Chapter 22, Problem 1RE

To determine

To check: Whether the given statement “If the raw data includes 25 values, and the class includes 3 of these values, the relative frequency of this class is 12%” is true or false.

Answer to Problem 1RE

The given statement “If the raw data includes 25 values, and the class includes 3 of these values, the relative frequency of this class is 12%” is $\underset{\_}{\text{true}}$.

Explanation of Solution

Definition used:

The relative frequency of a given data is found by dividing the frequency by the total number of data.

Calculation:

The given statement is “If the raw data includes 25 values, and the class includes 3 of these values, the relative frequency of this class is 12%”.

From the given statement, 25 is the total number of data and 3 is the frequency.

Hence, the relative frequency is given by,

$\begin{array}{c}\text{Relative frequency}=\frac{25}{3}\\ =0.12\\ =12\%\end{array}$

Therefore, the given statement “If the raw data includes 25 values, and the class includes 3 of these values, the relative frequency of this class is 12%” is $\underset{\_}{\text{true}}$.