EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
Frequency
6
16
18
15
19
(ii)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
Frequency
20
11
15
3
9
(iii)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
Frequency
16
8
11
1
10
(iv)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
Frequency
12
5
6
4
10
(v)
Class-Interval
19 - 26
27 - 34
35 - 42
43 - 50
51 - 58
Frequency
3
10
2
3
14
Question
2
2.
The following table shows the weights of
61
persons in a group.
Find the
mode weight.
Weight (in kg)
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of persons
10
11
20
7
13
(i)
647
11
kg
(ii)
1293
22
kg
(iii)
1315
22
kg
(iv)
1295
22
kg
(v)
1337
22
kg
Question
3
3.
Scores of 10 students are given below. Find the median.
Score
70
72
74
80
82
84
90
No. of students
2
3
1
1
1
1
1
(i)
71
(ii)
74
(iii)
75
(iv)
72
(v)
73
Question
4
4.
Heights of 99 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
17
15
20
9
18
5
15
(ii)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
17
20
15
9
18
5
15
(iii)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
17
15
20
6
18
5
15
(iv)
Height (in cm)
126 - 132
132 - 138
138 - 144
144 - 150
150 - 156
156 - 162
162 - 168
No. of students
17
15
22
9
18
5
15
Question
5
5.
The mean and median of a uni-modal grouped data are 84.8 and 40.9 respectively. Find the mode of the data.
(i)
171.6
(ii)
170.6
(iii)
174.6
(iv)
172.6
(v)
173.6
Question
6
6.
The heights of 35 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
(i)
Height (in cm)
less than 126
less than 131
less than 136
less than 141
less than 146
No. of pupils
8
18
24
31
35
(ii)
Height (in cm)
less than 126
less than 131
less than 136
less than 141
less than 146
No. of pupils
8
16
22
29
39
(iii)
Height (in cm)
less than 126
less than 131
less than 136
less than 141
less than 146
No. of pupils
8
12
18
25
35
(iv)
Height (in cm)
less than 126
less than 131
less than 136
less than 141
less than 146
No. of pupils
8
14
18
25
35
(v)
Height (in cm)
less than 126
less than 131
less than 136
less than 141
less than 146
No. of pupils
8
12
23
30
40
Question
7
7.
Ages of 87 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
No. of students
16
20
9
19
10
13
(ii)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
No. of students
16
13
9
19
10
20
(iii)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
No. of students
16
13
9
14
10
20
(iv)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
No. of students
16
13
4
19
10
20
(v)
Age (in years)
18 - 28
28 - 38
38 - 48
48 - 58
58 - 68
68 - 78
No. of students
16
9
13
19
10
20
Question
8
8.
Identify the cumulative frequency of the given grouped data.
class interval
42 - 48
49 - 55
56 - 62
63 - 69
frequency
20
18
24
22
(i)
class interval
Cumulative Frequency
42 - 48
22
49 - 55
40
56 - 62
64
63 - 69
84
(ii)
class interval
Cumulative Frequency
42 - 48
20
49 - 55
38
56 - 62
60
63 - 69
82
(iii)
class interval
Cumulative Frequency
42 - 48
20
49 - 55
38
56 - 62
62
63 - 69
84
(iv)
class interval
Cumulative Frequency
42 - 48
20
49 - 55
34
56 - 62
58
63 - 69
80
(v)
class interval
Cumulative Frequency
42 - 48
20
49 - 55
44
56 - 62
62
63 - 69
84
Question
9
9.
The class mark of the class with frequency x is
Class-Interval
Frequency
4 - 9
12
9 - 14
6
14 - 19
x
19 - 24
21
24 - 29
11
(i)
65
4
(ii)
31
2
(iii)
35
2
(iv)
17
(v)
33
2
Question
10
10.
Scores of 62 students are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Score
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
No. of students
20
11
7
17
9
(ii)
Score
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
No. of students
20
9
5
17
11
(iii)
Score
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
No. of students
20
8
5
17
9
(iv)
Score
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
No. of students
20
11
5
17
9
(v)
Score
80 - 85
85 - 90
90 - 95
95 - 100
100 - 105
No. of students
20
5
11
17
9
Question
11
11.
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)
200 - 240
241 - 281
282 - 322
323 - 363
364 - 404
405 - 445
Labourers
8
20
2
13
3
2
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
10
282 - 322
12
323 - 363
25
364 - 404
28
405 - 445
48
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
28
282 - 322
30
323 - 363
43
364 - 404
46
405 - 445
48
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
28
282 - 322
34
323 - 363
47
364 - 404
50
405 - 445
52
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
28
282 - 322
30
323 - 363
38
364 - 404
41
405 - 445
43
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
8
241 - 281
10
282 - 322
30
323 - 363
43
364 - 404
46
405 - 445
48
Question
12
12.
Given class interval
34
-
43
in exclusive form, its
mid value is
(i)
77
2
(ii)
79
2
(iii)
153
4
(iv)
39
(v)
75
2
Question
13
13.
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)
200 - 240
240 - 280
280 - 320
320 - 360
360 - 400
400 - 440
Labourers
12
11
16
16
11
20
(i)
Wages (in rupees)
Cumulative Frequency
200 - 240
12
240 - 280
28
280 - 320
39
320 - 360
55
360 - 400
66
400 - 440
86
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 240
12
240 - 280
23
280 - 320
39
320 - 360
55
360 - 400
66
400 - 440
86
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 240
12
240 - 280
23
280 - 320
39
320 - 360
57
360 - 400
68
400 - 440
88
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 240
12
240 - 280
23
280 - 320
35
320 - 360
51
360 - 400
62
400 - 440
82
(v)
Wages (in rupees)
Cumulative Frequency
200 - 240
12
240 - 280
32
280 - 320
48
320 - 360
64
360 - 400
75
400 - 440
86
Question
14
14.
