EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Heights of 64 students (in cm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of students
18
11
5
6
7
17
(ii)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of students
18
5
11
6
7
17
(iii)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of students
18
17
11
6
7
5
(iv)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of students
18
5
11
8
7
17
(v)
Height (in cm)
126 - 131
131 - 136
136 - 141
141 - 146
146 - 151
151 - 156
No. of students
18
5
14
6
7
17
Question
2
2.
Find the cumulative frequency of class
44
-
49
.
Class-Interval
19 - 24
24 - 29
29 - 34
34 - 39
39 - 44
44 - 49
49 - 54
54 - 59
Frequency
5
22
18
19
16
7
11
7
(i)
84
(ii)
90
(iii)
87
(iv)
88
(v)
86
Question
3
3.
Heights of 95 plants (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
No. of plants
19
8
16
18
12
18
8
(ii)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
No. of plants
19
8
12
18
12
18
8
(iii)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
No. of plants
19
8
12
22
12
18
8
(iv)
Height (in cm)
54 - 59
59 - 64
64 - 69
69 - 74
74 - 79
79 - 84
84 - 89
No. of plants
19
12
8
18
12
18
8
Question
4
4.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
Frequency
13
9
14
2
16
20
14
(ii)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
Frequency
4
1
8
9
17
10
20
(iii)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
Frequency
9
1
7
3
11
4
12
(iv)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
Frequency
17
7
11
2
3
18
17
(v)
Class-Interval
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
48 - 54
Frequency
4
5
15
12
6
2
15
Question
5
5.
Weights of 11 students are given below. Find the mode.
Weight (in kg)
42
43
55
56
No. of students
2
2
5
2
(i)
57
kg
(ii)
56
kg
(iii)
53
kg
(iv)
55
kg
(v)
54
kg
Question
6
6.
Rainfall of 97 days (in mm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
20
17
10
9
8
8
5
(ii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
20
10
17
9
8
8
5
(iii)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
20
10
17
5
8
8
5
(iv)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
20
7
17
9
8
8
5
(v)
Rainfall (in mm)
8 - 16
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of days
20
5
10
17
9
8
8
20
Question
7
7.
Weights of 54 students (in kg) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of students
11
11
13
12
5
(ii)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of students
11
13
11
12
5
(iii)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of students
11
5
13
12
13
(iv)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
No. of students
11
13
13
12
5
Question
8
8.
Heights of 30 plants are given below. Find the mean.
Height (in cm)
51
54
56
59
78
86
95
98
No. of plants
3
6
2
4
4
2
5
4
(i)
1118
15
cm
(ii)
218
3
cm
(iii)
1103
15
cm
(iv)
363
5
cm
(v)
1088
15
cm
Question
9
9.
Heights of 97 plants (in cm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
No. of plants
10
19
7
13
10
13
9
16
(ii)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
No. of plants
10
16
7
13
6
13
9
19
(iii)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
No. of plants
10
16
13
7
10
13
9
19
(iv)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
No. of plants
10
16
4
13
10
13
9
19
(v)
Height (in cm)
69 - 77
78 - 86
87 - 95
96 - 104
105 - 113
114 - 122
123 - 131
132 - 140
No. of plants
10
16
7
13
10
13
9
19
Question
10
10.
The mean and median of a uni-modal grouped data are 70.9 and 35.3 respectively. Find the mode of the data.
(i)
140.1
(ii)
141.1
(iii)
143.1
(iv)
142.1
(v)
144.1
Question
11
11.
The daily wages of
109
workers in a factory are given below.
Find the
median wage.
Wage (in rupees)
20 - 30
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of workers
20
9
27
18
21
14
(i)
₹
52.11
(ii)
₹
52.00
(iii)
₹
53.89
(iv)
₹
52.89
(v)
₹
51.89
Question
12
12.
Rainfall of 76 days (in mm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
No. of days
8
18
15
18
17
(ii)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
No. of days
8
15
18
18
17
(iii)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
No. of days
8
17
15
18
18
(iv)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
No. of days
8
21
15
18
17
(v)
Rainfall (in mm)
5 - 12
13 - 20
21 - 28
29 - 36
37 - 44
No. of days
8
18
11
18
17
Question
13
13.
Ages of 73 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of students
16
11
5
14
5
17
(ii)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of students
16
11
10
14
5
17
(iii)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of students
16
10
11
14
5
17
(iv)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of students
16
17
10
14
5
11
(v)
Age (in years)
12 - 20
21 - 29
30 - 38
39 - 47
48 - 56
57 - 65
No. of students
16
11
10
16
5
17
Question
14
14.
The daily income of 63 workers of a factory is given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Daily income (in Rs)
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
No. of workers
9
5
9
9
6
10
6
5
(ii)
Daily income (in Rs)
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
No. of workers
9
5
14
9
10
10
6
5
(iii)
Daily income (in Rs)
100 - 110
110 - 120
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
170 - 180
No. of workers
9
5
9
9
10
10
6
5
Question
15
15.
Heights of 64 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of plants
16
19
12
8
9
(ii)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of plants
16
9
19
8
12
(iii)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of plants
16
12
21
8
9
(iv)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of plants
16
10
19
8
9
(v)
Height (in cm)
50 - 56
57 - 63
64 - 70
71 - 77
78 - 84
No. of plants
16
12
19
8
9
Question
16
16.
Wages of 25 labourers are given below. Find the median.
