EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
26 - 28
29 - 31
32 - 34
35 - 37
38 - 40
41 - 43
44 - 46
No. of students
9
11
5
9
25
22
6
(ii)
Weight (in kg)
26 - 28
29 - 31
32 - 34
35 - 37
38 - 40
41 - 43
44 - 46
No. of students
9
5
11
9
25
22
6
(iii)
Weight (in kg)
26 - 28
29 - 31
32 - 34
35 - 37
38 - 40
41 - 43
44 - 46
No. of students
9
5
13
9
25
22
6
(iv)
Weight (in kg)
26 - 28
29 - 31
32 - 34
35 - 37
38 - 40
41 - 43
44 - 46
No. of students
9
5
11
12
25
22
6
(v)
Weight (in kg)
26 - 28
29 - 31
32 - 34
35 - 37
38 - 40
41 - 43
44 - 46
No. of students
9
6
11
9
25
22
5
Question
2
2.
Identify the class interval table for the given histogram.
(i)
Class-Interval
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
164 - 169
Frequency
76
117
115
23
36
89
34
(ii)
Class-Interval
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
164 - 169
Frequency
76
34
110
23
36
89
117
(iii)
Class-Interval
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
164 - 169
Frequency
76
117
110
18
36
89
34
(iv)
Class-Interval
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
164 - 169
Frequency
76
117
110
23
36
89
34
(v)
Class-Interval
128 - 133
134 - 139
140 - 145
146 - 151
152 - 157
158 - 163
164 - 169
Frequency
76
110
117
23
36
89
34
Question
3
3.
Heights of 169 plants (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of plants
26
8
46
14
17
30
28
(ii)
Height (in cm)
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of plants
26
46
28
14
17
30
8
(iii)
Height (in cm)
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of plants
26
28
46
14
17
30
8
(iv)
Height (in cm)
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of plants
26
28
46
11
17
30
8
(v)
Height (in cm)
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
104 - 112
112 - 120
No. of plants
26
28
49
14
17
30
8
Question
4
4.
Convert the discontinuous form of the class interval 35 - 43 to continuous form
(i)
35
-
43
(ii)
34.5
-
43.5
(iii)
34
-
43.5
(iv)
34.5
-
44
(v)
34
-
44
Question
5
5.
If the mean of
6
samples is
19
1
2
,
what is the new mean if
3
is subtracted from each number.
(i)
65
4
(ii)
33
2
(iii)
31
2
(iv)
17
(v)
35
2
Question
6
6.
The marks obtained by 15 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
34
8
50
46
41
31
8
13
24
3
37
35
31
11
33
(i)
57
(ii)
55
(iii)
51
(iv)
54
(v)
53
Question
7
7.
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
.
78
58
61
60
70
68
78
49
47
69
73
60
68
78
54
80
48
(i)
Marks
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
3
1
4
5
4
1
4
(ii)
Marks
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
3
4
1
0
4
1
4
(iii)
Marks
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
3
1
9
0
4
1
4
(iv)
Marks
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
3
1
4
0
4
1
4
(v)
Marks
47 - 52
52 - 57
57 - 62
62 - 67
67 - 72
72 - 77
77 - 82
No. of Students
3
4
4
0
4
1
1
Question
8
8.
Given the sample data, prepare the class interval table in
inclusive
form with
2
as min value and a class size of
10
.
31
21
50
37
30
35
48
24
7
20
5
19
15
2
10
(i)
Class-Interval
2 - 12
12 - 22
22 - 32
32 - 42
42 - 52
Frequency
4
4
3
2
2
(ii)
Class-Interval
2 - 11
12 - 21
22 - 31
32 - 41
42 - 51
Frequency
4
4
3
2
2
(iii)
Class-Interval
2 - 11
12 - 21
22 - 31
32 - 41
42 - 51
Frequency
4
2
3
2
4
(iv)
Class-Interval
2 - 11
12 - 21
22 - 31
32 - 41
42 - 51
Frequency
4
9
3
2
2
(v)
Class-Interval
2 - 11
12 - 21
22 - 31
32 - 41
42 - 51
Frequency
4
3
4
2
2
Question
9
9.
