First slide

Introduction to statistics

Question

If the mean of $x + 2, 2 x + 3, 3 x + 4, 4 x + 5$ is $x + 2$ , then $x =$

Easy

A

0
B

1
C

$- 1$
D

2

Solution

We have
$\begin{array}{l} \frac{(x + 2) + (2 x + 3) + (3 x + 4) + (4 x + 5)}{4} = x + 2 \\ \Rightarrow 10 x + 14 = 4 x + 8 \Rightarrow x = - 1 \end{array}$

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