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Using the relation between standard deviation and variance it is concluded that the standard deviation for the population for the given variance is 7.1
<h3>What is the relation between standard deviation and sample variance? </h3>In statistics, the two most crucial metrics are variance and standard deviation. While the variance is a measurement of how data points vary from the mean, standard deviation is a measure of the distribution of statistical data.
The square root of the variance yields the standard deviation, i.e.
Standard deviation =
Given that sample, the variance is 49.7 and we have to calculate the standard deviation.
Standard deviation (σ) =
=
= 7.0498
=7.1
Hence, the standard deviation for the population for the given variance is 7.1
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To simplify this all you need to do is distribute the 4x across each term in the parenthesis