Identify the frequency distribution table for the given heights of 14 students in cm
156
154
172
169
170
176
156
178
153
166
180
160
164
161
(i)
Height (in cm)
153
154
156
160
161
164
166
169
172
176
178
180
No. of Students
1
1
2
2
1
1
1
1
1
1
1
1
(ii)
Height (in cm)
151
152
153
154
159
161
164
174
175
178
179
No. of Students
1
1
1
2
1
2
2
1
1
1
1
(iii)
Height (in cm)
153
154
156
160
161
164
166
169
170
172
176
178
180
No. of Students
1
1
2
1
1
1
1
1
1
1
1
1
1
(iv)
Height (in cm)
153
159
162
165
166
167
171
172
175
178
179
180
No. of Students
1
1
1
2
1
1
1
1
1
1
2
1
Question
10
10.
Given the sample data, prepare the class interval table in
exclusive
form with
1
as min value and a class size of
6
.
12
30
24
48
40
50
20
14
21
26
45
28
45
48
17
1
50
(i)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
Frequency
1
1
2
1
3
0
1
4
2
(ii)
Class-Interval
1 - 6
7 - 12
13 - 18
19 - 24
25 - 30
31 - 36
37 - 42
43 - 48
49 - 54
Frequency
1
1
2
3
3
0
1
4
2
(iii)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
Frequency
1
1
3
2
3
0
1
4
2
(iv)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
Frequency
1
1
2
3
3
0
1
4
2
(v)
Class-Interval
1 - 7
7 - 13
13 - 19
19 - 25
25 - 31
31 - 37
37 - 43
43 - 49
49 - 55
Frequency
1
2
2
3
3
0
1
4
1
Question
11
11.
Find the median of all the factors of 30.
(i)
9
2
(ii)
13
2
(iii)
11
2
(iv)
21
4
(v)
6
Question
12
12.
Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
Wages (in rupees)
200 - 220
221 - 241
242 - 262
263 - 283
284 - 304
305 - 325
Labourers
16
9
18
10
3
14
(i)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
221 - 241
25
242 - 262
43
263 - 283
53
284 - 304
56
305 - 325
70
(ii)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
221 - 241
25
242 - 262
45
263 - 283
55
284 - 304
58
305 - 325
72
(iii)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
221 - 241
25
242 - 262
43
263 - 283
48
284 - 304
51
305 - 325
65
(iv)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
221 - 241
30
242 - 262
48
263 - 283
58
284 - 304
61
305 - 325
70
(v)
Wages (in rupees)
Cumulative Frequency
200 - 220
16
221 - 241
34
242 - 262
43
263 - 283
53
284 - 304
56
305 - 325
70
Question
13
13.
2241 students of a school use different modes of travel to school. Identify the table for the given bar diagram.
(i)
Mode of travel
RTC Bus
School Van
Car
Moped
Bicycle
School Bus
Auto
By Foot
No. of students
225
243
135
315
423
270
261
369
(ii)
Mode of travel
RTC Bus
School Van
Car
Moped
Bicycle
School Bus
Auto
By Foot
No. of students
225
369
315
243
270
261
135
423
(iii)
Mode of travel
RTC Bus
School Van
Car
Moped
Bicycle
School Bus
Auto
By Foot
No. of students
243
369
135
423
270
225
261
315
(iv)
Mode of travel
RTC Bus
School Van
Car
Moped
Bicycle
School Bus
Auto
By Foot
No. of students
270
315
243
369
225
135
261
423
(v)
Mode of travel
RTC Bus
School Van
Car
Moped
Bicycle
School Bus
Auto
By Foot
No. of students
225
369
261
243
270
315
423
135
Question
14
14.
Temperatures of 10 days are given below. Find the mean.
Temperature (in degree C)
27
28
29
31
33
35
No. of days
1
1
2
1
2
3
(i)
67
2
°C
(ii)
63
2
°C
(iii)
32
°C
(iv)
65
2
°C
Question
15
15.
Scores of 12 students are given below. Find the mean score.
82
88
77
74
73
76
77
84
75
72
71
72
(i)
311
4
(ii)
307
4
(iii)
315
4
(iv)
309
4
(v)
77
Question
16
16.
Temperatures of 21 days are given below. Find the mode.
Temperature (in degree C)
25
26
27
28
31
32
35
No. of days
1
4
1
4
4
6
1
(i)
30
°C
(ii)
32
°C
(iii)
34
°C
(iv)
31
°C
(v)
33
°C
Question
17
17.
