EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Ages of 15 students are given below. Find the mean.
Age (in years)
10
11
12
13
14
15
No. of students
1
1
4
4
3
2
(i)
13
years
(ii)
223
15
years
(iii)
208
15
years
(iv)
194
15
years
(v)
193
15
years
Question
2
2.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
37 - 46
10
47 - 56
15
57 - 66
30
67 - 76
43
77 - 86
56
87 - 96
71
97 - 106
80
107 - 116
90
(i)
Class-Interval
37 - 46
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
Frequency
10
5
15
13
13
15
9
10
(ii)
Class-Interval
37 - 46
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
Frequency
10
5
13
15
13
15
9
10
(iii)
Class-Interval
37 - 46
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
Frequency
10
10
15
13
13
15
9
5
(iv)
Class-Interval
37 - 46
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
Frequency
10
5
15
13
17
15
9
10
(v)
Class-Interval
37 - 46
47 - 56
57 - 66
67 - 76
77 - 86
87 - 96
97 - 106
107 - 116
Frequency
10
5
12
13
13
15
9
10
Question
3
3.
Wages of 30 labourers are given below. Find the median.
Wage (in rupees)
340
342
347
385
414
423
441
449
450
478
498
No. of labourers
1
2
7
1
1
3
1
3
2
5
4
(i)
₹
431.00
(ii)
₹
430.00
(iii)
₹
432.00
(iv)
₹
434.00
(v)
₹
433.00
Question
4
4.
The production yield in kg per hectare of wheat of 53 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 75
less than 85
less than 95
less than 105
less than 115
less than 125
less than 135
Number of farms
7
13
23
33
39
47
53
(i)
104.43
(ii)
102.43
(iii)
99.43
(iv)
94.43
(v)
96.43
Question
5
5.
If the sum of the following frequency distribution is
48
,
find the value of 'x'.
Class-Interval
Frequency
10 - 20
5
21 - 31
6
32 - 42
8
43 - 53
4
54 - 64
x
65 - 75
6
76 - 86
10
(i)
8
(ii)
6
(iii)
10
(iv)
9
(v)
12
Question
6
6.
Ages of 78 students (in years) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
5
11
16
7
20
5
10
(ii)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
5
16
11
11
20
5
10
(iii)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
5
11
14
11
20
5
10
(iv)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
5
10
16
11
20
5
11
(v)
Age (in years)
12 - 17
18 - 23
24 - 29
30 - 35
36 - 41
42 - 47
48 - 53
No. of students
5
11
16
11
20
5
10
Question
7
7.
Heights of 118 plants (in cm) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Height (in cm)
65 - 71
71 - 77
77 - 83
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
No. of plants
15
10
16
16
13
18
10
20
(ii)
Height (in cm)
65 - 71
71 - 77
77 - 83
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
No. of plants
15
20
16
16
13
18
10
10
(iii)
Height (in cm)
65 - 71
71 - 77
77 - 83
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
No. of plants
15
10
16
16
9
18
10
20
(iv)
Height (in cm)
65 - 71
71 - 77
77 - 83
83 - 89
89 - 95
95 - 101
101 - 107
107 - 113
No. of plants
15
10
20
16
13
18
10
20
Question
8
8.
Scores of 75 students are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Score
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
No. of students
18
11
5
7
20
10
(ii)
Score
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
No. of students
18
11
9
12
20
10
(iii)
Score
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
No. of students
18
11
9
7
20
10
(iv)
Score
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
No. of students
18
9
11
7
20
10
(v)
Score
79 - 88
88 - 97
97 - 106
106 - 115
115 - 124
124 - 133
No. of students
18
10
9
7
20
11
Question
9
9.
The daily wages of
82
workers in a factory are given below.
Find the
mean wage.
Wage (in rupees)
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of workers
12
16
28
9
17
(i)
₹
57.37
(ii)
₹
55.37
(iii)
₹
55.41
(iv)
₹
55.39
(v)
₹
56.37
Question
10
10.
Heights of 15 plants are given below. Find the mean.
Height (in cm)
51
60
62
72
75
82
100
No. of plants
1
1
1
2
2
4
4
(i)
242
3
cm
(ii)
80
cm
(iii)
239
3
cm
(iv)
241
3
cm
(v)
245
3
cm
Question
11
11.
Rainfall of 10 days are given below. Find the median.
Rainfall (in mm)
7
9
11
12
13
14
No. of days
2
2
1
1
2
2
(i)
12
mm
(ii)
23
2
mm
(iii)
27
2
mm
(iv)
25
2
mm
Question
12
12.
The marks obtained by 50 students of a class in an examination is given below. Identify the frequency distribution table for the given less than ogive.
(i)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
20
28
33
43
50
(ii)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
17
25
35
45
55
(iii)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
17
29
34
44
54
(iv)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
17
25
30
40
50
(v)
Marks
less than 15
less than 20
less than 25
less than 30
less than 35
less than 40
No. of students
10
18
25
30
40
50
Question
13
13.
Weights of 83 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of students
20
8
5
18
16
8
8
(ii)
Weight (in kg)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of students
20
8
8
18
16
8
5
(iii)
Weight (in kg)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of students
20
5
11
18
16
8
8
(iv)
Weight (in kg)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of students
20
5
8
22
16
8
8
(v)
Weight (in kg)
54 - 62
62 - 70
70 - 78
78 - 86
86 - 94
94 - 102
102 - 110
No. of students
20
5
8
18
16
8
8
Question
14
14.
