EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Students of a certain locality use different modes of travel to school as given below. Find the mode of travel that has 217 students.
(i)
Bicycle
(ii)
School Van
(iii)
Car
(iv)
RTC Bus
(v)
Scooter
Question
2
2.
Which of the following tables represent the given histogram with varying base widths
(i)
Rainfall (in mm)
12 - 42
42 - 52
52 - 82
82 - 112
112 - 132
No. of days
8
9
9
6
11
(ii)
Rainfall (in mm)
12 - 42
42 - 52
52 - 82
82 - 112
112 - 132
No. of days
3
9
7
2
6
(iii)
Rainfall (in mm)
12 - 42
42 - 52
52 - 82
82 - 112
112 - 132
No. of days
3
9
3
2
6
(iv)
Rainfall (in mm)
12 - 42
42 - 52
52 - 82
82 - 112
112 - 132
No. of days
8
9
14
6
11
(v)
Rainfall (in mm)
12 - 42
42 - 52
52 - 82
82 - 112
112 - 132
No. of days
8
13
9
6
11
Question
3
3.
Rainfall of 13 days (in mm) are given below. Find the median rainfall.
13
15
15
15
8
14
14
7
6
9
8
8
8
(i)
11
mm
(ii)
9
mm
(iii)
8
mm
(iv)
10
mm
(v)
7
mm
Question
4
4.
The marks obtained by 14 students in a test are given below. Find their median marks.
9
8
4
10
11
13
32
41
50
48
12
49
48
36
(i)
45
2
(ii)
89
4
(iii)
43
2
(iv)
47
2
(v)
23
Question
5
5.
Identify the class interval table for the given histogram.
(i)
Class-Interval
125 - 128
129 - 132
133 - 136
137 - 140
141 - 144
Frequency
135
88
76
101
69
(ii)
Class-Interval
125 - 128
129 - 132
133 - 136
137 - 140
141 - 144
Frequency
135
72
76
101
88
(iii)
Class-Interval
125 - 128
129 - 132
133 - 136
137 - 140
141 - 144
Frequency
135
76
69
101
88
(iv)
Class-Interval
125 - 128
129 - 132
133 - 136
137 - 140
141 - 144
Frequency
135
69
76
101
88
(v)
Class-Interval
125 - 128
129 - 132
133 - 136
137 - 140
141 - 144
Frequency
135
69
71
101
88
Question
6
6.
Given the mean of
12
samples as
10
1
2
,
what is the mean if a sample value is
decreased
by
10
?
(i)
47
5
(ii)
9
(iii)
11
(iv)
29
3
(v)
31
3
Question
7
7.
The marks obtained by 12 students in a test are given below. Find their mode marks.
47
16
14
25
21
32
14
29
15
22
38
42
(i)
13
(ii)
14
(iii)
15
(iv)
12
(v)
17
Question
8
8.
Daily wages of 12 labourers (in ₹) are given below. Find the mean wage.
392
454
434
323
461
460
303
396
354
412
418
445
(i)
₹
405.33
(ii)
₹
404.67
(iii)
₹
405.00
(iv)
₹
406.33
(v)
₹
404.33
Question
9
9.
Marks obtained by 141 students of a class in an examination are given below.
Identify the class interval table for the given frequency polygon.
(i)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
14
28
23
19
30
(ii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
14
23
23
19
30
(iii)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
14
28
20
19
30
(iv)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
28
14
23
19
30
(v)
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
No. of students
27
30
28
23
19
14
Question
10
10.
Rainfall of 186 days (in mm) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
45
20
34
22
26
12
22
5
(ii)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
45
5
32
22
26
12
22
20
(iii)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
45
5
34
22
26
12
22
20
(iv)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
45
5
22
34
26
12
22
20
(v)
Rainfall (in mm)
9 - 15
15 - 21
21 - 27
27 - 33
33 - 39
39 - 45
45 - 51
51 - 57
No. of days
45
5
34
22
24
12
22
20
Question
11
11.
Construct a frequency table
in exclusive form
for the following
ages (in years) of
20
students, taking class size
4
.
23
21
20
20
24
15
13
25
23
19
11
11
16
10
17
12
14
24
24
14
(i)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
4
5
6
(ii)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
6
5
4
5
(iii)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
5
1
6
(iv)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
5
4
6
(v)
Age (in years)
10 - 14
14 - 18
18 - 22
22 - 26
No. of Students
5
8
4
6
Question
12
12.
If the sum of the following frequency distribution is
30
,
find the value of 'x'.
Value
Frequency
5
3
6
3
7
3
8
4
9
1
10
5
11
x
12
4
13
5
(i)
2
(ii)
4
(iii)
3
(iv)
0
(v)
1
Question
13
13.
