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CBSE Questions for Class 11 Commerce Applied Mathematics Descriptive Statistics Quiz 11 - MCQExams.com
CBSE
Class 11 Commerce Applied Mathematics
Descriptive Statistics
Quiz 11
How many boys attended the 1995 convention?
Report Question
0%
358
0%
390
0%
407
0%
540
0%
716
Explanation
Total no. of people who attended the Nation Youth Convention in 1955 =
716
From the graph we can see that,
Percentage of boys who attended in 1995 =
50
%
∴
No. of boys who attended in 1995 =
50
100
×
716
=
358
If the four regions shown in the graph above are the only regions in Town
T
, the total of which two regions accounts for exactly
70
percent of all cable television subscribers in Town
T
?
Report Question
0%
Regions
M
and
N
0%
Regions
M
and
O
0%
Regions
N
and
O
0%
Regions
N
and
P
Explanation
According to the graph,
The number of subscribers in region
M
is
3000
.
The number of subscribers in region
N
is
4000
.
The number of subscribers in region
O
is
1000
.
The number of subscribers in region
P
is
2000
.
We can see that number of subscribers in combined region of regions
M
and
N
is
3000
+
4000
=
7000
We can see that number of subscribers in combined region of regions
M
,
N
,
O
,
P
is
3000
+
4000
+
1000
+
2000
=
10000
.
Therefore Region
M
+
Region
N
subscribers
=
70
percent of total subscribers.
So, the correct option is
A
.
Variance of the first
1
natural numbers is.
Report Question
0%
√
5
0%
√
10
0%
5
√
2
0%
10
Examine the graph and determine which of the following is true.
Report Question
0%
(c) minus (b) equals (b) minus (d)
0%
(a) plus (d) equals (c)
0%
(c) minus (d) equals (a)
0%
(a) plus (b) equals (c) plus (d)
If the variance of
14
,
18
,
22
,
26
,
30
is
32
, then the variance of
28
,
36
,
44
,
52
,
60
is.
Report Question
0%
64
0%
128
0%
32
√
2
0%
32
The variance of
10
,
10
,
10
,
10
is.
Report Question
0%
10
0%
√
10
0%
5
0%
0
How many more students like Basketball than Cricket?
Report Question
0%
60
0%
120
0%
20
0%
40
Which month maximum rainfall?
Report Question
0%
April
0%
July
0%
August
0%
September
The chart below represents the average amount of rain falling each month in the town of Tegulpa. During which month of the year does the most rain fall?
Report Question
0%
January
0%
April
0%
August
0%
December
Which one of the following is a false description?
Report Question
0%
In a moderately asymmetrical distribution, the empirical relationship between Mean, Mode and Median suggested by Karl Pearson is Mean Mode = 3 (Mean Median)
0%
Coeffcient of variation is an absolute measure of dispersion
0%
Measure of skewness in the distribution of numerical values in the data set
0%
Kurtosis refers to the degree of flatness or peakedness in the region around the mode of a frequency curve
In _________ classification time becomes the
classifying variable and data are
categorized according to time.
Report Question
0%
spatial
0%
quantitative
0%
qualitative
0%
temporal
Explanation
Temporal classification of data refers to categorization of data on the basis of varying time-periods of which the data has been collected. This classification is thus useful for classification of time-series data according to time.
Highest marks are scored in ______ .
Report Question
0%
English
0%
Hindi
0%
Maths
0%
None of these
If the maximum number of marks is
50
in each subject, then in how many subjects student scored more than half of maximum marks?
Report Question
0%
1
0%
2
0%
3
0%
4
Which of the following are limitations of range?
Report Question
0%
It is not based on all the values.
0%
As long as the minimum and maximum values remain unaltered, any change in other values does not affect range.
0%
It can not be calculated for open-ended frequency distribution.
0%
All of these
In a frequency distribution, Range is the difference between _________ and __________
Report Question
0%
upper limit of the highest class, the lower limit of the lowest class
0%
lower limit of the highest class, the upper limit of the lowest class
0%
A or B
0%
None of the above
Which of the following is another term for quartile division?
