EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
If the mean of
7
samples is
22
5
7
,
what is the new mean if
5
is subtracted from each number.
(i)
18
(ii)
158
9
(iii)
122
7
(iv)
124
7
Question
2
2.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has 22 °C temperature.
(i)
5 a.m.
(ii)
11 a.m.
(iii)
5 p.m.
(iv)
9 a.m.
(v)
7 a.m.
Question
3
3.
There are certain creatures in a zoo. Find the type of creature that has 417 creatures presense in the zoo.
(i)
Beast animals
(ii)
Land animals
(iii)
Domestic animals
(iv)
Water animals
(v)
Wild animals
Question
4
4.
Wages of 11 labourers are given below. Find the mode.
Wage (in rupees)
320
383
391
410
448
No. of labourers
2
1
4
3
1
(i)
₹
392.00
(ii)
₹
389.00
(iii)
₹
390.00
(iv)
₹
391.00
(v)
₹
393.00
Question
5
5.
The marks obtained by Ashish in his annual exam are shown below. Find the subject that has 56 score.
(i)
French
(ii)
Sanskrit
(iii)
Science
(iv)
Social Studies
(v)
Biology
Question
6
6.
If some random sample data is arranged in a frequency distribution table in
exclusive form
with
2
-
9
as the first class,
then the observation
34
falls in which class?
(i)
29
-
36
(ii)
30
-
37
(iii)
31
-
38
(iv)
29.5
-
37.5
(v)
30.5
-
36.5
Question
7
7.
Identify the class interval table for the given histogram.
(i)
Class-Interval
147 - 151
151 - 155
155 - 159
159 - 163
163 - 167
167 - 171
171 - 175
Frequency
135
52
77
77
36
43
91
(ii)
Class-Interval
147 - 151
151 - 155
155 - 159
159 - 163
163 - 167
167 - 171
171 - 175
Frequency
135
73
52
77
36
43
91
(iii)
Class-Interval
147 - 151
151 - 155
155 - 159
159 - 163
163 - 167
167 - 171
171 - 175
Frequency
135
52
73
80
36
43
91
(iv)
Class-Interval
147 - 151
151 - 155
155 - 159
159 - 163
163 - 167
167 - 171
171 - 175
Frequency
135
91
73
77
36
43
52
(v)
Class-Interval
147 - 151
151 - 155
155 - 159
159 - 163
163 - 167
167 - 171
171 - 175
Frequency
135
52
73
77
36
43
91
Question
8
8.
If the mean of
6
samples is
33
,
what is the new mean if each number is multiplied by
7
.
(i)
231
(ii)
230
(iii)
229
(iv)
232
(v)
234
Question
9
9.
Identify the class interval table for the given frequency polygon.
(i)
Class-Interval
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
Frequency
13
17
30
16
49
(ii)
Class-Interval
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
Frequency
13
49
30
16
13
(iii)
Class-Interval
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
Frequency
13
13
27
16
49
(iv)
Class-Interval
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
Frequency
13
13
30
16
49
(v)
Class-Interval
24 - 30
31 - 37
38 - 44
45 - 51
52 - 58
Frequency
13
30
13
16
49
Question
10
10.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Heights of children in a class.
c)
Number of members in a family.
d)
Weights of persons in a group.
e)
Wages of workers in a factory.
(i)
{b,d,e}
(ii)
{a,b,d}
(iii)
{a,b}
(iv)
{c,d}
(v)
{a,c,e}
Question
11
11.
The true lower limit and true upper limit of the class with frequency x is
Class-Interval
Frequency
25 - 31
19
31 - 37
x
37 - 43
6
43 - 49
9
49 - 55
2
(i)
31
-
37.5
(ii)
30.5
-
37
(iii)
30.5
-
37.5
(iv)
31
-
37
(v)
31.5
-
36.5
Question
12
12.
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)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of doctors
14
47
38
43
24
34
28
(ii)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of doctors
14
47
42
39
24
34
28
(iii)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of doctors
14
28
38
39
24
34
47
(iv)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of doctors
14
38
47
39
24
34
28
(v)
Age (in years)
28 - 37
37 - 46
46 - 55
55 - 64
64 - 73
73 - 82
82 - 91
No. of doctors
14
47
38
39
24
34
28
Question
13
13.
The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
47
46
31
4
49
29
16
48
41
24
44
19
(i)
331
5
(ii)
199
3
(iii)
197
3
(iv)
67
Question
14
14.
Temperatures of 11 days (in °C) are given below. Find the mode temperature.
25
32
25
28
31
25
27
35
33
34
25
(i)
24
°C
(ii)
25
°C
(iii)
23
°C
(iv)
26
°C
(v)
27
°C
Question
15
15.
Rainfall of 26 days are given below. Find the mode.
Rainfall (in mm)
6
7
8
9
10
11
12
13
14
15
No. of days
2
3
6
1
3
4
1
1
2
3
(i)
9
mm
(ii)
10
mm
(iii)
6
mm
(iv)
7
mm
(v)
8
mm
Question
16
16.
Temperatures of 167 days (in °C) are given below.
Identify the class interval table for the given frequency polygon.
(i)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of days
18
27
23
11
48
40
(ii)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of days
18
40
18
11
48
27
(iii)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of days
18
40
23
11
48
27
(iv)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of days
18
23
40
11
48
27
(v)
Temperature (in degree)
32 - 39
40 - 47
48 - 55
56 - 63
64 - 71
72 - 79
No. of days
18
40
23
8
48
27
Question
17
17.
