EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The following table shows the weights of
77
persons in a group.
Find the
median weight.
Weight (in kg)
20 - 25
26 - 31
32 - 37
38 - 43
44 - 49
50 - 55
56 - 61
No. of persons
15
6
13
15
10
10
8
(i)
403
10
kg
(ii)
413
10
kg
(iii)
79
2
kg
(iv)
197
5
kg
(v)
393
10
kg
Question
2
2.
Identify the frequency distribution table for the given ogive.
(i)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
11
10
13
2
11
13
(ii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
19
7
8
13
7
6
(iii)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
20
6
12
18
4
13
(iv)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
8
8
18
11
11
7
(v)
Class-Interval
20 - 26
26 - 32
32 - 38
38 - 44
44 - 50
50 - 56
Frequency
2
4
11
12
10
8
Question
3
3.
Temperatures of 92 days (in °C) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
7
15
10
7
16
11
13
11
(ii)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
7
15
12
7
16
11
13
11
(iii)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
7
15
7
12
16
11
13
11
(iv)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
7
11
12
7
16
11
13
15
(v)
Temperature (in degree)
29 - 36
37 - 44
45 - 52
53 - 60
61 - 68
69 - 76
77 - 84
85 - 92
No. of days
7
15
12
7
12
11
13
11
Question
4
4.
Less than cumulative curves are drawn using
(i)
lower boundaries of classes and less than cumulative frequencies
(ii)
upper boundaries of classes and less than cumulative frequencies
(iii)
lower boundaries of classes and greater than cumulative frequencies
(iv)
mid values of classes and less than cumulative frequencies
Question
5
5.
Wages of 21 labourers are given below. Find the mode.
Wage (in rupees)
324
347
374
386
422
446
457
462
468
No. of labourers
2
2
2
2
1
3
6
1
2
(i)
₹
459.00
(ii)
₹
456.00
(iii)
₹
457.00
(iv)
₹
458.00
(v)
₹
455.00
Question
6
6.
Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
Age (in years)
10 - 15
16 - 21
22 - 27
28 - 33
No. of Patients
88
79
58
52
(i)
Age (in years)
Cumulative Frequency
10 - 15
88
16 - 21
170
22 - 27
228
28 - 33
280
(ii)
Age (in years)
Cumulative Frequency
10 - 15
88
16 - 21
167
22 - 27
225
28 - 33
277
(iii)
Age (in years)
Cumulative Frequency
10 - 15
88
16 - 21
167
22 - 27
223
28 - 33
275
(iv)
Age (in years)
Cumulative Frequency
10 - 15
52
16 - 21
131
22 - 27
189
28 - 33
277
(v)
Age (in years)
Cumulative Frequency
10 - 15
88
16 - 21
146
22 - 27
225
28 - 33
277
Question
7
7.
Heights of 25 plants are given below. Find the mean.
Height (in cm)
54
55
68
82
89
90
98
99
No. of plants
1
3
5
2
4
3
3
4
(i)
2064
25
cm
(ii)
2041
25
cm
(iii)
2089
25
cm
(iv)
408
5
cm
(v)
2039
25
cm
Question
8
8.
Given class interval table, find the sum of frequencies.
Class-Interval
26 - 32
33 - 39
40 - 46
47 - 53
54 - 60
61 - 67
68 - 74
75 - 81
Frequency
11
20
23
27
14
25
14
26
(i)
163
(ii)
159
(iii)
161
(iv)
160
(v)
158
Question
9
9.
Weights of 89 students (in kg) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Weight (in kg)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of students
10
15
6
12
16
17
13
(ii)
Weight (in kg)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of students
10
6
15
12
16
17
13
(iii)
Weight (in kg)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of students
10
6
13
12
16
17
13
(iv)
Weight (in kg)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of students
10
6
15
17
16
17
13
(v)
Weight (in kg)
56 - 62
63 - 69
70 - 76
77 - 83
84 - 90
91 - 97
98 - 104
No. of students
10
13
15
12
16
17
6
Question
10
10.
The production yield in kg per hectare of wheat of 36 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
Production yield (in kg/ha)
less than 59
less than 68
less than 77
less than 86
less than 95
Number of farms
9
16
24
31
36
(i)
65.50
(ii)
73.50
(iii)
75.50
(iv)
67.50
(v)
70.50
Question
11
11.
Heights of 56 students (in cm) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Height (in cm)
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
11
7
23
5
7
8
(ii)
Height (in cm)
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
11
7
18
5
7
8
(iii)
Height (in cm)
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
11
18
7
5
7
8
(iv)
Height (in cm)
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
11
7
18
10
7
8
(v)
Height (in cm)
127 - 132
132 - 137
137 - 142
142 - 147
147 - 152
152 - 157
No. of students
11
8
18
5
7
7
Question
12
12.
Temperatures of 97 days (in °C) are given below.
Identify the frequency distribution table for the given '
median
' ogive.
(i)
Temperature (in degree)
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
No. of days
17
7
12
15
19
7
12
8
(ii)
Temperature (in degree)
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
No. of days
17
8
15
12
19
7
12
7
(iii)
Temperature (in degree)
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
No. of days
17
7
15
12
19
7
12
8
(iv)
Temperature (in degree)
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
No. of days
17
7
15
12
22
7
12
8
(v)
Temperature (in degree)
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
103 - 112
No. of days
17
7
11
12
19
7
12
8
Question
13
13.
Temperatures of 16 days are given below. Find the mode.
