Answer
(a) $\text{Easy to Calculate and Simple to Understand}$
(b) $\text{See Solution}$
Work Step by Step
$\text{Explaination:}$
(a) Advantage of Using Range to Describe a Data Set:
Using Range $\rightarrow $ It requires the least time to calculate and thus makes it Easy and Simple to Understand.
Since the $\color{red} {\text {Range}}$ is the difference between the largest and smallest number in a set of data, Thus making it easier to compute and simple to understand.
$\text{For Example:}$
Consider a Data Set:
$$10,12,18,45,23,7,42,19$$
where
$\rightarrow$ Smallest Number is $7$.
$\rightarrow$ Largest Number is $45$.
$$\text{Range = Largest - Smallest}$$
$$Range = 45 - 7 = 38$$
(b) The $\color{red} {\text {Standard Deviation}}$ is a summary measure of the differences of each observation of the mean thus making it a more reliable measure of variation as it uses all the values of the data set.
