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The standard deviation is __________ the mean deviation taken from the arithematic mean
cbse
math
class11
ch15
statistics
exemplar
q46
sec-a
easy
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asked
Jul 9, 2014
by
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1 Answer
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The standard deviation is greater than or equal to the mean deviation taken from the arithematic mean
answered
Jul 9, 2014
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0
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1
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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 $\sum\limits_{i=1} ^{15}x_i =279$ and $\sum \limits_{i=1} ^{15} x_i^2 =5524$Calculate the standard deviation based on all $40$ observations
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Jul 3, 2014
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Determine the mean and standard deviation for the following distribution:
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Jul 4, 2014
by
meena.p
cbse
math
class11
ch15
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The mean and standard deviation of a set of $n_1$ observations are $\bar{x_1}$ 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= \sqrt {\large\frac{n_1 (s_1)^2 +n_2 (s_2)^2}{n_1+n_2} +\frac{n_1n_2(\bar {x_1} -\bar {x_2} )^2}{(n_1+n_2)^2}}$
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Jul 9, 2014
by
meena.p
cbse
math
class11
ch15
statistics
exemplar
q47
sec-c
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1
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Jul 8, 2014
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cbse
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class11
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Jul 8, 2014
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cbse
math
class11
ch15
statistics
exemplar
q32
sec-c
difficult
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