Temperature (in degree C)
27
28
29
30
32
33
34
35
No. of days
2
1
3
1
5
1
1
2
(i)
30
°C
(ii)
32
°C
(iii)
34
°C
(iv)
33
°C
(v)
31
°C
Question
14
14.
Rainfall of 30 days are given below. Find the median.
Rainfall (in mm)
6
7
8
9
10
11
13
14
15
No. of days
2
5
2
3
3
3
4
3
5
(i)
23
2
mm
(ii)
21
2
mm
(iii)
25
2
mm
(iv)
11
mm
Question
15
15.
The class size used in the below table is
Class-Interval
17 - 27
28 - 38
39 - 49
50 - 60
61 - 71
72 - 82
Frequency
2
10
28
28
1
17
(i)
9
(ii)
12
(iii)
11
(iv)
14
(v)
10
Question
16
16.
Identify the cumulative frequency of the given grouped data.
class interval
27 - 35
35 - 43
43 - 51
51 - 59
59 - 67
67 - 75
frequency
13
16
5
18
23
8
(i)
class interval
Cumulative Frequency
27 - 35
13
35 - 43
29
43 - 51
34
51 - 59
57
59 - 67
80
67 - 75
88
(ii)
class interval
Cumulative Frequency
27 - 35
13
35 - 43
29
43 - 51
34
51 - 59
52
59 - 67
75
67 - 75
83
(iii)
class interval
Cumulative Frequency
27 - 35
13
35 - 43
18
43 - 51
34
51 - 59
52
59 - 67
75
67 - 75
83
(iv)
class interval
Cumulative Frequency
27 - 35
13
35 - 43
21
43 - 51
26
51 - 59
44
59 - 67
67
67 - 75
83
(v)
class interval
Cumulative Frequency
27 - 35
13
35 - 43
29
43 - 51
38
51 - 59
56
59 - 67
79
67 - 75
87
Question
17
17.
Scores of 11 students are given below. Find the mode.
Score
73
75
79
86
87
89
No. of students
1
1
2
1
4
2
(i)
87
(ii)
86
(iii)
85
(iv)
88
(v)
89
Question
18
18.
The class size used in the below table is
Class-Interval
13 - 18
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
Frequency
3
16
19
9
3
5
9
28
(i)
2
(ii)
4
(iii)
8
(iv)
5
(v)
6
Question
19
19.
The following table shows the weights of
84
persons in a group.
Find the
mean weight.
Weight (in kg)
50 - 55
56 - 61
62 - 67
68 - 73
74 - 79
80 - 85
86 - 91
No. of persons
15
12
10
7
11
20
9
(i)
500
7
kg
(ii)
495
7
kg
(iii)
507
7
kg
(iv)
494
7
kg
(v)
493
7
kg
Question
20
20.
Ages of 64 students (in years) are given below.
Identify the frequency distribution table for the given '
more than
' ogive.
(i)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
6
7
17
7
10
17
(ii)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
6
17
7
7
10
17
(iii)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
6
17
7
11
10
17
(iv)
Age (in years)
12 - 18
18 - 24
24 - 30
30 - 36
36 - 42
42 - 48
No. of students
6
17
9
7
10
17
Question
21
21.
A frequency distribution table is given below.
Find the
median .
Class-Interval
20 - 28
29 - 37
38 - 46
47 - 55
56 - 64
65 - 73
Frequency
21
39
15
37
41
5
(i)
95
2
(ii)
3513
74
(iii)
3661
74
(iv)
3587
74
(v)
1757
37
Question
22
22.
The mid value of the class with frequency x is
Class-Interval
Frequency
20 - 25
30
25 - 30
30
30 - 35
x
35 - 40
20
40 - 45
28
(i)
63
2
(ii)
65
2
(iii)
33
(iv)
67
2
(v)
129
4
Question
23
23.
Temperatures of 72 days (in °C) are given below.
Identify the frequency distribution table for the given '
less than
' ogive.
(i)
Temperature (in degree)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of days
7
12
16
17
20
(ii)
Temperature (in degree)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of days
7
20
13
17
12
(iii)
Temperature (in degree)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of days
7
20
16
17
12
(iv)
Temperature (in degree)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of days
7
16
16
17
12
(v)
Temperature (in degree)
29 - 35
35 - 41
41 - 47
47 - 53
53 - 59
No. of days
7
16
20
17
12
Question
24
24.
Emperical relation between Mean, Median and Mode is
(i)
Mode = 3Median - 2Mean
(ii)
Mode = 2Median - 3Mean
(iii)
Mode = 3Median - 3Mean
(iv)
Mode = 3Median + 2Mean
Question
25
25.
Which of the following class intervals are in inclusive form?
a)
24.5 - 33.5 , 33.5 - 42.5 , 42.5 - 51.5...
b)
25 - 33 , 34 - 42 , 43 - 51,...
c)
25 - 33 , 33 - 41 , 41 - 49,...
d)
52 - 60 , 61 - 69 , 70 - 78,...
e)
49 - 57 , 57 - 65 , 65 - 73...
(i)
{c,d,b}
(ii)
{e,a,b}
(iii)
{a,b}
(iv)
{c,d}
(v)
{b,d}
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (ii)
5) (iii)
6) (ii)
7) (v)
8) (iv)
9) (ii)
10) (v)
11) (ii)
12) (iii)
13) (ii)
14) (ii)
15) (iii)
16) (ii)
17) (i)
18) (iv)
19) (v)
20) (ii)
21) (ii)
22) (ii)
23) (iii)
24) (i)
25) (v)