A frequency distribution table is given below.
Find the
mode .
Class-Interval
13 - 19
20 - 26
27 - 33
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
Frequency
13
18
28
24
1
37
28
20
(i)
533
10
(ii)
266
5
(iii)
541
10
(iv)
531
10
(v)
551
10
Question
15
15.
The heights of 51 pupils in a school are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of pupils
3
12
5
10
3
3
6
9
(ii)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of pupils
3
12
5
10
6
3
6
9
(iii)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of pupils
3
12
2
10
3
3
6
9
(iv)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of pupils
3
9
5
10
3
3
6
12
(v)
Height (in cm)
124 - 133
134 - 143
144 - 153
154 - 163
164 - 173
174 - 183
184 - 193
194 - 203
No. of pupils
3
12
10
5
3
3
6
9
Question
16
16.
The marks obtained by 54 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
less than 45
No. of students
6
15
22
29
38
44
54
(i)
23.24
(ii)
33.24
(iii)
25.24
(iv)
31.24
(v)
28.24
Question
17
17.
Daily wages of 56 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Daily wage (in Rs)
264 - 269
269 - 274
274 - 279
279 - 284
284 - 289
No. of labourers
15
13
7
12
9
(ii)
Daily wage (in Rs)
264 - 269
269 - 274
274 - 279
279 - 284
284 - 289
No. of labourers
15
9
11
12
13
(iii)
Daily wage (in Rs)
264 - 269
269 - 274
274 - 279
279 - 284
284 - 289
No. of labourers
15
7
9
12
13
(iv)
Daily wage (in Rs)
264 - 269
269 - 274
274 - 279
279 - 284
284 - 289
No. of labourers
15
9
7
12
13
(v)
Daily wage (in Rs)
264 - 269
269 - 274
274 - 279
279 - 284
284 - 289
No. of labourers
15
6
7
12
13
Question
18
18.
The marks obtained by certain students in a mathematics examination are given below. Estimate the median.
(i)
56.79
(ii)
61.79
(iii)
64.29
(iv)
59.29
(v)
66.79
Question
19
19.
Heights of 90 students (in cm) 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
157 - 162
163 - 168
No. of students
11
13
9
15
5
12
16
9
(ii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
No. of students
11
9
9
15
5
12
16
13
(iii)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
No. of students
11
13
9
15
2
12
16
9
(iv)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
No. of students
11
13
15
9
5
12
16
9
(v)
Height (in cm)
121 - 126
127 - 132
133 - 138
139 - 144
145 - 150
151 - 156
157 - 162
163 - 168
No. of students
11
13
5
15
5
12
16
9
Question
20
20.
Temperatures of 84 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
No. of days
11
9
7
14
20
5
15
(ii)
Temperature (in degree)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
No. of days
11
10
9
14
20
5
15
(iii)
Temperature (in degree)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
No. of days
11
9
10
12
20
5
15
(iv)
Temperature (in degree)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
No. of days
11
15
10
14
20
5
9
(v)
Temperature (in degree)
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
89 - 98
No. of days
11
9
10
14
20
5
15
Question
21
21.
Temperatures of 11 days are given below. Find the mode.
Temperature (in degree C)
26
28
30
31
35
No. of days
1
4
3
1
2
(i)
28
°C
(ii)
26
°C
(iii)
29
°C
(iv)
30
°C
(v)
27
°C
Question
22
22.
The production yield in kg per hectare of wheat of 37 farms of a village is given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Production yield (in kg/ha)
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
Number of farms
7
6
5
11
5
7
(ii)
Production yield (in kg/ha)
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
Number of farms
7
6
2
7
5
7
(iii)
Production yield (in kg/ha)
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
Number of farms
7
5
6
7
5
7
(iv)
Production yield (in kg/ha)
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
Number of farms
7
7
5
7
5
6
(v)
Production yield (in kg/ha)
45 - 51
51 - 57
57 - 63
63 - 69
69 - 75
75 - 81
Number of farms
7
6
5
7
5
7
Question
23
23.
The given ogive represents the heights of workers (in cm) in a factory.
Find the number of workers whose height is more than
166 cm
(i)
25
(ii)
16
(iii)
17
(iv)
21
(v)
26
Question
24
24.
The daily wages of
82
workers in a factory are given below.
Find the
median wage.
Wage (in rupees)
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
No. of workers
13
10
20
21
12
6
(i)
₹
42.70
(ii)
₹
42.90
(iii)
₹
44.70
(iv)
₹
43.70
(v)
₹
42.80
Question
25
25.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
18 - 26
61
26 - 34
56
34 - 42
40
42 - 50
30
50 - 58
25
58 - 66
19
66 - 74
14
(i)
Class-Interval
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
5
16
8
5
6
5
14
(ii)
Class-Interval
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
5
10
16
5
6
5
14
(iii)
Class-Interval
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
5
16
10
10
6
5
14
(iv)
Class-Interval
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
5
14
10
5
6
5
16
(v)
Class-Interval
18 - 26
26 - 34
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
Frequency
5
16
10
5
6
5
14
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (i)
5) (iv)
6) (iii)
7) (ii)
8) (iii)
9) (v)
10) (iv)
11) (ii)
12) (i)
13) (ii)
14) (iv)
15) (i)
16) (v)
17) (iv)
18) (ii)
19) (i)
20) (v)
21) (i)
22) (v)
23) (iv)
24) (i)
25) (v)
