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
87
persons in a group.
Find the
mode weight.
Weight (in kg)
50 - 56
56 - 62
62 - 68
68 - 74
74 - 80
80 - 86
No. of persons
19
16
20
11
12
9
(i)
64
kg
(ii)
831
13
kg
(iii)
830
13
kg
(iv)
843
13
kg
(v)
856
13
kg
Question
2
2.
The mid value of the class with frequency x is
Class-Interval
Frequency
16 - 21
21
22 - 27
x
28 - 33
6
34 - 39
24
40 - 45
3
(i)
51
2
(ii)
25
(iii)
97
4
(iv)
49
2
(v)
47
2
Question
3
3.
Wages of 31 labourers are given below. Find the mode.
Wage (in rupees)
344
350
355
356
359
379
386
423
445
466
471
481
No. of labourers
2
2
6
4
2
2
4
1
1
3
2
2
(i)
₹
357.00
(ii)
₹
354.00
(iii)
₹
355.00
(iv)
₹
356.00
(v)
₹
353.00
Question
4
4.
Rainfall of 89 days (in mm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
No. of days
7
13
15
14
13
6
5
16
(ii)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
No. of days
7
13
14
15
13
6
5
16
(iii)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
No. of days
7
13
12
15
13
6
5
16
(iv)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
No. of days
7
13
14
15
18
6
5
16
(v)
Rainfall (in mm)
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
63 - 73
73 - 83
83 - 93
No. of days
7
16
14
15
13
6
5
13
Question
5
5.
The class boundaries of 22 - 32 which is in exclusive form are
(i)
22.5
-
31.5
(ii)
21.5
-
32
(iii)
22
-
32
(iv)
21.5
-
32.5
(v)
22
-
32.5
Question
6
6.
Daily wages of 84 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Daily wage (in Rs)
246 - 256
257 - 267
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
11
12
11
10
16
5
19
(ii)
Daily wage (in Rs)
246 - 256
257 - 267
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
11
19
11
13
16
5
12
(iii)
Daily wage (in Rs)
246 - 256
257 - 267
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
11
11
19
10
16
5
12
(iv)
Daily wage (in Rs)
246 - 256
257 - 267
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
11
19
14
10
16
5
12
(v)
Daily wage (in Rs)
246 - 256
257 - 267
268 - 278
279 - 289
290 - 300
301 - 311
312 - 322
No. of labourers
11
19
11
10
16
5
12
Question
7
7.
The class boundaries of 17 - 26 which is in inclusive form are
(i)
16.5
-
27
(ii)
17
-
26
(iii)
16.5
-
26.5
(iv)
16
-
26.5
(v)
16
-
27
Question
8
8.
The marks obtained by 55 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
Marks
less than 10
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
8
15
23
31
37
47
55
(i)
22.86
(ii)
27.86
(iii)
17.86
(iv)
25.86
(v)
19.86
Question
9
9.
Daily wages of 58 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Daily wage (in Rs)
241 - 248
249 - 256
257 - 264
265 - 272
273 - 280
No. of labourers
14
5
13
8
18
(ii)
Daily wage (in Rs)
241 - 248
249 - 256
257 - 264
265 - 272
273 - 280
No. of labourers
14
18
9
8
5
(iii)
Daily wage (in Rs)
241 - 248
249 - 256
257 - 264
265 - 272
273 - 280
No. of labourers
14
18
13
8
5
(iv)
Daily wage (in Rs)
241 - 248
249 - 256
257 - 264
265 - 272
273 - 280
No. of labourers
14
13
18
8
5
(v)
Daily wage (in Rs)
241 - 248
249 - 256
257 - 264
265 - 272
273 - 280
No. of labourers
14
23
13
8
5
Question
10
10.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
48 - 56
13
56 - 64
12
64 - 72
13
72 - 80
14
80 - 88
x
(i)
80
-
88
(ii)
80.5
-
87.5
(iii)
80
-
88.5
(iv)
79.5
-
88.5
(v)
79.5
-
88
Question
11
11.
Weights of 64 students (in kg) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
8
21
11
13
16
(ii)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
8
16
11
13
16
(iii)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
8
11
16
13
16
(iv)
Weight (in kg)
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
No. of students
8
16
14
13
16
Question
12
12.
Heights of 86 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
62 - 67
67 - 72
72 - 77
77 - 82
82 - 87
87 - 92
92 - 97
No. of plants
10
12
4
18
15
9
13
(ii)
Height (in cm)
62 - 67
67 - 72
72 - 77
77 - 82
82 - 87
87 - 92
92 - 97
No. of plants
10
12
9
18
15
9
13
(iii)
Height (in cm)
62 - 67
67 - 72
72 - 77
77 - 82
82 - 87
87 - 92
92 - 97
No. of plants
10
12
9
13
15
9
13
(iv)
Height (in cm)
62 - 67
67 - 72
72 - 77
77 - 82
82 - 87
87 - 92
92 - 97
No. of plants
10
13
9
18
15
9
12
(v)
Height (in cm)
62 - 67
67 - 72
72 - 77
77 - 82
82 - 87
87 - 92
92 - 97
No. of plants
10
9
12
18
15
9
13
Question
13
13.
