Question

The country with a literacy rate of $49\%$ is closest to which of the following

percentiles?

a. $6^{th}$

b. ${10}^{th}$

c. ${28}^{th}$

d. ${49}^{th}$

e. There is not enough information to calculate the percentile.

Short answer

The correct option is (a)$6^{th}$

Step-by-step solution

Given information

The country with a literacy rate of $49\%$

Concept

$percentile=\frac{Numberofdatavaluesthatarelessthantheindividual\text{'}sdatavalue}{Totalnumberofdatavalues}\times 100\%$

Calculation

By looking at the dot plot, it can be seen that $10$ of the $177$ countries are to the left of $49$ implying that $10$ of the $177$ countries in the sample have a literacy rate below $49$ percent.

$$\begin{gathered} percentile=\frac{Numberofdatavaluesthatarelessthantheindividual\text{'}sdatavalue}{Totalnumberofdatavalues}\times 100\% \\ =\frac{10}{177}\times 100\% \\ =0.06\times 100\% \\ =6\% \end{gathered}$$

As a result, the $6^{th}$percentile is associated with a literacy rate of $49$ percent. Hence, the correct option is (a)