EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Weights of 15 students are given below. Find the median.
Weight (in kg)
41
44
45
47
48
57
60
No. of students
3
3
1
3
2
2
1
(i)
48
kg
(ii)
49
kg
(iii)
45
kg
(iv)
46
kg
(v)
47
kg
Question
2
2.
Heights of 81 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
20
8
15
10
13
15
(ii)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
20
15
15
15
13
8
(iii)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
20
15
15
10
13
8
(iv)
Height (in cm)
129 - 136
136 - 143
143 - 150
150 - 157
157 - 164
164 - 171
No. of students
20
15
20
10
13
8
Question
3
3.
The Marks obtained by 56 students of a class in an examination is given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
6
10
8
6
5
5
10
6
(ii)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
6
10
13
6
5
5
10
6
(iii)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
6
10
6
8
5
5
10
6
(iv)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
6
6
8
6
5
5
10
10
(v)
Marks
9 - 14
14 - 19
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
No. of students
6
10
8
6
10
5
10
6
Question
4
4.
Temperatures of 30 days are given below. Find the mean.
Temperature (in degree C)
25
26
27
28
29
30
31
32
No. of days
5
6
2
5
5
1
2
4
(i)
30
°C
(ii)
27
°C
(iii)
29
°C
(iv)
26
°C
(v)
28
°C
Question
5
5.
Ages of 103 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
19
10
12
9
18
6
11
18
(ii)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
19
10
9
12
18
6
11
18
(iii)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
19
18
12
9
18
6
11
10
(iv)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
19
10
12
9
20
6
11
18
(v)
Age (in years)
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
75 - 84
No. of students
19
10
10
9
18
6
11
18
Question
6
6.
Heights of 30 students are given below. Find the mean.
Height (in cm)
133
134
135
136
142
155
157
166
170
No. of students
4
3
6
3
3
4
1
3
3
(i)
291
2
cm
(ii)
4393
30
cm
(iii)
4423
30
cm
(iv)
4363
30
cm
(v)
2182
15
cm
Question
7
7.
The following table shows the weights of
53
persons in a group.
Find the
mode weight.
Weight (in kg)
40 - 48
49 - 57
58 - 66
67 - 75
76 - 84
No. of persons
12
11
9
16
5
(i)
71
kg
(ii)
69
kg
(iii)
72
kg
(iv)
68
kg
(v)
70
kg
Question
8
8.
The daily wage of 39 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
less than 200
No. of workers
8
16
26
32
39
(i)
₹144.95
(ii)
₹162.95
(iii)
₹133.95
(iv)
₹171.95
(v)
₹147.95
Question
9
9.
During the medical check-up of 72 students of a class, their weights in kgs are recorded as follows.
Identify the number of students whose weight is more than 74 kg
Class-Interval
34 - 42
42 - 50
50 - 58
58 - 66
66 - 74
74 - 82
82 - 90
90 - 98
Frequency
9
6
10
9
11
12
6
9
(i)
27
(ii)
30
(iii)
26
(iv)
25
(v)
28
Question
10
10.
Heights of 79 students (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
179 - 189
190 - 200
No. of students
14
10
8
9
12
15
11
(ii)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
179 - 189
190 - 200
No. of students
14
11
8
9
12
15
10
(iii)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
179 - 189
190 - 200
No. of students
14
10
5
9
12
15
11
(iv)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
179 - 189
190 - 200
No. of students
14
10
8
13
12
15
11
(v)
Height (in cm)
124 - 134
135 - 145
146 - 156
157 - 167
168 - 178
179 - 189
190 - 200
No. of students
14
8
10
9
12
15
11
Question
11
11.
The following table shows the weights of
90
persons in a group.
Find the
mean weight.
Weight (in kg)
20 - 27
28 - 35
36 - 43
44 - 51
52 - 59
60 - 67
68 - 75
76 - 83
No. of persons
11
11
9
20
15
7
10
7
(i)
1487
30
kg
(ii)
4459
90
kg
(iii)
4639
90
kg
(iv)
446
9
kg
(v)
4549
90
kg
Question
12
12.
The following frequency distribution table gives
the monthly consumption of electricity of
111
consumers in a locality.
Find the
mode units.
Monthly consumption (in units)
44 - 54
54 - 64
64 - 74
74 - 84
84 - 94
94 - 104
No. of consumers
18
9
21
22
20
21
(i)
233
3
units
(ii)
232
3
units
(iii)
235
3
units
(iv)
78
units
(v)
238
3
units
Question
13
13.
Ages of 21 students are given below. Find the mode.
