Question

find the mean.

Explanation:

Step1: Calculate the sum of value - frequency products

$$2\times2 + 5\times5+9\times3 + 14\times4$$
$$=4+25 + 27+56$$
$$=112$$

Step2: Calculate the total frequency

$$2 + 5+3 + 4=14$$

Step3: Calculate the mean

The mean formula is $\text{Mean}=\frac{\sum(\text{Value}\times\text{Frequency})}{\sum\text{Frequency}}$. So, $\text{Mean}=\frac{112}{14}$

Answer:

$8$