EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Given class interval
29
-
37
in exclusive form, its
lower limit is
(i)
28
(ii)
30
(iii)
26
(iv)
29
(v)
31
Question
2
2.
Given the bar graph, find the minimum frequency
(i)
40
(ii)
25
(iii)
20
(iv)
30
(v)
35
Question
3
3.
The marks obtained by
17
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in exclusive form
taking class size
5
.
49
79
73
40
74
70
59
65
69
49
66
65
53
48
80
76
66
(i)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
3
1
1
0
5
3
2
1
(ii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
3
1
4
0
5
3
2
1
(iii)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
3
1
1
4
5
3
2
1
(iv)
Marks
40 - 45
45 - 50
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
No. of Students
1
1
1
1
0
5
3
2
3
Question
4
4.
The scores obtained by 11 students in a test are given below. Find the mode.
3
15
20
19
21
2
8
19
19
4
9
(i)
21
(ii)
2
(iii)
19
(iv)
12
(v)
0
Question
5
5.
Which of the following tables represent the given histogram with varying base widths
(i)
Score
10 - 20
20 - 30
30 - 40
40 - 80
80 - 90
90 - 130
No. of students
6
9
5
9
8
10
(ii)
Score
10 - 20
20 - 30
30 - 40
40 - 80
80 - 90
90 - 130
No. of students
6
9
5
2
8
3
(iii)
Score
10 - 20
20 - 30
30 - 40
40 - 80
80 - 90
90 - 130
No. of students
6
9
8
7
8
10
(iv)
Score
10 - 20
20 - 30
30 - 40
40 - 80
80 - 90
90 - 130
No. of students
6
9
5
7
8
3
(v)
Score
10 - 20
20 - 30
30 - 40
40 - 80
80 - 90
90 - 130
No. of students
6
9
5
7
8
10
Question
6
6.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
22 - 30
31 - 39
40 - 48
49 - 57
58 - 66
Frequency
18
12
40
30
50
(ii)
Class-Interval
22 - 30
31 - 39
40 - 48
49 - 57
58 - 66
Frequency
18
55
40
30
12
(iii)
Class-Interval
22 - 30
31 - 39
40 - 48
49 - 57
58 - 66
Frequency
18
40
50
30
12
(iv)
Class-Interval
22 - 30
31 - 39
40 - 48
49 - 57
58 - 66
Frequency
18
50
40
30
12
(v)
Class-Interval
22 - 30
31 - 39
40 - 48
49 - 57
58 - 66
Frequency
18
50
37
30
12
Question
7
7.
The class boundaries of 21 - 28 which is in inclusive form are
(i)
21
-
28
(ii)
20
-
28.5
(iii)
20.5
-
28.5
(iv)
20
-
29
(v)
20.5
-
29
Question
8
8.
Temperatures of 195 days (in °C) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Temperature (in degree)
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
76 - 82
83 - 89
No. of days
37
12
39
18
14
36
19
20
(ii)
Temperature (in degree)
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
76 - 82
83 - 89
No. of days
37
20
18
39
14
36
19
12
(iii)
Temperature (in degree)
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
76 - 82
83 - 89
No. of days
37
12
18
39
10
36
19
20
(iv)
Temperature (in degree)
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
76 - 82
83 - 89
No. of days
37
12
18
39
14
36
19
20
(v)
Temperature (in degree)
34 - 40
41 - 47
48 - 54
55 - 61
62 - 68
69 - 75
76 - 82
83 - 89
No. of days
37
12
14
39
14
36
19
20
Question
9
9.
Weights of 31 students are given below. Find the mode.
Weight (in kg)
43
44
46
48
49
51
54
55
58
60
No. of students
2
2
3
3
4
2
8
3
3
1
(i)
56
kg
(ii)
52
kg
(iii)
55
kg
(iv)
53
kg
(v)
54
kg
Question
10
10.
Given the sample data, prepare the class interval table in
exclusive
form with
2
as min value and a class size of
8
.
48
11
2
43
20
24
10
17
13
40
40
42
4
6
18
20
7
(i)
Class-Interval
2 - 10
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
Frequency
4
3
4
0
2
4
(ii)
Class-Interval
2 - 9
10 - 17
18 - 25
26 - 33
34 - 41
42 - 49
Frequency
4
4
4
0
2
3
(iii)
Class-Interval
2 - 10
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
Frequency
4
4
9
0
2
3
(iv)
Class-Interval
2 - 10
10 - 18
18 - 26
26 - 34
34 - 42
42 - 50
Frequency
4
4
4
0
2
3
Question
11
11.
