Question

calculate the average (arithmetic mean) of the set of numbers (to the nearest thousandths).
$left{ sqrt{\frac{4}{9}}, 2.3, \frac{4}{5}, 7, 2\frac{2}{7}, sqrt3{27}, 0.075
ight}$
a 2.16
b 2.217
c 2.304
d 2.385

Explanation:

Step1: Convert all to decimals

$\sqrt{\frac{4}{9}}=\frac{2}{3}\approx0.6667$; $\frac{4}{5}=0.8$; $2\frac{2}{7}\approx2.2857$; $\sqrt[3]{27}=3$
Set becomes: $0.6667, 2.3, 0.8, 7, 2.2857, 3, 0.075$

Step2: Sum all values

$0.6667 + 2.3 + 0.8 + 7 + 2.2857 + 3 + 0.075 = 16.1274$

Step3: Divide by count (7 values)

$\text{Mean}=\frac{16.1274}{7}\approx2.3039$

Step4: Round to nearest thousandths

$2.3039\approx2.304$

Answer:

C. 2.304