Daily wages of 81 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Daily wage (in Rs)
203 - 211
211 - 219
219 - 227
227 - 235
235 - 243
243 - 251
No. of labourers
10
6
12
12
18
20
(ii)
Daily wage (in Rs)
203 - 211
211 - 219
219 - 227
227 - 235
235 - 243
243 - 251
No. of labourers
10
6
7
15
18
20
(iii)
Daily wage (in Rs)
203 - 211
211 - 219
219 - 227
227 - 235
235 - 243
243 - 251
No. of labourers
10
20
12
15
18
6
(iv)
Daily wage (in Rs)
203 - 211
211 - 219
219 - 227
227 - 235
235 - 243
243 - 251
No. of labourers
10
6
12
15
18
20
(v)
Daily wage (in Rs)
203 - 211
211 - 219
219 - 227
227 - 235
235 - 243
243 - 251
No. of labourers
10
12
6
15
18
20
Question
14
14.
Given class interval
48
-
50
in exclusive form, its
mid value is
(i)
50
(ii)
52
(iii)
46
(iv)
48
(v)
49
Question
15
15.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
6
15
9
11
9
9
14
19
(ii)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
11
11
17
10
14
10
5
8
(iii)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
11
2
2
11
20
7
10
1
(iv)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
12
11
10
5
6
5
12
5
(v)
Class-Interval
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
6
9
16
14
6
18
5
7
Question
16
16.
A frequency distribution table is given below.
Find the
mean .
Class-Interval
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
Frequency
14
31
4
23
14
47
(i)
99
2
(ii)
97
2
(iii)
48
(iv)
95
2
Question
17
17.
Weights of 25 students are given below. Find the median.
Weight (in kg)
41
42
54
56
57
58
60
No. of students
5
4
3
5
4
2
2
(i)
57
kg
(ii)
54
kg
(iii)
55
kg
(iv)
56
kg
(v)
58
kg
Question
18
18.
Weights of 89 students (in kg) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Weight (in kg)
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
No. of students
14
13
11
7
15
13
20
(ii)
Weight (in kg)
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
No. of students
14
13
7
7
15
13
20
(iii)
Weight (in kg)
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
No. of students
14
20
7
7
15
13
13
(iv)
Weight (in kg)
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
No. of students
14
7
13
7
15
13
20
(v)
Weight (in kg)
43 - 52
52 - 61
61 - 70
70 - 79
79 - 88
88 - 97
97 - 106
No. of students
14
13
7
9
15
13
20
Question
19
19.
The given ogive represents the heights of workers (in cm) in a factory.
Find the number of workers whose height is less than
157 cm
(i)
19
(ii)
10
(iii)
15
(iv)
20
(v)
11
Question
20
20.
The heights of 42 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
No. of pupils
6
12
7
3
11
3
(ii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
No. of pupils
6
3
7
3
11
12
(iii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
No. of pupils
6
12
10
3
11
3
(iv)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
No. of pupils
6
12
7
6
11
3
(v)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
No. of pupils
6
7
12
3
11
3
Question
21
21.
Which of the following are continuous variables?
a)
Wages of workers in a factory.
b)
Weights of persons in a group.
c)
Heights of children in a class.
d)
Number of members in a family.
e)
Number of workers in a factory.
(i)
{d,a,b}
(ii)
{a,b,c}
(iii)
{d,e,c}
(iv)
{e,b}
(v)
{d,a}
Question
22
22.
A frequency distribution table is given below.
Find the
median .
Class-Interval
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
55 - 60
Frequency
41
35
9
15
14
14
14
36
(i)
115
3
(ii)
110
3
(iii)
112
3
(iv)
109
3
(v)
37
Question
23
23.
Which of the following class intervals are in exclusive form?
a)
47 - 54 , 55 - 62 , 63 - 70,...
b)
22.5 - 30.5 , 30.5 - 38.5 , 38.5 - 46.5...
c)
44 - 51 , 51 - 58 , 58 - 65...
d)
23 - 30 , 31 - 38 , 39 - 46,...
e)
23 - 30 , 30 - 37 , 37 - 44,...
(i)
{a,b,c}
(ii)
{b,c,e}
(iii)
{a,d,e}
(iv)
{d,c}
(v)
{a,b}
Question
24
24.
Heights of 21 plants are given below. Find the mode.
Height (in cm)
52
62
64
68
76
77
84
88
98
99
No. of plants
1
1
2
3
1
2
1
1
2
7
(i)
101
cm
(ii)
97
cm
(iii)
98
cm
(iv)
100
cm
(v)
99
cm
Question
25
25.
Daily wages of 67 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Daily wage (in Rs)
279 - 285
285 - 291
291 - 297
297 - 303
303 - 309
No. of labourers
19
13
12
6
17
(ii)
Daily wage (in Rs)
279 - 285
285 - 291
291 - 297
297 - 303
303 - 309
No. of labourers
19
13
15
6
17
(iii)
Daily wage (in Rs)
279 - 285
285 - 291
291 - 297
297 - 303
303 - 309
No. of labourers
19
8
12
6
17
(iv)
Daily wage (in Rs)
279 - 285
285 - 291
291 - 297
297 - 303
303 - 309
No. of labourers
19
17
12
6
13
(v)
Daily wage (in Rs)
279 - 285
285 - 291
291 - 297
297 - 303
303 - 309
No. of labourers
19
12
13
6
17
Assignment Key
1) (iii)
2) (iv)
3) (iii)
4) (ii)
5) (iii)
6) (v)
7) (iii)
8) (i)
9) (iii)
10) (i)
11) (ii)
12) (ii)
13) (iv)
14) (v)
15) (iv)
16) (iv)
17) (iv)
18) (ii)
19) (iii)
20) (i)
21) (ii)
22) (iv)
23) (ii)
24) (v)
25) (i)
