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Recent questions and answers in Statistics
Questions
>>
CBSE XI
>>
Math
>>
Statistics
Calculate the mean deviation about the mean of the set of first n natural numbers where numbers where n is an even number.
cbse
math
class11
ch15
statistics
exemplar
q50
sec-b
medium
answered
Jul 9, 2014
by
meena.p
1
answer
Calculate the mean deviation about the mean of the set of first n natural numbers when n is odd number.
cbse
math
class11
ch15
statistics
exemplar
q49
sec-b
medium
answered
Jul 9, 2014
by
meena.p
1
answer
Find the standard deviation of the first n natural numbers.
cbse
math
class11
ch15
statistics
exemplar
q48
sec-b
medium
answered
Jul 9, 2014
by
meena.p
1
answer
The mean and standard deviation of a set of
n
1
observations are
¯
x
1
and
s
1
respectively , while the mean and standard deviation of another set of
n
2
observations are
x
2
and
s
2
respectively. Show that the standard deviation of the combined set of
(
n
1
+
n
2
)
observations is given by
S
.
D
=
√
n
1
(
s
1
)
2
+
n
2
(
s
2
)
2
n
1
+
n
2
+
n
1
n
2
(
¯
x
1
−
¯
x
2
)
2
(
n
1
+
n
2
)
2
cbse
math
class11
ch15
statistics
exemplar
q47
sec-c
difficult
answered
Jul 9, 2014
by
meena.p
1
answer
The standard deviation is __________ the mean deviation taken from the arithematic mean
cbse
math
class11
ch15
statistics
exemplar
q46
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
The mean deviation of the data is ________ when measured from the median .
cbse
math
class11
ch15
statistics
exemplar
q45
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
The sum of the squares of the deviations of the values of the variable is _______ when taken about their arithmetic mean.
cbse
math
class11
ch15
statistics
exemplar
q44
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
The standard deviation of data is _______ of any change in origin, but is ____________ on the change of scale.
cbse
math
class11
ch15
statistics
exemplar
q43
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
If the variance of a data is 121, then the standard deviation of the data is _______
cbse
math
class11
ch15
statistics
exemplar
q42
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
If
ˉ
x
is the mean of n values of x, then
n
∑
i
=
1
(
x
i
−
ˉ
x
)
is always equal to _______. If a has any value other than
ˉ
x
, then
n
∑
i
−
1
(
x
i
−
ˉ
x
)
2
is _________ than
∑
(
x
i
−
a
)
2
cbse
math
class11
ch15
statistics
exemplar
q41
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
Coefficient of variation
=
−
−
−
−
−
−
−
−
−
−
m
e
a
n
×
100
cbse
math
class11
ch15
statistics
exemplar
q40
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
The standard deviation of some temperature data in
∘
C
is 5. If the data were converted into
∘
F
the variance would be
cbse
math
class11
ch15
statistics
exemplar
q39
sec-b
medium
answered
Jul 9, 2014
by
meena.p
1
answer
Coefficient of variance of two distributions are 50 and 60 , and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is:
cbse
math
class11
ch15
statistics
exemplar
q38
sec-b
medium
answered
Jul 9, 2014
by
meena.p
1
answer
The following information relates to a sample of size 60:
∑
x
2
=
18000
,
∑
x
=
960
The variance is
cbse
math
class11
ch15
statistics
exemplar
q37
sec-b
medium
answered
Jul 9, 2014
by
meena.p
1
answer
Consider the numbers
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
. If
1
is added to each number the variance of the numbers so obtained is
cbse
math
class11
ch15
statistics
exemplar
q35
sec-a
easy
answered
Jul 9, 2014
by
meena.p
1
answer
Standard deviations for first 10 natural number is
cbse
math
class11
ch15
statistics
exemplar
q34
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
Let
x
,
x
2
,
x
3
,
x
4
,
x
5
be the observations with mean m and standard deviation s. The standard deviation of the observation
k
x
1
,
k
x
2
,
k
x
3
,
k
x
4
,
k
x
5
is
cbse
math
class11
ch15
statistics
exemplar
q32
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
Let
a
,
b
,
c
,
d
,
e
be the observations with mean m and standard deviations
S
. The standard deviation of the observations
a
+
k
,
b
+
k
,
c
+
k
,
d
+
k
,
e
+
k
is
cbse
math
class11
ch15
statistics
exemplar
q32
sec-c
difficult
answered
Jul 8, 2014
by
meena.p
1
answer
The mean of 100 observation is 50 and their standard deviation 5. The sum of all the observations is
cbse
math
class11
ch15
statistics
exemplar
q30
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
Find the standard deviation of the data:
6
,
5
,
9
,
13
,
12
,
8
,
10
is
cbse
math
class11
ch15
statistics
exemplar
q28
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
Following are the marks obtained by
9
students in a mathematics test:
50
,
69
,
20
,
33
,
53
,
39
,
40
,
65
,
59
The mean deviation from the median is :
cbse
math
class11
ch15
statistics
exemplar
q27
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
When tested , the lives (in hours) of
5
bulbs were noted as follows :
1357
,
1090
,
1666
,
1494
,
1623
The mean deviations (in hours) from their mean is
cbse
math
class11
ch15
statistics
exemplar
q26
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
Mean deviation for n observation
x
1
,
x
2
.
