Question 1194641

Bessel's correction is the use of{{{ n − 1}}} instead of {{{n}}} in the formula for the sample variance and sample standard deviation


{{{4}}}, {{{6}}}, {{{7}}}, {{{8}}}, {{{10}}}

Count, {{{N}}}:	{{{5}}}
Sum, {{{sum(x)}}}:{{{35}}}
Mean, {{{mu}}}:	{{{7}}}

Standard deviation is the spread of a group of numbers from the mean. The variance measures the average degree to which each point differs from the mean. While standard deviation is the square root of the variance, variance is the average of all data points within a group.

Variance: Bessel's correction is the use of {{{n -1}}} instead of {{{n}}} in the formula for the sample variance {{{delta^2}}} and sample standard deviation


 {{{delta^2= ((4 - 7)^2 +(6-7)^2+(7-7)^2+(8-7)^2 + (10 - 7)^2)/5}}}

{{{delta^2= (9 +1+0+1 +9)/5}}}

{{{delta^2= 20/5 }}}

{{{delta^2= 4}}}


Standard Deviation:

{{{delta= sqrt(4)}}}

{{{delta=  2}}}