Chapter 7, Problem AP2.13CPT

To determine

To find: the following percentiles which are closest.

Answer to Problem AP2.13CPT

6th

Explanation of Solution

By seeing the dot plot observed that 10 of the 177 does lie to the left of 49 and therefore 10 of the 177 countries in the sample have a literacy rate that is less than 49%.

  $\begin{array}{c}\text{percentile=}\frac{\text{Number}\text{of}\text{data}\text{values}\text{that}\text{are}\text{less}\text{than}\text{the}\text{individual's}\text{data}\text{value}}{\text{Total}\text{number}\text{of}\text{data}\text{values}}\times 100\%\\ =\frac{10}{177}\times 100\%\\ =0.06\times 100\%\\ =6\%\end{array}$

Therefore the percentile associating with a literacy rate of 49% is the 6^th percentile.

Hence, the correct option is (a)