The frequency polygon is one drawn using
(i)
lower boundaries of classes and greater than cumulative frequencies
(ii)
upper boundaries of classes and cumulative frequencies
(iii)
mid point of classes and frequencies
(iv)
end points of classes and frequencies
Question
12
12.
Daily wages of 188 labourers (in ₹) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Daily wage(in Rs)
295 - 305
305 - 315
315 - 325
325 - 335
335 - 345
345 - 355
355 - 365
365 - 375
No. of labourers
27
39
15
19
16
24
24
24
(ii)
Daily wage(in Rs)
295 - 305
305 - 315
315 - 325
325 - 335
335 - 345
345 - 355
355 - 365
365 - 375
No. of labourers
27
39
23
15
16
24
24
24
(iii)
Daily wage(in Rs)
295 - 305
305 - 315
315 - 325
325 - 335
335 - 345
345 - 355
355 - 365
365 - 375
No. of labourers
27
39
19
15
16
24
24
24
(iv)
Daily wage(in Rs)
295 - 305
305 - 315
315 - 325
325 - 335
335 - 345
345 - 355
355 - 365
365 - 375
No. of labourers
27
39
19
15
14
24
24
24
(v)
Daily wage(in Rs)
295 - 305
305 - 315
315 - 325
325 - 335
335 - 345
345 - 355
355 - 365
365 - 375
No. of labourers
27
24
19
15
16
24
24
39
Question
13
13.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
24
43
41
37
22
11
46
(ii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
24
41
43
37
22
11
46
(iii)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
24
43
41
33
22
11
46
(iv)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
24
43
36
37
22
11
46
(v)
Class-Interval
19 - 26
26 - 33
33 - 40
40 - 47
47 - 54
54 - 61
61 - 68
Frequency
24
46
41
37
22
11
43
Question
14
14.
Which of the following tables represent the given histogram with varying base widths
(i)
Height (in cm)
50 - 60
60 - 90
90 - 120
120 - 130
130 - 160
160 - 170
No. of plants
15
6
10
9
5
13
(ii)
Height (in cm)
50 - 60
60 - 90
90 - 120
120 - 130
130 - 160
160 - 170
No. of plants
15
6
10
13
5
13
(iii)
Height (in cm)
50 - 60
60 - 90
90 - 120
120 - 130
130 - 160
160 - 170
No. of plants
15
2
3
9
2
13
(iv)
Height (in cm)
50 - 60
60 - 90
90 - 120
120 - 130
130 - 160
160 - 170
No. of plants
15
6
15
9
5
13
(v)
Height (in cm)
50 - 60
60 - 90
90 - 120
120 - 130
130 - 160
160 - 170
No. of plants
15
2
3
11
2
13
Question
15
15.
Weights of 172 students (in kg) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Weight (in kg)
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of students
42
17
37
22
18
34
(ii)
Weight (in kg)
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of students
42
34
39
22
18
17
(iii)
Weight (in kg)
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of students
42
17
39
18
18
34
(iv)
Weight (in kg)
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of students
42
39
17
22
18
34
(v)
Weight (in kg)
42 - 49
50 - 57
58 - 65
66 - 73
74 - 81
82 - 89
No. of students
42
17
39
22
18
34
Question
16
16.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
20
students, taking class size
2
.
21
17
16
22
16
20
17
18
25
17
22
13
10
10
25
23
20
19
15
10
(i)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
3
1
5
1
2
3
3
2
(ii)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
3
1
1
5
2
3
3
2
(iii)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
3
2
1
5
2
3
3
1
(iv)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
3
1
6
5
2
3
3
2
(v)
Age (in years)
10 - 12
12 - 14
14 - 16
16 - 18
18 - 20
20 - 22
22 - 24
24 - 26
No. of Students
3
1
1
5
5
3
3
2
Question
17
17.
The scores obtained by 7 students in a test are given below. Find the maximum score.
11
2
5
1
17
4
13
(i)
5
(ii)
7
4
7
(iii)
1
(iv)
16
(v)
17
Question
18
18.
Heights of 150 plants (in cm) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
39
35
18
45
17
(ii)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
39
35
14
45
17
(iii)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
39
17
14
45
35
(iv)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
39
30
14
45
17
(v)
Height (in cm)
70 - 77
78 - 85
86 - 93
94 - 101
102 - 109
No. of plants
39
14
35
45
17
Question
19
19.
