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Hello everyone.
00:02
We are given four problems.
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First problem is sum of deviations, some of deviations about arithmetic mean, about arithmetic mean is always, is always zero.
00:37
False.
00:40
Now we say the sum of the deviation of deviation of a set of observations of set of observations from their arithmetic mean from their arithmetic mean is always zero because of property that arithmetic mean that arithmetic mean is is characterized as center of gravity as center of gravity.
01:47
As center of gravity.
01:53
So this is true.
01:57
Our second problem is average of squared deviation average of squared deviation about arithmetic mean about arithmetic mean is called variance are first option is true and second option is false so variance is variance is mean of squares of means of squares of deviation from the mean, from the mean.
03:04
So this statement is true.
03:08
Now, our third problem is sample standard.
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Sample standard deviation is calculated by taking the by taking the square root by taking the square root of population standard deviation.
03:44
And our options are true and false...