Wage (in rupees)
311
322
347
390
422
424
437
462
No. of labourers
4
2
5
3
3
3
4
1
(i)
₹
392.00
(ii)
₹
390.00
(iii)
₹
389.00
(iv)
₹
391.00
(v)
₹
388.00
Question
17
17.
Temperatures of 21 days are given below. Find the mode.
Temperature (in degree C)
25
26
27
28
29
34
35
No. of days
2
2
5
3
3
4
2
(i)
29
°C
(ii)
28
°C
(iii)
26
°C
(iv)
25
°C
(v)
27
°C
Question
18
18.
The daily income of 42 workers of a factory is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
less than 200
No. of workers
10
19
24
32
42
(ii)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
less than 200
No. of workers
10
20
29
37
42
(iii)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
less than 200
No. of workers
10
15
24
32
42
(iv)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
less than 200
No. of workers
10
15
22
30
40
(v)
Daily income (in Rs)
less than 120
less than 140
less than 160
less than 180
less than 200
No. of workers
10
13
22
30
40
Question
19
19.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Class-Interval
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
Frequency
9
2
19
7
10
1
10
4
(ii)
Class-Interval
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
Frequency
16
9
15
19
20
10
1
3
(iii)
Class-Interval
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
Frequency
9
12
17
8
6
7
19
15
(iv)
Class-Interval
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
Frequency
19
8
5
9
19
17
5
14
(v)
Class-Interval
15 - 24
25 - 34
35 - 44
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
Frequency
7
9
11
3
3
12
5
6
Question
20
20.
Temperatures of 82 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
28 - 34
35 - 41
42 - 48
49 - 55
56 - 62
No. of days
12
15
20
18
12
(ii)
Temperature (in degree)
28 - 34
35 - 41
42 - 48
49 - 55
56 - 62
No. of days
12
20
25
18
12
(iii)
Temperature (in degree)
28 - 34
35 - 41
42 - 48
49 - 55
56 - 62
No. of days
12
20
20
18
12
(iv)
Temperature (in degree)
28 - 34
35 - 41
42 - 48
49 - 55
56 - 62
No. of days
12
12
20
18
20
Question
21
21.
Heights of 60 plants (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
No. of plants
15
9
7
18
7
(ii)
Height (in cm)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
No. of plants
15
7
13
18
7
(iii)
Height (in cm)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
No. of plants
15
13
7
18
7
(iv)
Height (in cm)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
No. of plants
15
7
7
18
13
(v)
Height (in cm)
53 - 63
63 - 73
73 - 83
83 - 93
93 - 103
No. of plants
15
13
5
18
7
Question
22
22.
Heights of 63 students (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
124 - 129
129 - 134
134 - 139
139 - 144
144 - 149
149 - 154
154 - 159
159 - 164
No. of students
7
12
3
6
8
5
11
9
(ii)
Height (in cm)
124 - 129
129 - 134
134 - 139
139 - 144
144 - 149
149 - 154
154 - 159
159 - 164
No. of students
7
9
5
6
8
5
11
12
(iii)
Height (in cm)
124 - 129
129 - 134
134 - 139
139 - 144
144 - 149
149 - 154
154 - 159
159 - 164
No. of students
7
12
6
5
8
5
11
9
(iv)
Height (in cm)
124 - 129
129 - 134
134 - 139
139 - 144
144 - 149
149 - 154
154 - 159
159 - 164
No. of students
7
12
5
6
13
5
11
9
(v)
Height (in cm)
124 - 129
129 - 134
134 - 139
139 - 144
144 - 149
149 - 154
154 - 159
159 - 164
No. of students
7
12
5
6
8
5
11
9
Question
23
23.
During the medical check-up of 31 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
40 - 48
48 - 56
56 - 64
64 - 72
Frequency
6
5
11
9
(i)
28
(ii)
31
(iii)
32
(iv)
34
(v)
30
Question
24
24.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
(i)
₹140.00
(ii)
₹137.50
(iii)
₹145.00
(iv)
₹135.00
(v)
₹142.50
Question
25
25.
Identify the cumulative frequency of the given grouped data.
class interval
23 - 29
30 - 36
37 - 43
44 - 50
51 - 57
58 - 64
65 - 71
frequency
9
17
13
8
18
21
10
(i)
class interval
Cumulative Frequency
23 - 29
9
30 - 36
22
37 - 43
39
44 - 50
47
51 - 57
65
58 - 64
86
65 - 71
96
(ii)
class interval
Cumulative Frequency
23 - 29
9
30 - 36
26
37 - 43
39
44 - 50
47
51 - 57
65
58 - 64
86
65 - 71
96
(iii)
class interval
Cumulative Frequency
23 - 29
9
30 - 36
19
37 - 43
32
44 - 50
40
51 - 57
58
58 - 64
79
65 - 71
96
(iv)
class interval
Cumulative Frequency
23 - 29
9
30 - 36
26
37 - 43
41
44 - 50
49
51 - 57
67
58 - 64
88
65 - 71
98
(v)
class interval
Cumulative Frequency
23 - 29
9
30 - 36
26
37 - 43
39
44 - 50
51
51 - 57
69
58 - 64
90
65 - 71
100
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (iii)
5) (iv)
6) (ii)
7) (iv)
8) (v)
9) (v)
10) (iv)
11) (v)
12) (i)
13) (ii)
14) (iii)
15) (v)
16) (ii)
17) (v)
18) (iii)
19) (v)
20) (iii)
21) (iii)
22) (v)
23) (ii)
24) (i)
25) (ii)