Age (in years)
10
11
12
13
14
15
No. of students
3
4
3
6
1
4
(i)
15
years
(ii)
14
years
(iii)
11
years
(iv)
12
years
(v)
13
years
Question
14
14.
The daily wages of
137
workers in a factory are given below.
Find the
median wage.
Wage (in rupees)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of workers
11
26
18
8
27
30
17
(i)
₹
41.06
(ii)
₹
43.02
(iii)
₹
42.02
(iv)
₹
41.04
(v)
₹
41.02
Question
15
15.
Heights of 82 plants (in cm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
12
19
13
11
8
19
(ii)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
12
13
19
11
8
19
(iii)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
12
19
13
14
8
19
(iv)
Height (in cm)
64 - 74
74 - 84
84 - 94
94 - 104
104 - 114
114 - 124
No. of plants
12
19
15
11
8
19
Question
16
16.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.
(i)
35.00 years
(ii)
38.75 years
(iii)
36.25 years
(iv)
37.50 years
(v)
40.00 years
Question
17
17.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
9
9
9
18
4
1
18
20
(ii)
Class-Interval
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
9
10
20
10
11
2
17
16
(iii)
Class-Interval
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
17
10
2
12
4
18
6
7
(iv)
Class-Interval
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
4
12
14
11
17
10
4
2
(v)
Class-Interval
11 - 16
16 - 21
21 - 26
26 - 31
31 - 36
36 - 41
41 - 46
46 - 51
Frequency
6
7
13
2
18
4
1
1
Question
18
18.
The following table shows the weights of
83
persons in a group.
Find the
median weight.
Weight (in kg)
10 - 18
19 - 27
28 - 36
37 - 45
46 - 54
55 - 63
64 - 72
No. of persons
5
20
8
7
16
15
12
(i)
371
8
kg
(ii)
1515
32
kg
(iii)
1547
32
kg
(iv)
1485
32
kg
(v)
1483
32
kg
Question
19
19.
The daily wages of
116
workers in a factory are given below.
Find the
mode wage.
Wage (in rupees)
30 - 38
38 - 46
46 - 54
54 - 62
62 - 70
70 - 78
78 - 86
No. of workers
22
23
14
11
20
9
17
(i)
₹
40.80
(ii)
₹
38.80
(iii)
₹
39.20
(iv)
₹
39.00
(v)
₹
39.80
Question
20
20.
Heights of 86 students (in cm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
18
8
17
5
19
17
(ii)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
18
17
8
7
19
17
(iii)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
18
8
17
7
19
17
(iv)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
18
17
17
7
19
8
(v)
Height (in cm)
130 - 138
139 - 147
148 - 156
157 - 165
166 - 174
175 - 183
No. of students
18
8
14
7
19
17
Question
21
21.
The mean and median of a uni-modal grouped data are 76 and 74 respectively. Find the mode of the data.
(i)
79
(ii)
78
(iii)
82
(iv)
80
(v)
81
Question
22
22.
Temperatures of 91 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
No. of days
6
19
18
13
19
10
6
(ii)
Temperature (in degree)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
No. of days
6
6
19
13
19
10
18
(iii)
Temperature (in degree)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
No. of days
6
18
19
17
19
10
6
(iv)
Temperature (in degree)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
No. of days
6
18
19
13
19
10
6
(v)
Temperature (in degree)
32 - 39
39 - 46
46 - 53
53 - 60
60 - 67
67 - 74
74 - 81
No. of days
6
18
21
13
19
10
6
Question
23
23.
The daily wages of
107
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
No. of workers
22
9
22
14
30
10
(i)
₹
46.30
(ii)
₹
47.29
(iii)
₹
46.31
(iv)
₹
48.29
(v)
₹
46.29
Question
24
24.
Ages of 63 students (in years) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
8
9
11
10
13
(ii)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
8
5
11
10
13
(iii)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
13
9
11
10
8
(iv)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
9
8
11
10
13
(v)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of students
12
8
9
9
10
13
Question
25
25.
Scores of 10 students are given below. Find the mean.
Score
70
72
78
80
82
84
86
88
No. of students
1
2
2
1
1
1
1
1
(i)
77
(ii)
79
(iii)
78
(iv)
81
(v)
80
Assignment Key
1) (v)
2) (iii)
3) (i)
4) (v)
5) (i)
6) (iv)
7) (v)
8) (v)
9) (i)
10) (i)
11) (ii)
12) (ii)
13) (v)
14) (v)
15) (i)
16) (iv)
17) (v)
18) (v)
19) (ii)
20) (iii)
21) (iv)
22) (iv)
23) (v)
24) (i)
25) (ii)