Daily wages of 228 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)
278 - 283
283 - 288
288 - 293
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
No. of labourers
21
27
12
36
38
36
9
49
(ii)
Daily wage(in Rs)
278 - 283
283 - 288
288 - 293
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
No. of labourers
21
27
17
36
38
36
9
49
(iii)
Daily wage(in Rs)
278 - 283
283 - 288
288 - 293
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
No. of labourers
21
27
12
36
43
36
9
49
(iv)
Daily wage(in Rs)
278 - 283
283 - 288
288 - 293
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
No. of labourers
21
49
12
36
38
36
9
27
(v)
Daily wage(in Rs)
278 - 283
283 - 288
288 - 293
293 - 298
298 - 303
303 - 308
308 - 313
313 - 318
No. of labourers
21
27
36
12
38
36
9
49
Question
18
18.
Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
(i)
Age (in years)
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
No. of heart patients
30
25
12
13
22
12
7
(ii)
Age (in years)
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
No. of heart patients
30
7
12
13
22
12
25
(iii)
Age (in years)
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
No. of heart patients
30
12
7
13
22
12
25
(iv)
Age (in years)
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
No. of heart patients
30
7
17
13
22
12
25
(v)
Age (in years)
48 - 56
56 - 64
64 - 72
72 - 80
80 - 88
88 - 96
96 - 104
No. of heart patients
30
7
12
10
22
12
25
Question
19
19.
Ages of 128 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)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
No. of students
43
17
42
17
14
(ii)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
No. of students
43
14
37
17
17
(iii)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
No. of students
43
13
37
17
14
(iv)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
No. of students
43
37
17
17
14
(v)
Age (in years)
12 - 19
19 - 26
26 - 33
33 - 40
40 - 47
No. of students
43
17
37
17
14
Question
20
20.
Which of the following tables represent the given histogram with varying base widths
(i)
Rainfall (in mm)
5 - 35
35 - 55
55 - 95
95 - 125
125 - 135
135 - 145
No. of days
2
6
3
7
8
11
(ii)
Rainfall (in mm)
5 - 35
35 - 55
55 - 95
95 - 125
125 - 135
135 - 145
No. of days
7
11
12
8
8
11
(iii)
Rainfall (in mm)
5 - 35
35 - 55
55 - 95
95 - 125
125 - 135
135 - 145
No. of days
7
11
16
8
8
11
(iv)
Rainfall (in mm)
5 - 35
35 - 55
55 - 95
95 - 125
125 - 135
135 - 145
No. of days
7
11
12
10
8
11
(v)
Rainfall (in mm)
5 - 35
35 - 55
55 - 95
95 - 125
125 - 135
135 - 145
No. of days
2
6
3
3
8
11
Question
21
21.
The class size used in the below table is
Class-Interval
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
93 - 102
Frequency
14
15
25
21
27
8
19
(i)
7
(ii)
11
(iii)
10
(iv)
9
(v)
13
Question
22
22.
Given the mean of
12
samples as
5
1
2
,
what is the new mean if two samples
6
and
6
are removed ?
(i)
27
5
(ii)
5
(iii)
29
5
(iv)
37
7
(v)
17
3
Question
23
23.
Given class interval
19
-
22
in exclusive form, its
class size is
(i)
3
(ii)
2
(iii)
4
(iv)
1
(v)
5
Question
24
24.
Given table in inclusive form, convert it into exclusive form.
Class-Interval
7 - 17
18 - 28
29 - 39
40 - 50
51 - 61
62 - 72
Frequency
32
44
23
49
50
44
(i)
Class-Interval
6.5 - 17.5
17.5 - 28.5
28.5 - 39.5
39.5 - 50.5
50.5 - 61.5
61.5 - 72.5
Frequency
32
44
23
49
50
44
(ii)
Class-Interval
6.5 - 16.5
17.5 - 27.5
28.5 - 38.5
39.5 - 49.5
50.5 - 60.5
61.5 - 71.5
Frequency
32
44
23
49
50
44
(iii)
Class-Interval
6.5 - 17
17.5 - 28
28.5 - 39
39.5 - 50
50.5 - 61
61.5 - 72
Frequency
32
44
23
49
50
44
(iv)
Class-Interval
7 - 17
17 - 27
27 - 37
37 - 47
47 - 57
57 - 67
Frequency
17
10
32
38
42
38
(v)
Class-Interval
7.5 - 17.5
18.5 - 28.5
29.5 - 39.5
40.5 - 50.5
51.5 - 61.5
62.5 - 72.5
Frequency
32
44
23
49
50
44
Question
25
25.
The scores obtained by 14 students in a test are given below. Find the mode.
18
25
6
6
10
15
20
6
21
18
12
9
11
5
(i)
13
7
13
(ii)
5
(iii)
20
(iv)
25
(v)
6
Assignment Key
1) (iv)
2) (i)
3) (v)
4) (iv)
5) (i)
6) (ii)
7) (v)
8) (i)
9) (iv)
10) (i)
11) (iv)
12) (v)
13) (ii)
14) (ii)
15) (v)
16) (iii)
17) (i)
18) (ii)
19) (v)
20) (ii)
21) (iii)
22) (i)
23) (i)
24) (i)
25) (v)
