If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m+n is equal to _____.
Option: 1 12
Option: 2 18
Option: 3 16
Option: 4 20
Dispersion (Variance and Standard Deviation) -
Variance and Standard Deviation
The mean of the squares of the deviations from the mean is called the variance and is denoted by σ2 (read as sigma square).
Variance is a quantity which leads to a proper measure of dispersion.
The variance of n observations x1 , x2 ,..., xn is given by
Standard Deviation
The standard deviation is a number that measures how far data values are from their mean.
The positive square-root of the variance is called standard deviation. The standard deviation, usually denoted by σ and it is given by
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variance of the first n natural numbers is 10
n = 1,2,3,4........n
Using variance formula
variance of the first m even natural numbers is 16
N = 2,4,6,8........2m
N = 2(1,2,3,4........m)
Using variance formula
Hence
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