The class marks of a frequency distribution are
17 , 24 , 31 , 38
.
Find the class size and class intervals
in inclusive form
(i)
7
;
14
-
20
,
21
-
27
,
28
-
34
,
35
-
41
(ii)
7
;
13
-
20
,
20
-
27
,
27
-
34
,
34
-
41
(iii)
6
;
14
-
20
,
20
-
26
,
26
-
32
,
32
-
38
(iv)
7
;
13
-
19
,
20
-
26
,
27
-
33
,
34
-
40
(v)
7
;
15
-
21
,
22
-
28
,
29
-
35
,
36
-
42
Question
20
20.
Given the number of doctors working in government hospitals in a city in various age groups. Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of doctors
47
41
39
33
19
(ii)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of doctors
47
41
41
33
19
(iii)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of doctors
47
19
41
33
39
(iv)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of doctors
47
39
44
33
19
(v)
Age (in years)
31 - 41
42 - 52
53 - 63
64 - 74
75 - 85
No. of doctors
47
39
41
33
19
Question
21
21.
If the sum of the following frequency distribution is
24
,
find the value of 'x'.
Class-Interval
Frequency
10 - 16
8
17 - 23
1
24 - 30
8
31 - 37
x
38 - 44
4
(i)
0
(ii)
5
(iii)
2
(iv)
3
(v)
4
Question
22
22.
The weights (in gm) of
20
fruits are as follows.
Form the grouped frequency table
in inclusive form
by taking class size
40
.
307
371
291
275
231
377
205
367
289
258
284
290
218
381
316
336
364
319
374
281
(i)
Weight (in gm)
205 - 244
245 - 284
285 - 324
325 - 364
365 - 404
No. of Fruits
3
4
3
2
5
(ii)
Weight (in gm)
205 - 244
245 - 284
285 - 324
325 - 364
365 - 404
No. of Fruits
3
4
6
2
5
(iii)
Weight (in gm)
205 - 244
245 - 284
285 - 324
325 - 364
365 - 404
No. of Fruits
3
6
4
2
5
(iv)
Weight (in gm)
205 - 244
245 - 284
285 - 324
325 - 364
365 - 404
No. of Fruits
3
8
6
2
5
(v)
Weight (in gm)
205 - 244
245 - 284
285 - 324
325 - 364
365 - 404
No. of Fruits
3
5
6
2
4
Question
23
23.
Rainfall of 156 days (in mm) are given below.
Identify the class interval table for the given histogram.
(i)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of days
8
35
28
15
24
31
11
7
(ii)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of days
8
7
25
15
24
31
11
35
(iii)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of days
8
35
15
25
24
31
11
7
(iv)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of days
8
35
25
15
24
31
11
7
(v)
Rainfall (in mm)
7 - 16
16 - 25
25 - 34
34 - 43
43 - 52
52 - 61
61 - 70
70 - 79
No. of days
8
35
25
15
20
31
11
7
Question
24
24.
Which of the following tables represent the given histogram with varying base widths
(i)
Weight (in kg)
50 - 60
60 - 90
90 - 120
120 - 150
150 - 190
190 - 200
No. of students
13
5
3
4
2
11
(ii)
Weight (in kg)
50 - 60
60 - 90
90 - 120
120 - 150
150 - 190
190 - 200
No. of students
13
14
5
11
9
11
(iii)
Weight (in kg)
50 - 60
60 - 90
90 - 120
120 - 150
150 - 190
190 - 200
No. of students
13
14
10
16
9
11
(iv)
Weight (in kg)
50 - 60
60 - 90
90 - 120
120 - 150
150 - 190
190 - 200
No. of students
13
14
10
11
9
11
(v)
Weight (in kg)
50 - 60
60 - 90
90 - 120
120 - 150
150 - 190
190 - 200
No. of students
13
5
3
8
2
11
Question
25
25.
Convert the continuous form of the class interval 49.5 - 58.5 to discontinuous form
(i)
49.5
-
58
(ii)
49.5
-
58.5
(iii)
50
-
58.5
(iv)
50.5
-
57.5
(v)
50
-
58
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (iii)
5) (v)
6) (iv)
7) (iii)
8) (iv)
9) (v)
10) (iv)
11) (iii)
12) (iii)
13) (i)
14) (i)
15) (v)
16) (ii)
17) (v)
18) (ii)
19) (i)
20) (v)
21) (iv)
22) (ii)
23) (iv)
24) (iv)
25) (v)
