EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Find the median of the first 15 odd numbers.
(i)
14
(ii)
16
(iii)
13
(iv)
15
(v)
17
Question
2
2.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
(i)
Age (in years)
46 - 49
49 - 52
52 - 55
55 - 58
58 - 61
No. of Patients
23
46
39
29
29
(ii)
Age (in years)
46 - 49
49 - 52
52 - 55
55 - 58
58 - 61
No. of Patients
23
29
39
29
46
(iii)
Age (in years)
46 - 49
49 - 52
52 - 55
55 - 58
58 - 61
No. of Patients
23
39
46
29
29
(iv)
Age (in years)
46 - 49
49 - 52
52 - 55
55 - 58
58 - 61
No. of Patients
23
42
39
29
29
(v)
Age (in years)
46 - 49
49 - 52
52 - 55
55 - 58
58 - 61
No. of Patients
23
46
35
29
29
Question
3
3.
The following cumulative frequency table represents which of the following frequency distribution
Class-Interval
Cumulative Frequency
39 - 49
69
49 - 59
58
59 - 69
43
69 - 79
31
79 - 89
21
89 - 99
12
(i)
Class-Interval
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
Frequency
11
12
12
10
9
15
(ii)
Class-Interval
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
Frequency
11
15
12
10
9
12
(iii)
Class-Interval
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
Frequency
11
15
14
10
9
12
(iv)
Class-Interval
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
Frequency
11
15
12
8
9
12
(v)
Class-Interval
39 - 49
49 - 59
59 - 69
69 - 79
79 - 89
89 - 99
Frequency
11
12
15
10
9
12
Question
4
4.
Ages of 136 students (in years) are given below.
Identify the class interval table for the given histogram.
(i)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
No. of students
18
15
43
12
48
(ii)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
No. of students
18
43
15
12
48
(iii)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
No. of students
18
48
15
12
43
(iv)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
No. of students
18
43
19
12
48
(v)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
No. of students
18
48
15
12
48
Question
5
5.
The scores obtained by 11 students in a test are given below. Find the mode.
20
11
19
14
18
9
18
8
12
7
18
(i)
18
(ii)
20
(iii)
13
3
5
(iv)
13
(v)
7
Question
6
6.
Scores of 10 students are given below. Find the median.
Score
70
71
72
76
78
84
No. of students
2
2
2
1
1
2
(i)
72
(ii)
73
(iii)
70
(iv)
71
(v)
74
Question
7
7.
Scores of 12 students are given below. Find the mode score.
78
75
85
81
74
70
86
75
89
70
89
70
(i)
69
(ii)
70
(iii)
72
(iv)
71
(v)
68
Question
8
8.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
7
as the first class,
then the observation
24
falls in which class?
(i)
21
-
26
(ii)
22.5
-
26.5
(iii)
22
-
27
(iv)
23
-
28
(v)
21.5
-
27.5
Question
9
9.
Weights of 10 students (in kg) are given below. Find the mean weight.
47
45
53
47
48
54
40
40
57
42
(i)
473
10
kg
(ii)
95
2
kg
(iii)
483
10
kg
(iv)
493
10
kg
(v)
237
5
kg
Question
10
10.
The weights (in gm) of
16
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
40
.
202
317
227
263
311
316
217
326
370
271
282
206
238
245
257
204
(i)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
362 - 402
No. of Fruits
6
2
4
1
1
(ii)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
362 - 402
No. of Fruits
6
1
4
1
4
(iii)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
362 - 402
No. of Fruits
6
4
4
1
1
(iv)
Weight (in gm)
202 - 242
242 - 282
282 - 322
322 - 362
362 - 402
No. of Fruits
6
4
1
1
1
Question
11
11.
Scores of 10 students are given below. Find the median score.
76
88
77
82
83
86
87
77
80
79
(i)
82
(ii)
83
(iii)
81
(iv)
79
(v)
80
Question
12
12.
Scores of 248 students are given below.
Identify the class interval table for the given histogram.
(i)
Score
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
114 - 119
No. of students
41
40
48
32
43
46
(ii)
Score
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
114 - 119
No. of students
41
46
48
30
43
40
(iii)
Score
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
114 - 119
No. of students
41
48
40
30
43
46
(iv)
Score
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
114 - 119
No. of students
41
40
46
30
43
46
(v)
Score
84 - 89
90 - 95
96 - 101
102 - 107
108 - 113
114 - 119
No. of students
41
40
48
30
43
46
Question
13
13.
Rainfall of 30 days are given below. Find the mean.
Rainfall (in mm)
5
6
9
11
12
13
14
15
No. of days
2
5
4
4
2
8
3
2
(i)
11
mm
(ii)
38
3
mm
(iii)
35
3
mm
(iv)
32
3
mm
(v)
34
3
mm
Question
14
14.
The scores obtained by 6 students in a test are given below. Find the maximum score.
2
3
17
8
9
8
(i)
15
(ii)
8
(iii)
7
5
6
(iv)
2
(v)
17
Question
15
15.
