variance articles

How does variance measure spread?

How does variance measure spread?

What fundamental question does variance provide a precise mathematical answer to?

What fundamental question does variance provide a precise mathematical answer to?

If you summed the deviations of every data point from the mean ($x_i - ar{x}$), what result would you always obtain?

If you summed the deviations of every data point from the mean ($x_i - ar{x}$), what result would you always obtain?

What is the primary statistical purpose served by squaring each deviation from the mean?

What is the primary statistical purpose served by squaring each deviation from the mean?

What divisor is used when calculating the variance for an entire population ($\sigma^2$)?

What divisor is used when calculating the variance for an entire population ($\sigma^2$)?

When calculating sample variance ($s^2$), why is the sum of squares divided by $n-1$ instead of $n$?

When calculating sample variance ($s^2$), why is the sum of squares divided by $n-1$ instead of $n$?

If house prices are measured in dollars, what unit will the calculated variance be expressed in?

If house prices are measured in dollars, what unit will the calculated variance be expressed in?

What operation yields the standard deviation from the variance?

What operation yields the standard deviation from the variance?

Which key mathematical property makes variance especially useful for creating and testing complex statistical models?

Which key mathematical property makes variance especially useful for creating and testing complex statistical models?

Compared to variance, what is the primary weakness of the Range as a measure of spread?

Compared to variance, what is the primary weakness of the Range as a measure of spread?

In statistical analysis, which measure of spread is typically preferred for building models or performing hypothesis tests due to its mathematical properties?

In statistical analysis, which measure of spread is typically preferred for building models or performing hypothesis tests due to its mathematical properties?