Answer to Question #305816 in Statistics and Probability for Sam

Question

Write and solve an equation to find the value of the variable.

5.2, 8.3, 8.5, 7.7, 7.8, y; mean = 7.1

Answer 1

By definition of the mean, as there are 6 elements in total, we should have :

$\frac{5.2+8.3+8.5+7.7+7.8+y}{6}=7.1$

This gives us an equation for $y$ which can be solved to find :

$5.2+8.3+8.5+7.7+7.8+y=6\times 7.1 \\ 37.5+y=42.6 \\ y=42.6-37.5 \\ y=5.1$