.
.
.
.
.
.
.
x
n
from their mean
ˉ
x
is given by
cbse
math
class11
ch15
statistics
exemplar
q25
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
The mean deviation of the data
3
,
10
,
10
,
4
,
7
,
10
,
5
from mean is
cbse
math
class11
ch15
statistics
exemplar
q24
sec-b
medium
answered
Jul 8, 2014
by
meena.p
1
answer
While calculating the mean and variance of
10
readings, a student wrongly used the reading
52
for the correct reading
25
, the obtained the mean and variance as
45
and
16
respectively . Find the correct mean and the variance.
cbse
math
class11
ch15
statistics
exemplar
q23
sec-c
medium
answered
Jul 7, 2014
by
meena.p
1
answer
Mean and standard deviation of
100
observation were found to be
40
and
10
respectively . If at the times of calculation two observations were wrongly takes as
30
and
70
in place of
3
and
27
respectively. Find the correct standard deviation.
cbse
math
class11
ch15
statistics
exemplar
q22
sec-c
difficult
answered
Jul 7, 2014
by
meena.p
1
answer
Following are the marks obtained , out of 100 by two students Ravi and Hashina in 10 tests: Who is more intelligent and who is more consistent?
cbse
math
class11
ch15
statistics
exemplar
q21
sec-c
difficult
answered
Jul 7, 2014
by
meena.p
1
answer
Determine mean and standard deviation of first n terms of an A.P whose first term is 'a' and common difference d.
cbse
math
class11
ch15
statistics
exemplar
q20
sec-c
difficult
answered
Jul 7, 2014
by
meena.p
1
answer
The weights of coffee in 70 jars is shown in the following table : Determine variance and standard deviation of the above distribution.
cbse
math
class11
ch15
statistics
exemplar
q19
sec-b
medium
answered
Jul 7, 2014
by
meena.p
1
answer
Determine the mean and standard deviation for the following distribution:
cbse
math
class11
ch15
statistics
exemplar
q18
sec-c
easy
answered
Jul 4, 2014
by
meena.p
1
answer
Calculate the mean deviation from the median of the following frequency data:
cbse
math
class11
ch15
statistics
exemplar
q17
sec-c
medium
answered
Jul 4, 2014
by
meena.p
1
answer
Calculate the mean deviation about the mean for the following frequency distribution.
cbse
math
class11
ch15
statistics
exemplar
q16
sec-b
medium
answered
Jul 4, 2014
by
meena.p
1
answer
Find the mean and variance of the frequency distribution given below:
cbse
math
class11
ch15
statistics
exemplar
q15
sec-c
difficult
answered
Jul 4, 2014
by
meena.p
1
answer
If for a distribution
∑
(
x
−
5
)
=
3
,
∑
(
x
−
5
)
2
=
43
and the total number of items is
18
. Find the mean and standard deviation .
cbse
math
class11
ch15
statistics
exemplar
q14
sec-b
difficult
answered
Jul 4, 2014
by
meena.p
1
answer
Mean and standard deviation of 100 items are 50 and 4 , respectively . find the sum of all items and sum of the squares of the items.
cbse
math
class11
ch15
statistics
exemplar
q13
sec-b
medium
answered
Jul 4, 2014
by
meena.p
1
answer
The mean life of a sample of 60 bulbs was 650 hours and the standard deviation was 8 hours. A second sample of 80 bulbs has a mean life of 660 hours and standard deviation 7 hours. Find the overall standard deviation.
