Question

true or false: the average of the numbers 10, 12, and 16 is 12r1.
o true
o false

Explanation:

Step1: Recall average formula

The average (arithmetic - mean) of a set of numbers $x_1,x_2,\cdots,x_n$ is $\bar{x}=\frac{x_1 + x_2+\cdots+x_n}{n}$. Here, $n = 3$, $x_1=10$, $x_2 = 12$, $x_3=16$.

Step2: Calculate the sum

$x_1 + x_2+x_3=10 + 12+16=38$.

Step3: Calculate the average

$\bar{x}=\frac{38}{3}=12\frac{2}{3}=12R2$, not $12R1$. So the statement is false.

Answer:

False