Report Question
0%
Inter quartile range
0%
Semi Inter Quartile Range
0%
Inter Quartile Deviation
0%
None of these
If the minimum marks for passing in each subject is
14
, then in how many subject/subjects did he fail?
Report Question
0%
1
0%
2
0%
0
0%
None of these
If the mean and standard deviation of a normal distribution are
33
and
5
respectively, what is the Inter-quartile range?
Report Question
0%
(
6.67
)
0%
(
8
)
0%
(
7.74
)
0%
(
6.8
)
Karl Pearsons Coefficient of
Correlation is also known as ______.
Report Question
0%
simple correlation coefficient
0%
product moment correlation
0%
both A and B
0%
none of the above
The Multiplicative Model of a time series is expressed is :
Report Question
0%
Y
t
=
T
t
×
C
t
×
S
t
×
R
0%
Y
t
=
T
t
−
C
t
−
S
t
−
R
t
0%
Y
t
=
T
t
+
C
t
+
S
t
+
R
t
0%
Y
t
=
T
t
∩
C
t
∪
S
t
∪
R
t
Which of the following relations among the location parameters does not hold?
Report Question
0%
Q
2
=
M
e
d
i
a
n
0%
P
5
0
=
M
e
d
i
a
n
0%
D
5
=
M
e
d
i
a
n
0%
D
4
=
M
e
d
i
a
n
__________ gives a precise numerical
value of the degree of linear
relationship between two variables X
and Y.
Report Question
0%
Scatter diagram
0%
Spearmans coefficient of correlation
0%
Karl Pearsons Coefficient of Correlation
0%
None
The
P
8
2
for the following distribution is
X
2
3
4
5
6
7
8
9
10
11
Y
3
6
9
18
20
14
10
10
7
2
Report Question
0%
6
0%
5
0%
8
0%
9
Inter-Quartile Range is based upon ________.
Report Question
0%
First 50% of the values
0%
middle 50% of the values
0%
Last 50 % of the values
0%
25% of the values
Time series is an important statistical technique which is widely used by _________.
Report Question
0%
Scientists
0%
Sociologists
0%
Research workers
0%
All of above
Study the following graph carefully and answer the question given.
In which of the following pairs of companies the difference between average productions for the three years is maximum?
Report Question
0%
E and F
0%
D and C
0%
E and C
0%
A and E
Explanation
Total production of A
=
145
Total production of B
=
160
Total production of C
=
105
Total production of D
=
185
Total production of E
=
220
Total production of F
=
115
Therefore, difference between E and C production is the least.
Study the following graph carefully and answer the question given.
What is the percentage decline in production by company C from
1995
to
1996
?
Report Question
0%
5
0%
20
0%
15
0%
12.50
Explanation
Production of company C in
1995
=
40
lakhs tonne
Production of company C in
1996
=
35
lakhs tonne
% decline in production
=
40
−
35
40
×
100
=
12.5
%
Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Study the following bar-graph and answer the questions.
The average electric consumption by the family during these 5 months in 2013 is
Report Question
0%
470 units
0%
440 units
0%
450 units
0%
460 units
Explanation
Average units consumption in the year 2013
=
550
+
500
+
400
+
350
+
500
5
=
2300
5
=
460
units
Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Study the following bar-graph and answer the questions.
For how many months in 2012, the consumption of electric units was more than the average units consumption?
Report Question
0%
3
0%
2
0%
5
0%
4
Explanation
Average units consumption in the year 2012
600
+
700
+
400
+
300
+
200
5
=
2200
5
= 440 units
Hence, required months are July and August.
In a group,
2
students spend Rs
8
daily,
3
students spend Rs
10
daily and
5
students spend Rs
6
daily. The average spending of all
10
students is _______.
Report Question
0%
7.6
0%
5.8
0%
8.5
0%
6.7
If the sum of mean and variance of
B
.
D
for
5
trials is
1.8
, the binomial distribution is
Report Question
0%
(
0.8
+
0.2
)
5
0%
(
0.2
+
1.8
)
5
0%
(
0.8
+
0.2
)
10
0%
(
0.2
+
1.8
)
10
Explanation
a binomial distribution is characterized by
2
parameters:
n
- number of trials
p
- probability of success in one trail.