Find the cumulative frequency of class
52
-
60
.
Class-Interval
12 - 20
20 - 28
28 - 36
36 - 44
44 - 52
52 - 60
60 - 68
68 - 76
Frequency
5
14
23
8
23
21
21
16
(i)
97
(ii)
92
(iii)
93
(iv)
95
(v)
94
Question
16
16.
Temperatures of 121 days (in °C) are given below.
Identify the class interval table for the given histogram.
(i)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
5
38
18
41
17
(ii)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
5
18
40
41
17
(iii)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
5
17
18
41
40
(iv)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
5
40
18
41
17
(v)
Temperature (in degree)
27 - 34
34 - 41
41 - 48
48 - 55
55 - 62
No. of days
5
40
13
41
17
Question
17
17.
Temperatures of 26 days are given below. Find the mode.
Temperature (in degree C)
25
26
27
28
29
31
32
35
No. of days
3
3
6
4
2
3
1
4
(i)
25
°C
(ii)
28
°C
(iii)
29
°C
(iv)
27
°C
(v)
26
°C
Question
18
18.
Construct a frequency distribution table from the following cumulative frequency distribution
Class-Interval
Cumulative Frequency
18 - 23
13
23 - 28
29
28 - 33
38
33 - 38
54
38 - 43
70
43 - 48
77
48 - 53
85
53 - 58
99
(i)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
13
16
9
16
16
7
8
14
(ii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
13
16
16
9
16
7
8
14
(iii)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
13
16
4
16
16
7
8
14
(iv)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
13
16
9
16
20
7
8
14
(v)
Class-Interval
18 - 23
23 - 28
28 - 33
33 - 38
38 - 43
43 - 48
48 - 53
53 - 58
Frequency
13
14
9
16
16
7
8
16
Question
19
19.
Weights of 120 students (in kg) are given below.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
14
11
10
39
10
9
21
6
(ii)
Weight (in kg)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
14
6
10
39
14
9
21
11
(iii)
Weight (in kg)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
14
6
13
39
10
9
21
11
(iv)
Weight (in kg)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
14
6
39
10
10
9
21
11
(v)
Weight (in kg)
49 - 56
57 - 64
65 - 72
73 - 80
81 - 88
89 - 96
97 - 104
105 - 112
No. of students
14
6
10
39
10
9
21
11
Question
20
20.
The upper limit of the class with frequency x is
Class-Interval
Frequency
13 - 20
30
20 - 27
28
27 - 34
x
34 - 41
8
41 - 48
11
(i)
37
(ii)
34
(iii)
33
(iv)
31
(v)
35
Question
21
21.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
19 - 26
17
26 - 33
24
33 - 40
15
40 - 47
19
47 - 54
x
(i)
46.5
-
54
(ii)
47.5
-
53.5
(iii)
47
-
54
(iv)
47
-
54.5
(v)
46.5
-
54.5
Question
22
22.
The following bar graph gives data regarding the favourite sport of 531 students of a school. Identify the table for the given bar diagram.
(i)
Sport
chess
wrestling
basketball
shotput
kabaddi
swimming
No. of students
54
18
162
72
45
180
(ii)
Sport
chess
wrestling
basketball
shotput
kabaddi
swimming
No. of students
18
54
72
45
162
180
(iii)
Sport
chess
wrestling
basketball
shotput
kabaddi
swimming
No. of students
45
54
180
72
18
162
(iv)
Sport
chess
wrestling
basketball
shotput
kabaddi
swimming
No. of students
162
180
18
45
54
72
(v)
Sport
chess
wrestling
basketball
shotput
kabaddi
swimming
No. of students
72
18
162
180
54
45
Question
23
23.
Convert the exclusive form of the class interval 43.5 - 48.5 to inclusive form
(i)
43.5
-
48.5
(ii)
43.5
-
48
(iii)
44
-
48
(iv)
44.5
-
47.5
(v)
44
-
48.5
Question
24
24.
Convert the inclusive form of the class interval 25 - 34 to exclusive form
(i)
24
-
35
(ii)
24.5
-
35
(iii)
24
-
34.5
(iv)
25
-
34
(v)
24.5
-
34.5
Question
25
25.
Ages of 186 students (in years) are given below.
Identify the class interval table for the given histogram.
(i)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
33
8
34
44
35
32
(ii)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
33
34
8
47
35
32
(iii)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
33
34
6
44
35
32
(iv)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
33
34
8
44
35
32
(v)
Age (in years)
18 - 27
27 - 36
36 - 45
45 - 54
54 - 63
63 - 72
No. of students
33
32
8
44
35
34
Assignment Key
1) (iv)
2) (i)
3) (ii)
4) (ii)
5) (i)
6) (i)
7) (ii)
8) (iii)
9) (i)
10) (iii)
11) (iii)
12) (v)
13) (iv)
14) (v)
15) (v)
16) (iv)
17) (iv)
18) (i)
19) (v)
20) (ii)
21) (iii)
22) (i)
23) (iii)
24) (v)
25) (iv)
