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CBSE Questions for Class 9 Maths Statistics Quiz 1 - MCQExams.com
CBSE
Class 9 Maths
Statistics
Quiz 1
If x is the average(arithmetic mean) of
5
consecutive odd integers, what is the median of integers?
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0%
0
0%
1
0%
x
−
2
0%
x
If x and y are both prime numbers such that x < y < 50 , then the maximum possible range of the data 4,6,8, x,y,16 is
Report Question
0%
44
0%
45
0%
48
0%
47
Upper limit of class interval
75
−
85
is:
Report Question
0%
10
0%
−
10
0%
75
0%
85
Explanation
The upper value of a class interval is called the upper limit of the class.
Hence, 75 is the lower limit, 85 is the upper limit
Which two class has same frequency ?
Report Question
0%
0
−
10
&
10
−
20
0%
10
−
20
&
40
−
50
0%
both
0%
none of this
Which class has lowest frequency ?
Report Question
0%
0
−
10
0%
10
−
20
0%
20
−
30
0%
30
−
40
Explanation
Class
0
−
10
0−10
has lowest frequency i.e.
1
.
The difference between upper and lower limit is called
Report Question
0%
group
0%
class marks
0%
class size
0%
class internal
Explanation
Class size = Upper Limit- Lower limit
The class mark of
95
−
100
is
Report Question
0%
100
0%
97.5
0%
95
0%
95.5
Explanation
Class mark of a given interval is given by the following formula:
Class-mark
=
L
o
w
e
r
c
l
a
s
s
+
U
p
p
e
r
c
l
a
s
s
2
=
(
95
+
100
)
2
=
97.5
In the class interval
30
−
40
,
30
is
Report Question
0%
Frequency
0%
Range
0%
Upper limit
0%
Lower limit
Explanation
30
-lower limit,
40
-upper limit
Data available in unorganized form is called
Report Question
0%
out comes
0%
raw data
0%
class
0%
frequency
Explanation
Data available in
unorganized
form is called raw data
Size of the class
180
−
195
is
Report Question
0%
180
0%
195
0%
15
0%
−
15
Explanation
Size of class
=
195
−
180
=
15
In the class interval
35
−
46
, the lower limit is _____
Report Question
0%
35
0%
38
0%
40
0%
43
Explanation
For the class interval,
35
−
46
Lower limit
=
35
Upper limit
=
46
The mid-value of
20
−
30
is _____
Report Question
0%
23
0%
22
0%
25
0%
26
Explanation
Mid value
=
Lower Limit
+
Upper limit
2
Mid Value
=
20
+
30
2
Mid Value
=
25
The mean of
x
,
y
,
z
is
y
, then
x
+
z
=
Report Question
0%
y
0%
2
y
0%
3
y
0%
z
y
Explanation
The question tells us that the mean of
x
,
y
and
z
is
y
.
i.e.
x
+
y
+
z
3
=
y
i.e.
x
+
z
=
3
y
−
y
→
x
+
z
=
2
y
Consider the data :
2
,
3
,
2
,
4
,
5
,
6
,
4
,
2
,
3
,
3
,
7
,
8
,
2
,
2.
The frequency of
2
is ..............
Report Question
0%
3
0%
4
0%
5
0%
6
Explanation
In the data series:
2
,
3
,
2
,
4
,
5
,
6
,
4
,
2
,
3
,
3
,
7
,
8
,
2
,
2
2
occurs
5
times, hence its frequency is
5
The mid-point of a class intervals is called:
Report Question
0%
class interval
0%
class mark
0%
class limit
0%
upper limit
Explanation
Class mark is defined as the mean of the lower limit and upper limit.
Hence, the mid point of a class interval is called the class mark.
The formula
U
p
p
e
r
c
l
a
s
s
l
i
m
i
t
+
L
o
w
e
r
c
l
a
s
s
l
i
m
i
t
2
is known as
Report Question
0%
Class mark
0%
Class interval
0%
Upper limit
0%
Lower limit
Explanation
True. Class Mark is given by
U
p
p
e
r
c
l
a
s
s
l
i
m
i
t
+
L
o
w
e
r
c
l
a
s
s
l
i
m
i
t
2
A class interval of a data has
15
as the lower limit and
25
as the size then the class mark is :
Report Question
0%
26.5
0%
27
0%
27.5
0%
None of these
Explanation
Given,
Lower limit
=
15
Size of class interval
=
25
Upper limit
=
lower limit
+
size
=
15
+
25
=
40
Class mark is calculated from mean of lower and upper limit.
Class mark
=
lower limit
+
upper limit
2
=
15
+
40
2
=
27.5
0
−
10
,
10
−
20
,
20
−
30
.
.
.
so on are the classes, the lower boundary of the class
20
−
30
is _____
Report Question
0%
20
0%
21
0%
18
0%
22
Explanation
Lower boundary means the lower limit of the class interval.
The lower limit of
20
−
30
is
20
.
Which one of the following groups has different class size from others?
Report Question
0%
120
−
125
0%
243
−
249
0%
141.5
−
146.5
0%
315.5
−
320.5
Explanation
Class size
=
Upper limit
−
lower limit
All other classes have a class size
=
5
except,
243
−
249
which has a size of
6
Lower class limit of
15
−
18
is _____
Report Question
0%
15
0%
18
0%
15
or
18
0%
None of these
Explanation
We need to find lower class limit of
15
−
18
.
Thus,
15
is lesser in
(
15
−
18
)
, so answer is
15
.
The number of times a particular item occurs in a class interval is called its:
Report Question
0%
mean
0%
frequency
0%
cumulative frequency
0%
none of these
Explanation
The number of times a particular item is occurs in a class interval is called its frequency.