Ages of 31 students are given below. Find the mode.
Age (in years)
10
11
12
13
14
15
No. of students
4
3
5
8
6
5
(i)
12
years
(ii)
11
years
(iii)
14
years
(iv)
15
years
(v)
13
years
Question
18
18.
The scores obtained by 11 students in a test are given below. Find the maximum score.
7
4
7
9
11
10
20
10
11
14
20
(i)
20
(ii)
4
(iii)
7
(iv)
11
2
11
(v)
16
Question
19
19.
The mid value of the class with frequency x is
Class-Interval
Frequency
15 - 25
24
26 - 36
8
37 - 47
23
48 - 58
12
59 - 69
x
(i)
64
(ii)
67
(iii)
65
(iv)
63
(v)
62
Question
20
20.
The marks obtained by
17
students in an examination are given below.
Represent the data in the form of a frequency distribution table
in inclusive form
taking class size
6
.
54
61
41
55
69
70
45
41
65
47
56
49
53
70
44
54
55
(i)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of Students
4
4
6
1
2
(ii)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of Students
4
7
6
1
4
(iii)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of Students
4
2
6
1
4
(iv)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of Students
4
2
10
1
4
(v)
Marks
41 - 46
47 - 52
53 - 58
59 - 64
65 - 70
No. of Students
4
6
2
1
4
Question
21
21.
Identify the class interval table for the given histogram.
(i)
Class-Interval
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
Frequency
68
118
113
138
65
33
49
76
(ii)
Class-Interval
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
Frequency
68
118
138
116
65
33
49
76
(iii)
Class-Interval
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
Frequency
68
118
116
138
65
33
49
76
(iv)
Class-Interval
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
Frequency
68
118
116
138
68
33
49
76
(v)
Class-Interval
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
90 - 95
Frequency
68
76
116
138
65
33
49
118
Question
22
22.
If some random sample data is arranged in a frequency distribution table in
inclusive form
with
8
-
12
as the first class,
then the observation
27
falls in which class?
(i)
24
-
28
(ii)
23.5
-
26.5
(iii)
22.5
-
27.5
(iv)
22
-
26
(v)
23
-
27
Question
23
23.
Weights of 167 students (in kg) are given below.
Identify the class interval table for the given histogram.
(i)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of students
31
19
37
14
18
48
(ii)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of students
31
19
32
14
18
48
(iii)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of students
31
37
19
14
18
48
(iv)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of students
31
48
37
14
18
19
(v)
Weight (in kg)
40 - 46
46 - 52
52 - 58
58 - 64
64 - 70
70 - 76
No. of students
31
19
37
9
18
48
Question
24
24.
The weights (in gm) of
15
fruits are as follows.
Form the grouped frequency table
in exclusive form
by taking class size
40
.
217
387
370
226
378
358
371
265
256
366
258
234
368
240
362
(i)
Weight (in gm)
217 - 257
257 - 297
297 - 337
337 - 377
377 - 417
No. of Fruits
5
0
2
6
2
(ii)
Weight (in gm)
217 - 257
257 - 297
297 - 337
337 - 377
377 - 417
No. of Fruits
5
7
0
6
2
(iii)
Weight (in gm)
217 - 257
257 - 297
297 - 337
337 - 377
377 - 417
No. of Fruits
5
2
0
6
2
(iv)
Weight (in gm)
217 - 257
257 - 297
297 - 337
337 - 377
377 - 417
No. of Fruits
5
2
2
6
2
Question
25
25.
Rainfall of 31 days are given below. Find the mode.
Rainfall (in mm)
5
6
7
8
9
10
11
12
13
14
15
No. of days
1
3
8
4
2
2
4
4
1
1
1
(i)
7
mm
(ii)
8
mm
(iii)
9
mm
(iv)
6
mm
(v)
5
mm
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (ii)
5) (ii)
6) (iv)
7) (iv)
8) (ii)
9) (iii)
10) (iv)
11) (iii)
12) (i)
13) (iv)
14) (ii)
15) (ii)
16) (ii)
17) (v)
18) (i)
19) (i)
20) (iii)
21) (iii)
22) (v)
23) (i)
24) (iii)
25) (i)