If the mean of the following frequency distribution is
5
20
29
,
find the value of 'x'.
Value
Frequency
2
4
3
4
4
4
5
2
6
4
7
x
8
2
9
3
10
2
11
1
(i)
3
(ii)
5
(iii)
1
(iv)
4
(v)
2
Question
14
14.
Heights of 20 students are given below. Find the median.
Height (in cm)
137
140
142
146
159
161
169
No. of students
2
3
3
3
1
5
3
(i)
148
cm
(ii)
146
cm
(iii)
144
cm
(iv)
145
cm
(v)
147
cm
Question
15
15.
Heights of 150 students (in cm) are given below.
Identify the class interval table for the given histogram.
(i)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
No. of students
10
13
30
34
17
35
11
(ii)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
No. of students
10
30
13
38
17
35
11
(iii)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
No. of students
10
30
16
34
17
35
11
(iv)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
No. of students
10
11
13
34
17
35
30
(v)
Height (in cm)
123 - 128
129 - 134
135 - 140
141 - 146
147 - 152
153 - 158
159 - 164
No. of students
10
30
13
34
17
35
11
Question
16
16.
Following bar graph gives the average temperature of a place during a week. Find the day that has 25 °C temperature.
(i)
Wed.
(ii)
Tues.
(iii)
Thurs.
(iv)
Sat.
(v)
Mon.
Question
17
17.
The marks obtained by Kiran in his annual exam are shown below. Find the subject that has minimum score.
(i)
German
(ii)
Biology
(iii)
Mathematics
(iv)
Sanskrit
(v)
Science
Question
18
18.
Ages of 216 students (in years) are given below.
Identify the class interval table for the given histogram and frequency polygon on the same graph.
(i)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of students
28
27
24
41
44
21
31
(ii)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of students
28
27
24
39
44
21
31
(iii)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of students
28
24
27
41
44
21
31
(iv)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of students
28
27
19
41
44
21
31
(v)
Age (in years)
16 - 24
24 - 32
32 - 40
40 - 48
48 - 56
56 - 64
64 - 72
No. of students
28
31
24
41
44
21
27
Question
19
19.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has 29 °C temperature.
(i)
1 p.m.
(ii)
3 p.m.
(iii)
5 a.m.
(iv)
7 a.m.
(v)
5 p.m.
Question
20
20.
There are certain creatures in a zoo. Find the type of creature that has minimum presense in the zoo.
(i)
Domestic animals
(ii)
Land animals
(iii)
Water animals
(iv)
Wild animals
(v)
Beast animals
Question
21
21.
If the mean of
7
10
5
x
2
8
9
is
6
3
7
,
find the value of x.
(i)
4
(ii)
3
(iii)
2
(iv)
7
(v)
5
Question
22
22.
Identify the frequency distribution table for the given heights of 11 students in cm
167
157
161
162
170
151
160
157
174
160
167
(i)
Height (in cm)
154
158
161
168
175
179
180
No. of Students
1
2
1
1
3
2
1
(ii)
Height (in cm)
151
157
160
161
162
167
170
No. of Students
2
2
2
1
1
2
1
(iii)
Height (in cm)
151
154
158
163
166
169
172
173
174
177
No. of Students
1
1
1
1
1
1
1
1
1
2
(iv)
Height (in cm)
151
157
160
161
162
167
170
174
No. of Students
1
2
2
1
1
2
1
1
Question
23
23.
Given below is the column-graph showing heights of some mountain peaks. Find the mountain that has 6454 m height.
(i)
Nanda Devi
(ii)
Kilimanjaro
(iii)
Nanga Parbat
(iv)
Kanchenjunga
(v)
Appalachian
Question
24
24.
The class boundaries of the class with frequency x is
Class-Interval
Frequency
31 - 38
22
39 - 46
x
47 - 54
11
55 - 62
4
63 - 70
3
(i)
38.5
-
47
(ii)
38
-
46.5
(iii)
38.5
-
46.5
(iv)
38
-
47
(v)
39
-
46
Question
25
25.
Ages of 98 students (in years) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
No. of students
6
27
6
6
25
28
(ii)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
No. of students
6
28
27
6
25
6
(iii)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
No. of students
6
6
27
6
25
28
(iv)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
No. of students
6
6
32
6
25
28
(v)
Age (in years)
19 - 29
30 - 40
41 - 51
52 - 62
63 - 73
74 - 84
No. of students
6
6
27
8
25
28
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (i)
5) (iv)
6) (iv)
7) (ii)
8) (v)
9) (i)
10) (iii)
11) (iv)
12) (i)
13) (i)
14) (ii)
15) (v)
16) (iv)
17) (v)
18) (i)
19) (v)
20) (v)
21) (i)
22) (iv)
23) (ii)
24) (iii)
25) (iii)