For, example the data set is
1
,
2
,
3
,
3
,
5
,
6
,
12
,
14
,
23
,
12
,
22
,
16
,
18
. In the data set the frequency of the class interval
10
−
15
is
3
i.e., the values in the class interval are
12
,
14
,
12
In the class interval
35
−
46
, the lower limit is _____
Report Question
0%
35
0%
46
0%
Can't determine
0%
None of these
Explanation
For the class interval
35
−
46
, the lower limit is
35
and upper limit is
46
In an examination,
10
students scored the following marks in Mathematics:
35
,
19
,
28
,
32
,
63
,
02
,
47
,
31
,
13
,
98
. Its range is
Report Question
0%
2
0%
96
0%
98
0%
50
Explanation
Range
=
Maximum value of the variable
−
Minimum value of the variable
=
98
−
2
=
96
The mean of
x
+
3
,
x
+
5
,
x
+
7
,
x
+
9
and
x
+
11
is
Report Question
0%
2
x
+
7
0%
x
+
8
0%
x
+
7
0%
None of these
Explanation
The observations are :
x
+
3
,
x
+
5
,
x
+
7
,
x
+
9
,
x
+
11
Mean =
s
u
m
n
u
m
b
e
r
o
f
o
b
s
e
r
v
a
t
i
o
n
s
=
x
+
3
,
x
+
5
,
x
+
7
,
x
+
9
,
x
+
11
5
=
5
x
+
35
5
=
x
+
7
What is the difference of frequencies of the intervals 30-40 and 40-50 ?
Report Question
0%
5
0%
20
0%
15
0%
25
Explanation
⇒
In given histogram we can see, frequencies of the class intervals
30
−
40
and
40
−
50
are
25
and
10
.
⇒
Difference of frequencies of the intervals
30
−
40
and
40
−
50
=
25
−
10
=
15
The range of the data
7
,
13
,
6
,
25
,
18
,
20
,
16
is _____
Report Question
0%
13
0%
19
0%
20
0%
25
Explanation
The data is:
7
,
13
,
6
,
25
,
18
,
20
,
16
Lowest value
=
6
highest value
=
25
Range
=
Highest Value
−
Lowest value
=
25
−
6
=
19
Construct a frequency distribution table for the data, taking class-intervals 4-6, 6-8, ............., 14-16.
11.5
4.5
7.4
9.8
4.6
14.2
6.6
15.5
6.3
6
5.3
8.25
6.4
15.3
4.3
14.4
7.8
8.3
8.4
6.5
8.9
11.7
4.7
12.2
9.2
12.5
15.2
5.8
10.8
9.9
9.4
7.7
10.5
15.8
8.9
10.5
12.7
8.8
10.1
5.5
Report Question
0%
C.I.
Tally Marks.
Frequency
4-6
6-8
8-10
10-12
12-14
14-16
|
|
|
|
╲
|
|
|
|
|
|
╲
|
|
|
|
|
|
|
╲
|
|
|
|
╲
|
|
|
|
╲
|
|||
|
|
|
|
╲
|
7
8
10
6
3
6
0%
C.I.
Tally Marks.
Frequency
4-6
6-8
8-10
10-12
12-14
14-16
|
|
|
|
╲
|
|
|
|
|
|
╲
|
|
|
|
|
|
|
╲
|
|
|
|
╲
|
|
|
|
╲
|
|||
|
|
|
|
╲
|
7
10
8
6
3
6
0%
C.I.
Tally Marks.
Frequency
4-6
6-8
8-10
10-12
12-14
14-16
|
|
|
|
╲
|
|
|
|
|
|
╲
|
|
|
|
|
|
|
╲
|
|
|
|
╲
|
|
|
|
╲
|
|||
|
|
|
|
╲
|
6
8
10
8
3
3
0%
None of these
Explanation
Crete class interval in
4
−
6
,
6
−
8
and so on and count the number of terms in between these intervals:
C.I.
Tally Marks.
Frequency
4-6
6-8
8-10
10-12
12-14
14-16
|
|
|
|
╲
|
|
|
|
|
|
╲
|
|
|
|
|
|
|
╲
|
|
|
|
╲
|
|
|
|
╲
|
|||
|
|
|
|
╲
|
7
8
10
6
3
6
The difference between the greatest and the least value of the observations is known as
Report Question
0%
M.D.
0%
S.D.
0%
Range
0%
Variance
Explanation
The difference between the greatest and the least value of the observations is defined as
R
a
n
g
e
.
How many articles have cost Rs.
50
?
Cost (in Rs.) :
10
−
20
20
−
30
30
−
40
40
−
50
50
−
60
60
−
70
Frequency :
22
18
35
115
38
22
Report Question
0%
22
0%
38
0%
35
0%
115
Explanation
The frequency distribution table is -
Cost (in Rs.) Class Interval
No. of articles(freq)
10
to
20
22
20
to
30
18
30
to
40
35
40
to
50
115
50
to
60
38
60
to
70
22
The articles which cost Rs.
50
=
38
Class mark of a class is obtained by using
Report Question
0%
Upper limit
0%
1
2
[Upper limit - Lower limit]
0%
1
2
[Upper limit + lower limit]
0%
1
2
[Upper limit + Lower limit]
−
1
Explanation
Class mark is the mean of the upper limit and lower limit of the class.
i.e. Class Mark
=
1
2
[upper limit + lower limit]
Hence, option C is correct.
0:0:1
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22
23
24
25
26
27
28
29
30
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
0
Answered
1
Not Answered
29
Not Visited
Correct : 0
Incorrect : 0
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