We there by know n=5, we need to find
p
.
M
e
a
n
of the binomial distribution is given by,
m
e
a
n
=
n
p
variance is given by
v
a
r
i
a
n
c
e
=
n
p
(
1
−
p
)
∴
m
e
a
n
+
v
a
r
i
a
n
c
e
=
1.8
=>
5
p
+
5
p
(
1
−
p
)
=
1.8
=>
5
p
2
−
10
p
+
1.8
=
0
=>
p
=
0.2
o
r
1.8
=>
p
=
0.2
[
∵
1
≥
p
≥
0
]
q
=
0.8
Binomial distribution is
(
0.2
+
0.8
)
n
.
Hence the answer is A
Study the following graph carefully and answer the question given.
What was the difference between the number of B type tyres manufactured in
1994
and
1995
?
Report Question
0%
1
,
00
,
000
0%
20
,
00
,
000
0%
10
,
00
,
000
0%
12
,
50
,
000
Explanation
Number of B type tyres in
1995
=
35
lakhs
Number of B type tyres in
1994
=
25
lakhs
difference
=
35
−
25
=
10
lakhs
=
1000000
If each observation of a dist. whose
S
.
D
is
σ
, is increased by
λ
then the variance of the new observations is
Report Question
0%
σ
0%
σ
+
λ
0%
σ
2
0%
σ
2
+
λ
Study the following graph carefully and answer the question given.
Which of the following companies recorded the minimum percentage growth from
1994
to
1995
?
Report Question
0%
A
0%
B
0%
C
0%
F
Explanation
order of company growth from
1994
to
1995
is
E
<
A
<
B
<
C
<
F
<
D
Study the following graph carefully and answer the question given.
The total number of all the three types of tyres manufactured was the least in which of the following years?
Report Question
0%
1995
0%
1996
0%
1992
0%
1994
Explanation
Number of
3
type tyres in
1992
=
75
lakhs
Number of
3
type tyres in
1993
=
75
lakhs
Number of
3
type tyres in
1994
=
77.5
lakhs
Number of
3
type tyres in
1995
=
85
lakhs
Number of
3
type tyres in
1996
=
65
lakhs
Therefore, total number of tyres is least in
1996
Study the following graph carefully and answer the question given.
In which of the following years was the percentage production of B type of C type tyres the maximum?
Report Question
0%
1994
0%
1992
0%
1995
0%
1993
Explanation
In
1995
, number of type B tyres are far greater than type C tyres
% production of B on % production on C is maximum in
1995
Standard deviation of
3
,
5
,
7
,
9
,
11
,
13
is?
Report Question
0%
12
0%
11
0%
11.66
0%
None
The standard deviation of the data:
x
:
1
a
a
2
........
a
n
f
:
n
C
0
n
C
1
.....
n
C
n
is
Report Question
0%
(
1
+
a
2
2
)
n
−
(
1
+
a
2
)
n
0%
(
1
+
a
2
2
)
2
n
−
(
1
+
a
2
)
n
0%
(
1
+
a
2
2
)
2
n
−
(
1
+
a
2
2
)
n
0%
None of these
Standard deviation of the first
2
n +
1
natural numbers is
Report Question
0%
√
n
(
n
+
1
)
2
0%
√
n
(
n
+
1
)
(
2
n
+
1
)
3
0%
√
n
(
n
+
1
)
3
0%
√
n
2
(
n
+
1
)
2
For a series the information available is
n
=
10
,
∑
x
=
60
,
∑
x
2
=
1000
. The standard deviation is?
Report Question
0%
8
0%
64
0%
24
0%
128
The standard deviation of
15
terms is
6
and each item is decreased by
1
. Then the standard deviation of new data is?
Report Question
0%
5
0%
7
0%
91
15
0%
6
Explanation
If each term of the data set is increased or decreased by the same amount, the standard deviation remains unchanged.
∴
Standard deviation of the new data set is also 6.
.
Variance of
10
C
0
,
10
C
1
,
10
C
2
,
10
C
10
is:
Report Question
0%
10.
