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what is the first error he made in computing the standard deviation? yu…

Question

what is the first error he made in computing the standard deviation?
yuri failed to find the difference between each data point and the mean.
yuri divided by n instead of n - 1.
yuri did not subtract 9 - 14 correctly.
yuri failed to square -2 correctly.

Explanation:

Step1: Recall standard - deviation formula

For a sample, the formula for the standard deviation $s$ is $s=\sqrt{\frac{\sum_{i = 1}^{n}(x_{i}-\bar{x})^{2}}{n - 1}}$, where $n$ is the number of data points, $x_{i}$ are the individual data points, and $\bar{x}$ is the mean. In the given calculation, it is divided by $n = 4$ instead of $n-1=3$. This is the first error.

Answer:

B. Yuri divided by $n$ instead of $n - 1$.