
50 - 55
32
55 - 60
39
60 - 65
60
(ii)
class interval
Cumulative Frequency
40 - 45
10
45 - 50
25
50 - 55
37
55 - 60
44
60 - 65
65
(iii)
class interval
Cumulative Frequency
40 - 45
10
45 - 50
20
50 - 55
32
55 - 60
39
60 - 65
60
(iv)
class interval
Cumulative Frequency
40 - 45
10
45 - 50
31
50 - 55
43
55 - 60
50
60 - 65
60
(v)
class interval
Cumulative Frequency
40 - 45
10
45 - 50
20
50 - 55
36
55 - 60
43
60 - 65
64
Question
2
2.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
Frequency
14
8
16
15
4
5
(ii)
Class-Interval
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
Frequency
18
17
14
18
4
8
(iii)
Class-Interval
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
Frequency
18
15
13
3
15
11
(iv)
Class-Interval
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
Frequency
2
15
8
11
9
18
(v)
Class-Interval
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
Frequency
7
6
11
8
4
11
Question
3
3.
The mean and median of a uni-modal grouped data are 47 and 34 respectively. Find the mode of the data.
(i)
71
(ii)
74
(iii)
75
(iv)
72
(v)
73
Question
4
4.
Temperatures of 21 days are given below. Find the mode.
Temperature (in degree C)
25
26
27
28
29
30
31
32
33
34
No. of days
1
1
2
1
5
2
2
4
1
2
(i)
31
°C
(ii)
29
°C
(iii)
27
°C
(iv)
28
°C
(v)
30
°C
Question
5
5.
Scores of 20 students are given below. Find the mean.
Score
70
71
77
78
79
88
89
90
No. of students
5
5
1
2
4
1
1
1
(i)
1523
20
(ii)
1541
20
(iii)
1561
20
(iv)
1521
20
(v)
761
10
Question
6
6.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
Frequency
16
8
11
11
7
(ii)
Class-Interval
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
Frequency
7
7
13
5
7
(iii)
Class-Interval
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
Frequency
11
3
1
6
5
(iv)
Class-Interval
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
Frequency
10
6
9
1
13
(v)
Class-Interval
16 - 22
22 - 28
28 - 34
34 - 40
40 - 46
Frequency
15
10
1
3
12
Question
7
7.
The following table shows the weights of
96
persons in a group.
Find the
mean weight.
Weight (in kg)
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
No. of persons
12
17
7
18
7
16
8
11
(i)
81
2
kg
(ii)
85
2
kg
(iii)
83
2
kg
(iv)
41
kg
Question
8
8.
Temperatures of 76 days (in °C) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of days
13
9
9
19
5
8
11
(ii)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of days
13
9
11
19
5
8
11
(iii)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of days
13
11
9
19
5
8
11
(iv)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of days
13
11
11
19
5
8
9
(v)
Temperature (in degree)
35 - 45
46 - 56
57 - 67
68 - 78
79 - 89
90 - 100
101 - 111
No. of days
13
9
11
17
5
8
11
Question
9
9.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
Frequency
4
19
6
14
4
2
6
15
(ii)
Class-Interval
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
Frequency
12
2
14
8
20
20
16
5
(iii)
Class-Interval
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
Frequency
20
17
8
18
11
19
1
2
(iv)
Class-Interval
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
Frequency
6
5
4
12
3
7
9
3
(v)
Class-Interval
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
83 - 93
94 - 104
Frequency
5
11
15
2
7
17
16
3
Question
10
10.
The following table shows the weights of
54
persons in a group.
Find the
median weight.
Weight (in kg)
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
No. of persons
5
7
8
18
16
(i)
424
9
kg
(ii)
425
9
kg
(iii)
142
3
kg
(iv)
442
9
kg
(v)
433
9
kg
Question
11
11.
Heights of 68 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
8
12
21
11
16
5
(ii)
Height (in cm)
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
8
12
16
11
16
5
(iii)
Height (in cm)
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
8
5
16
11
16
12
(iv)
Height (in cm)
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
8
16
12
11
16
5
(v)
Height (in cm)
52 - 61
62 - 71
72 - 81
82 - 91
92 - 101
102 - 111
No. of plants
8
12
16
7
16
5
Question
12
12.
If the mean of the following frequency distribution is
36
33
82
,
find the value of 'x'.
Class-Interval
Frequency
20 - 25
5
26 - 31
10
32 - 37
7
38 - 43
x
44 - 49
4
50 - 55
5
(i)
8
(ii)
12
(iii)
11
(iv)
9
(v)
10
Question
13
13.
Daily wages of 75 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Daily wage (in Rs)
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
302 - 309
310 - 317
No. of labourers
10
12
8
10
12
6
17
(ii)
Daily wage (in Rs)
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
302 - 309
310 - 317
No. of labourers
10
17
12
10
12
6
8
(iii)
Daily wage (in Rs)
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
302 - 309
310 - 317
No. of labourers
10
8
12
15
12
6
17
(iv)
Daily wage (in Rs)
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
302 - 309
310 - 317
No. of labourers
10
8
15
10
12
6
17
(v)
Daily wage (in Rs)
262 - 269
270 - 277
278 - 285
286 - 293
294 - 301
302 - 309
310 - 317
No. of labourers
10
8
12
10
12
6
17
Question
14
14.
The following table shows the weights of
107
persons in a group.
Find the
mode weight.