cbse
math
class11
ch15
statistics
exemplar
q12
sec-a
medium
answered
Jul 4, 2014
by
meena.p
1
answer
There are 60 students in a class .The following is the frequency distribution of the marks obtained by the students in a test : where x is a positive integer . Determine the mean and standard deviation of the marks.
cbse
math
class11
ch15
statistics
exemplar
q11
sec-c
medium
answered
Jul 3, 2014
by
meena.p
1
answer
The frequency distribution given below find the standard deviation
cbse
math
class11
ch15
statistics
exemplar
q10
sec-a
medium
answered
Jul 3, 2014
by
meena.p
1
answer
The frequency distribution given below : Where A is a positive integer , has a variance of 160. Determine the value of A.
cbse
math
class11
ch15
statistics
exemplar
q9
sec-b
medium
answered
Jul 3, 2014
by
meena.p
1
answer
Two sets each of
20
observations , have the same standard deviation
5
. The first set has a mean
17
and the second a mean
22
. Determine the standard deviation of the set obtained by combining the given two sets.
cbse
math
class11
ch15
statistics
exemplar
q8
sec-a
difficult
answered
Jul 3, 2014
by
meena.p
1
answer
The mean and standard deviation of some data for the time taken to complete a test are calculated with the following results:Number of observations =
25
,mean =
18.2
seconds, standard deviation
=
3.25
seconds. Further another set of
15
observations
x
1
,
x
2
,
.
.
.
.
.
.
x
5
also in seconds is now available and we have
15
∑
i
=
1
x
i
=
279
and
15
∑
i
=
1
x
2
i
=
5524
Calculate the standard deviation based on all
40
observations
cbse
math
class11
ch15
statistics
exemplar
q3
sec-a
medium
answered
Jul 3, 2014
by
meena.p
1
answer
Find the mean deviation about the mean of the distribution
cbse
math
class11
ch15
statistics
exemplar
q2
sec-a
medium
answered
Jul 2, 2014
by
meena.p
1
answer
Find the mean deviation about the mean of the distribution
cbse
math
class11
ch15
statistics
exemplar
q1
sec-a
easy
answered
Jul 2, 2014
by
meena.p
1
answer
The mean and standard deviation of a group of 100 observations were found to be 20 and 3, respectively . Later on it was found that three observations were incorrect. Which are recorded by 21,21, and 18 . Find the mean and standard deviation, if the incorrect observations are omitted.
cbse
math
class11
ch15
statistics
misc
q7
sec-b
difficult
answered
Jul 2, 2014
by
meena.p
1
answer
The mean and standard deviation of marks obtained by 50 students of a class in three subjects , mathematics, physics and chemistry are given below:Which of these three subjects shows the highest variability in marks and shows the lowest?
cbse
math
class11
ch15
statistics
misc
q6
sec-c
medium
answered
Jul 2, 2014
by
meena.p
1
answer
The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation If it is replaced by 12.
cbse
math
class11
ch15
statistics
misc
q5-ii
sec-c
medium
answered
Jul 2, 2014
by
meena.p
1
answer
The mean and standard deviation of 20 observations are found to be 10 and 2 respectively. On rechecking it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation If wrong item is omitted.
cbse
math
class11
ch15
statistics
misc
q5-i
sec-c
medium
answered
Jul 2, 2014
by
meena.p
1
answer
Given
ˉ
x
is the mean and
σ
2
is the variance of n observations
x
1
,
x
2
,
x
3
.
.
.
.
.
.
x
n
prove that the mean and variance of the observations
a
x
1
,
a
x
2
,
a
x
3
.
.
.
.
.
.
.
a
x
n
are
a
ˉ
x
and
a
2
σ
2
, respectively ,
(
a
≠
0
)
cbse
math
class11
ch15
statistics
misc
q4
sec-a
difficult
answered
Jul 2, 2014
by
meena.p
1
answer
The mean and standard deviation of six observations are
8
and
4
respectively. If each observation is multiplied by
3
, find the new mean and new standard deviation of the resulting observation.
cbse
math
class11
ch15
statistics
misc
q3
sec-c
medium
answered
Jul 2, 2014
by
meena.p
1
answer
The mean and variance of
7
observation are
8
and
16
respectively.If six of the observations are
2
,
4
,
10
,
12
,
14
. Find the remaining two observations.
cbse
math
class11
ch15
statistics
misc
q2
sec-b
medium
answered
Jul 1, 2014
by
meena.p
1
answer
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