EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Heights of 78 students (in cm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Height (in cm)
122 - 132
132 - 142
142 - 152
152 - 162
162 - 172
172 - 182
No. of students
13
20
8
6
11
20
(ii)
Height (in cm)
122 - 132
132 - 142
142 - 152
152 - 162
162 - 172
172 - 182
No. of students
13
8
20
6
11
20
(iii)
Height (in cm)
122 - 132
132 - 142
142 - 152
152 - 162
162 - 172
172 - 182
No. of students
13
20
3
6
11
20
(iv)
Height (in cm)
122 - 132
132 - 142
142 - 152
152 - 162
162 - 172
172 - 182
No. of students
13
20
8
10
11
20
Question
2
2.
Temperatures of 63 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
10
15
12
9
17
(ii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
10
18
12
9
17
(iii)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
10
15
8
9
17
(iv)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
10
12
15
9
17
(v)
Temperature (in degree)
30 - 39
39 - 48
48 - 57
57 - 66
66 - 75
No. of days
10
17
12
9
15
Question
3
3.
Scores of 25 students are given below. Find the mean.
Score
70
71
74
75
76
79
80
84
86
88
90
No. of students
3
2
1
1
2
1
1
5
1
3
5
(i)
2057
25
(ii)
2033
25
(iii)
2034
25
(iv)
2032
25
(v)
2082
25
Question
4
4.
Ages of 87 students (in years) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Age (in years)
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
No. of students
14
18
12
10
8
19
6
(ii)
Age (in years)
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
No. of students
14
12
6
10
8
19
18
(iii)
Age (in years)
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
No. of students
14
6
17
10
8
19
18
(iv)
Age (in years)
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
No. of students
14
6
12
10
8
19
18
(v)
Age (in years)
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
No. of students
14
6
12
5
8
19
18
Question
5
5.
Ages of 60 students (in years) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Age (in years)
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
No. of students
9
19
8
12
12
(ii)
Age (in years)
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
No. of students
9
14
8
12
12
(iii)
Age (in years)
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
No. of students
9
19
13
12
12
(iv)
Age (in years)
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
No. of students
9
8
19
12
12
(v)
Age (in years)
11 - 19
20 - 28
29 - 37
38 - 46
47 - 55
No. of students
9
12
8
12
19
Question
6
6.
The daily wages of
136
workers in a factory are given below.
Find the
mode wage.
Wage (in rupees)
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
74 - 82
83 - 91
No. of workers
23
28
21
12
6
15
13
18
(i)
₹
34.25
(ii)
₹
32.25
(iii)
₹
33.25
(iv)
₹
32.50
(v)
₹
32.75
Question
7
7.
Heights of 85 students (in cm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Height (in cm)
126 - 133
134 - 141
142 - 149
150 - 157
158 - 165
166 - 173
No. of students
17
15
20
11
9
13
(ii)
Height (in cm)
126 - 133
134 - 141
142 - 149
150 - 157
158 - 165
166 - 173
No. of students
17
15
20
9
9
13
(iii)
Height (in cm)
126 - 133
134 - 141
142 - 149
150 - 157
158 - 165
166 - 173
No. of students
17
13
20
11
9
15
(iv)
Height (in cm)
126 - 133
134 - 141
142 - 149
150 - 157
158 - 165
166 - 173
No. of students
17
20
15
11
9
13
(v)
Height (in cm)
126 - 133
134 - 141
142 - 149
150 - 157
158 - 165
166 - 173
No. of students
17
15
17
11
9
13
Question
8
8.
Heights of 15 students are given below. Find the median.
Height (in cm)
125
132
138
141
146
149
155
158
172
173
No. of students
1
3
1
1
2
2
1
2
1
1
(i)
147
cm
(ii)
146
cm
(iii)
148
cm
(iv)
144
cm
(v)
145
cm
Question
9
9.
Identify the class interval table for the given less than cumulative frequency table
Class-Interval
Cumulative Frequency
11 - 18
13
18 - 25
25
25 - 32
37
32 - 39
48
39 - 46
61
46 - 53
70
(i)
Class-Interval
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
Frequency
13
12
16
11
13
9
(ii)
Class-Interval
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
Frequency
13
9
12
11
13
12
(iii)
Class-Interval
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
Frequency
13
12
12
6
13
9
(iv)
Class-Interval
11 - 18
18 - 25
25 - 32
32 - 39
39 - 46
46 - 53
Frequency
13
12
12
11
13
9
Question
10
10.
Temperatures of 26 days are given below. Find the mode.
Temperature (in degree C)
25
26
27
28
29
30
31
32
33
34
35
No. of days
4
3
3
1
2
3
2
2
1
2
3
(i)
27
°C
(ii)
24
°C
(iii)
23
°C
(iv)
25
°C
(v)
26
°C
Question
11
11.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
35 - 44
60
44 - 53
55
53 - 62
39
62 - 71
27
71 - 80
22
80 - 89
10
(i)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
Frequency
5
16
12
3
12
10
(ii)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
Frequency
5
16
16
5
12
10
(iii)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
Frequency
5
12
16
5
12
10
(iv)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
Frequency
5
16
12
5
12
10
(v)
Class-Interval
35 - 44
44 - 53
53 - 62
62 - 71
71 - 80
80 - 89
Frequency
5
10
12
5
12
16
Question
12
12.