Weight (in kg)
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
98 - 106
106 - 114
No. of persons
10
19
14
10
12
14
11
17
(i)
449
7
kg
(ii)
456
7
kg
(iii)
443
7
kg
(iv)
442
7
kg
(v)
444
7
kg
Question
15
15.
The class size used in the below table is
Class-Interval
49 - 57
58 - 66
67 - 75
76 - 84
85 - 93
94 - 102
Frequency
20
24
12
9
16
5
(i)
9
(ii)
12
(iii)
8
(iv)
10
(v)
6
Question
16
16.
Which of the following are discrete variables?
a)
Weights of persons in a group
b)
Number of workers in a factory
c)
Marks obtained by student in a particular subject
d)
Temperature at a place over a month
e)
Heights of children in a class
(i)
{d,c}
(ii)
{d,c,b}
(iii)
{e,a,b}
(iv)
{b,c}
(v)
{a,b}
Question
17
17.
Temperatures of 106 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
No. of days
17
9
13
11
18
14
19
9
(ii)
Temperature (in degree)
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
No. of days
17
9
11
9
18
14
19
9
(iii)
Temperature (in degree)
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
No. of days
17
9
9
11
18
14
19
9
(iv)
Temperature (in degree)
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
55 - 60
61 - 66
67 - 72
No. of days
17
9
9
11
23
14
19
9
Question
18
18.
Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
Age (in years)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of Patients
39
60
35
22
27
29
61
(i)
Age (in years)
Cumulative Frequency
20 - 25
39
25 - 30
99
30 - 35
134
35 - 40
156
40 - 45
183
45 - 50
212
50 - 55
273
(ii)
Age (in years)
Cumulative Frequency
20 - 25
39
25 - 30
99
30 - 35
134
35 - 40
153
40 - 45
180
45 - 50
209
50 - 55
270
(iii)
Age (in years)
Cumulative Frequency
20 - 25
39
25 - 30
100
30 - 35
135
35 - 40
157
40 - 45
184
45 - 50
213
50 - 55
273
(iv)
Age (in years)
Cumulative Frequency
20 - 25
39
25 - 30
99
30 - 35
131
35 - 40
153
40 - 45
180
45 - 50
209
50 - 55
270
(v)
Age (in years)
Cumulative Frequency
20 - 25
39
25 - 30
74
30 - 35
134
35 - 40
156
40 - 45
183
45 - 50
212
50 - 55
273
Question
19
19.
If the sum of the following frequency distribution is
22
,
find the value of 'x'.
Value
Frequency
3
3
4
x
5
1
6
1
7
4
8
1
9
1
10
2
11
4
12
3
(i)
2
(ii)
-1
(iii)
1
(iv)
4
(v)
3
Question
20
20.
Convert the continuous form of the class interval 34.5 - 39.5 to discontinuous form
(i)
35
-
39
(ii)
35
-
39.5
(iii)
34.5
-
39.5
(iv)
35.5
-
38.5
(v)
34.5
-
39
Question
21
21.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
44 - 50
11
50 - 56
2
56 - 62
22
62 - 68
23
68 - 74
x
(i)
67.5
-
74.5
(ii)
68
-
74
(iii)
67.5
-
74
(iv)
68.5
-
73.5
(v)
68
-
74.5
Question
22
22.
Ages of 56 students (in years) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of students
18
9
6
13
6
(ii)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of students
18
13
2
13
6
(iii)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of students
18
13
6
13
6
(iv)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of students
18
6
6
13
13
(v)
Age (in years)
11 - 20
20 - 29
29 - 38
38 - 47
47 - 56
No. of students
18
6
13
13
6
Question
23
23.
Ages of 74 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
6
7
19
12
11
19
(ii)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
6
19
19
10
11
7
(iii)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
6
19
21
12
11
7
(iv)
Age (in years)
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
No. of students
6
19
19
12
11
7
Question
24
24.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
300 - 320
321 - 341
342 - 362
363 - 383
384 - 404
405 - 425
Labourers
10
13
1
6
9
13
(i)
Wages (in rupees)
Cumulative Frequency
300 - 320
10
321 - 341
23
342 - 362
27
363 - 383
33
384 - 404
42
405 - 425
55
(ii)
Wages (in rupees)
Cumulative Frequency
300 - 320
10
321 - 341
23
342 - 362
24
363 - 383
26
384 - 404
35
405 - 425
48
(iii)
Wages (in rupees)
Cumulative Frequency
300 - 320
10
321 - 341
23
342 - 362
24
363 - 383
30
384 - 404
39
405 - 425
52
(iv)
Wages (in rupees)
Cumulative Frequency
300 - 320
10
321 - 341
11
342 - 362
24
363 - 383
30
384 - 404
39
405 - 425
52
Question
25
25.
Greater than cumulative curves are drawn using
(i)
upper boundaries of classes and less than cumulative frequencies
(ii)
upper boundaries of classes and greater than cumulative frequencies
(iii)
mid values of classes and greater than cumulative frequencies
(iv)
lower boundaries of classes and greater than cumulative frequencies
Assignment Key
1) (iii)
2) (v)
3) (v)
4) (ii)
5) (iv)
6) (iii)
7) (i)
8) (ii)
9) (iv)
10) (i)
11) (ii)
12) (v)
13) (v)
14) (iv)
15) (i)
16) (iv)
17) (iii)
18) (i)
19) (i)
20) (i)
21) (ii)
22) (iii)
23) (iv)
24) (iii)
25) (iv)