Weights of 30 students are given below. Find the mean.
Weight (in kg)
44
47
49
50
51
52
57
58
No. of students
9
2
4
3
2
3
4
3
(i)
50
kg
(ii)
749
15
kg
(iii)
748
15
kg
(iv)
763
15
kg
(v)
778
15
kg
Question
15
15.
Ages of 10 students are given below. Find the median.
Age (in years)
10
11
12
13
14
No. of students
2
3
1
1
3
(i)
12
years
(ii)
23
2
years
(iii)
25
2
years
(iv)
27
2
years
Question
16
16.
Temperatures of 110 days (in °C) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Temperature (in degree)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
No. of days
14
19
17
11
17
14
18
(ii)
Temperature (in degree)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
No. of days
14
18
17
11
17
14
19
(iii)
Temperature (in degree)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
No. of days
14
17
18
11
17
14
19
(iv)
Temperature (in degree)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
No. of days
14
18
17
14
17
14
19
(v)
Temperature (in degree)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
86 - 96
97 - 107
No. of days
14
18
14
11
17
14
19
Question
17
17.
Ages of 65 students (in years) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
17
11
8
11
(ii)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
16
11
8
17
(iii)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
11
7
8
17
(iv)
Age (in years)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
No. of students
18
11
11
8
17
Question
18
18.
The following table shows the weights of
97
persons in a group.
Find the
mean weight.
Weight (in kg)
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
100 - 110
No. of persons
7
20
7
9
15
20
19
(i)
7715
97
kg
(ii)
7909
97
kg
(iii)
7717
97
kg
(iv)
7716
97
kg
(v)
7812
97
kg
Question
19
19.
If the sum of the following frequency distribution is
26
,
find the value of 'x'.
Value
Frequency
5
2
6
3
7
3
8
x
9
3
10
4
11
5
(i)
5
(ii)
9
(iii)
4
(iv)
7
(v)
6
Question
20
20.
The daily wages of
139
workers in a factory are given below.
Find the
mode wage.
Wage (in rupees)
20 - 25
25 - 30
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
No. of workers
25
26
25
9
19
6
29
(i)
₹
52.23
(ii)
₹
52.21
(iii)
₹
52.25
(iv)
₹
54.21
(v)
₹
53.21
Question
21
21.
Daily wages of 74 labourers (in ₹) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Daily wage (in Rs)
244 - 250
250 - 256
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
No. of labourers
7
7
17
16
5
13
5
(ii)
Daily wage (in Rs)
244 - 250
250 - 256
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
No. of labourers
7
7
12
20
5
13
5
(iii)
Daily wage (in Rs)
244 - 250
250 - 256
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
No. of labourers
7
17
7
20
5
13
5
(iv)
Daily wage (in Rs)
244 - 250
250 - 256
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
No. of labourers
7
5
17
20
5
13
7
(v)
Daily wage (in Rs)
244 - 250
250 - 256
256 - 262
262 - 268
268 - 274
274 - 280
280 - 286
No. of labourers
7
7
17
20
5
13
5
Question
22
22.
Identify the class interval table for the given greater than cumulative frequency table
Class-Interval
Cumulative Frequency
30 - 37
64
37 - 44
59
44 - 51
54
51 - 58
40
58 - 65
35
65 - 72
22
72 - 79
8
(i)
Class-Interval
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
Frequency
5
5
14
2
13
14
8
(ii)
Class-Interval
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
Frequency
5
8
14
5
13
14
5
(iii)
Class-Interval
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
Frequency
5
5
19
5
13
14
8
(iv)
Class-Interval
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
Frequency
5
14
5
5
13
14
8
(v)
Class-Interval
30 - 37
37 - 44
44 - 51
51 - 58
58 - 65
65 - 72
72 - 79
Frequency
5
5
14
5
13
14
8
Question
23
23.
Scores of 15 students are given below. Find the mean.
Score
72
73
79
80
83
84
85
88
No. of students
2
2
1
1
2
3
2
2
(i)
1214
15
(ii)
1228
15
(iii)
1243
15
(iv)
1213
15
(v)
81
Question
24
24.
Ages of 11 students are given below. Find the mode.
Age (in years)
10
12
14
15
No. of students
1
4
3
3
(i)
11
years
(ii)
14
years
(iii)
12
years
(iv)
10
years
(v)
13
years
Question
25
25.
Ages of 75 students (in years) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
10
7
9
17
18
16
(ii)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
10
16
9
15
18
7
(iii)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
10
7
9
15
18
16
(iv)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
10
9
7
15
18
16
(v)
Age (in years)
15 - 22
22 - 29
29 - 36
36 - 43
43 - 50
50 - 57
No. of students
10
7
4
15
18
16
Assignment Key
1) (v)
2) (i)
3) (iii)
4) (iii)
5) (iv)
6) (v)
7) (i)
8) (iii)
9) (ii)
10) (iii)
11) (ii)
12) (iv)
13) (v)
14) (iii)
15) (ii)
16) (ii)
17) (iv)
18) (i)
19) (v)
20) (ii)
21) (v)
22) (v)
23) (iv)
24) (iii)
25) (iii)