Rainfall of 84 days (in mm) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Rainfall (in mm)
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
No. of days
13
10
13
20
6
16
10
(ii)
Rainfall (in mm)
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
No. of days
13
9
10
20
6
16
10
(iii)
Rainfall (in mm)
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
No. of days
13
10
9
20
6
16
10
(iv)
Rainfall (in mm)
13 - 20
21 - 28
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
No. of days
13
10
9
18
6
16
10
Question
13
13.
Rainfall of 15 days are given below. Find the median.
Rainfall (in mm)
5
6
7
9
10
11
12
13
15
No. of days
1
1
1
2
3
2
2
2
1
(i)
8
mm
(ii)
9
mm
(iii)
11
mm
(iv)
12
mm
(v)
10
mm
Question
14
14.
Ages of 15 students are given below. Find the median.
Age (in years)
10
11
12
13
14
15
No. of students
2
3
1
4
2
3
(i)
12
years
(ii)
14
years
(iii)
13
years
(iv)
11
years
(v)
15
years
Question
15
15.
Find the cumulative frequency of class
37
-
47
.
Class-Interval
17 - 27
27 - 37
37 - 47
47 - 57
Frequency
25
25
25
13
(i)
76
(ii)
74
(iii)
73
(iv)
75
(v)
77
Question
16
16.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
12 - 21
7
21 - 30
17
30 - 39
22
39 - 48
31
48 - 57
37
(i)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
Frequency
7
10
2
9
6
(ii)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
Frequency
7
5
10
9
6
(iii)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
Frequency
7
14
5
9
6
(iv)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
Frequency
7
10
5
9
6
(v)
Class-Interval
12 - 21
21 - 30
30 - 39
39 - 48
48 - 57
Frequency
7
6
5
9
10
Question
17
17.
Temperatures of 25 days are given below. Find the mean.
Temperature (in degree C)
25
26
29
30
31
32
33
35
No. of days
3
3
3
2
2
2
6
4
(i)
789
25
°C
(ii)
814
25
°C
(iii)
153
5
°C
(iv)
764
25
°C
(v)
766
25
°C
Question
18
18.
Rainfall of 77 days (in mm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
18
15
12
5
10
17
(ii)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
18
17
15
5
10
15
(iii)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
18
17
12
9
10
15
(iv)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
18
12
17
5
10
15
(v)
Rainfall (in mm)
5 - 11
11 - 17
17 - 23
23 - 29
29 - 35
35 - 41
No. of days
18
17
12
5
10
15
Question
19
19.
Emperical relation between Mean, Median and Mode is
(i)
Mode = 3Median - 3Mean
(ii)
Mode = 3Median - 2Mean
(iii)
Mode = 2Median - 3Mean
(iv)
Mode = 3Median + 2Mean
Question
20
20.
Scores of 59 students are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Score
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of students
5
10
13
13
18
(ii)
Score
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of students
5
13
13
13
18
(iii)
Score
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of students
5
13
10
13
18
(iv)
Score
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of students
5
18
13
13
10
(v)
Score
74 - 81
81 - 88
88 - 95
95 - 102
102 - 109
No. of students
5
10
9
13
18
Question
21
21.
Weights of 11 students are given below. Find the mode.
Weight (in kg)
40
42
48
49
52
53
55
60
No. of students
1
1
1
1
3
1
1
2
(i)
54
kg
(ii)
52
kg
(iii)
51
kg
(iv)
53
kg
(v)
50
kg
Question
22
22.
Temperatures of 75 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of days
7
15
5
14
14
20
(ii)
Temperature (in degree)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of days
7
15
3
14
14
20
(iii)
Temperature (in degree)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of days
7
5
15
14
14
20
(iv)
Temperature (in degree)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of days
7
20
5
14
14
15
(v)
Temperature (in degree)
34 - 42
43 - 51
52 - 60
61 - 69
70 - 78
79 - 87
No. of days
7
15
5
17
14
20
Question
23
23.
Heights of 95 plants (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
57 - 63
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
No. of plants
19
9
18
9
6
10
16
8
(ii)
Height (in cm)
57 - 63
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
No. of plants
19
8
18
9
6
10
16
9
(iii)
Height (in cm)
57 - 63
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
No. of plants
19
9
14
9
6
10
16
8
(iv)
Height (in cm)
57 - 63
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
No. of plants
19
9
18
9
11
10
16
8
(v)
Height (in cm)
57 - 63
63 - 69
69 - 75
75 - 81
81 - 87
87 - 93
93 - 99
99 - 105
No. of plants
19
9
9
18
6
10
16
8
Question
24
24.
Weights of 72 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of students
13
7
19
14
19
(ii)
Weight (in kg)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of students
13
19
11
14
19
(iii)
Weight (in kg)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of students
13
22
7
14
19
(iv)
Weight (in kg)
45 - 55
55 - 65
65 - 75
75 - 85
85 - 95
No. of students
13
19
7
14
19
Question
25
25.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Class-Interval
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
Frequency
10
19
13
11
11
(ii)
Class-Interval
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
Frequency
14
8
18
1
5
(iii)
Class-Interval
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
Frequency
3
15
12
9
12
(iv)
Class-Interval
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
Frequency
6
5
8
11
11
(v)
Class-Interval
13 - 23
23 - 33
33 - 43
43 - 53
53 - 63
Frequency
6
6
18
18
6
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (iv)
5) (i)
6) (ii)
7) (i)
8) (ii)
9) (iv)
10) (iv)
11) (iv)
12) (iii)
13) (v)
14) (iii)
15) (iv)
16) (iv)
17) (iv)
18) (v)
19) (ii)
20) (i)
21) (ii)
22) (i)
23) (i)
24) (iv)
25) (iv)