20
C
10
−
2
10
100
0%
11.
20
C
10
−
2
10
11
0%
10.
20
C
10
−
2
20
100
0%
10.
20
C
10
−
2
10
121
The standard deviation of
1
,
2
,
3
,
4
,
5
,
6
,
7
is?
Report Question
0%
4
0%
2
0%
√
7
0%
None of the above
Explanation
Given observation is
1
,
2
,
3
,
4
,
6
,
7
Mean=
1
+
2
+
3
+
4
+
5
+
6
+
7
7
=
28
7
=
4
Variance=
n
∑
+
r
=
1
(
x
−
x
i
)
2
n
=
(
1
−
4
)
2
+
(
2
−
4
)
2
+
(
3
−
4
)
2
+
(
4
−
4
)
2
+
(
5
−
4
)
2
+
(
6
−
4
)
2
+
(
7
−
4
)
2
7
=
3
2
+
2
2
+
1
2
+
0
+
1
2
+
2
2
+
3
2
7
=
9
+
4
+
1
+
1
+
4
+
9
7
=
28
7
=
4
standard deviation=
√
v
a
r
i
a
n
c
e
√
4
=
2
What is standard deviation of the set of observations
32
,
28
,
29
,
30
,
31
?
Report Question
0%
1.6
0%
√
2
0%
2
0%
n
o
n
e
o
f
t
h
e
s
e
Explanation
σ
=
n
∑
i
=
1
√
(
x
i
−
x
a
v
)
m
−
1
x
a
u
=
32
+
28
+
29
+
30
+
31
5
=
30
∴=
√
(
32
−
30
)
2
+
(
28
−
30
)
2
+
(
29
−
30
)
2
+
(
30
−
30
)
2
+
(
31
−
30
)
2
5
−
1
=
√
4
+
4
+
1
+
1
4
=
√
10
4
=
√
10
2
=
1.58
In an experiment with
10
observations on
x
,
∑
x
=
60
,
∑
x
2
=
1000
one observation that was
20
was found to be wrong and was replaced by the correct value
30
then the correct variance is
Report Question
0%
64
0%
111
0%
52
0%
101
Variance of the data given below
Size of item
3.5
4.5
5.5
6.5
7.5
8.5
9.5
Frequency
3
7
22
60
85
32
8
Report Question
0%
1
0%
1.231
0%
1.321
0%
1.312
The variance of first
20
- natural numbers is?
Report Question
0%
399
4
0%
379
12
0%
133
2
0%
133
4
Explanation
V
a
r
[
X
]
=
E
[
X
2
]
−
(
E
[
X
]
)
2
=
1
20
[
(
1
2
+
2
2
+
.
.
.
.
.
+
20
2
)
]
−
(
E
[
X
]
)
2
Now,
E
[
X
]
=
20
∑
i
=
1
P
i
X
i
=
1
20
(
1
+
2
+
3
+
.
.
.
+
20
)
=
10.5
(
P
1
=
P
2
=
P
3
=
.
.
.
.
.
.
.
P
20
=
1
20
)
∴
V
a
r
[
X
]
=
1
20
[
(
1
2
+
2
2
+
3
2
+
.
.
.
.
+
20
2
)
]
−
10.5
2
=
1
20
×
2870
−
110.25
=
143.5
−
110.25
=
33.25
=
133
4
The mean and standard deviation of
1
,
2
,
3
,
4
,
5
,
6
are
Report Question
0%
7
2
,
√
35
12
0%
7
3
,
√
3
0%
3
,
3
0%
3
,
35
/
12
For r.v. X whose p.m.f. is
X
0
1
2
p(X=)x
b
2
2ab
a
2
Std. deviation of
X
i
.
e
.
σ
=
Report Question
0%
√
a
b
0%
√
2
a
b
0%
√
3
a
b
0%
2
√
a
b
The average marks of 10 students in a class is 60 with standard deviation 4 while the average marks of other 10 students is 40 with standard deviationIf all the 20 students are taken together, their standard deviation will be
Report Question
0%
√
109
0%
12
0%
√
116
0%
√
126
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Answered
1
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Incorrect : 0
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