Mathematics

Variance measures how spread out data is from its mean—it's the average of squared deviations. Here, you'll use the variance formula to set up an equation: first find the mean in terms of $x$, then calculate $\sum(x_i - \bar{x})^2$ and divide by 5 to equal 8. Since $x$ is largest, you'll get two solutions but only one satisfies $x > 11$.

Variance measures how spread out data is from its mean—it's the average of squared deviations. Here, you'll use the variance formula to set up an equation: first find the mean in terms of $x$, then calculate $\sum(x_i - \bar{x})^2$ and divide by 5 to equal 8. Since $x$ is largest, you'll get two solutions but only one satisfies $x > 11$.