For the distribution in the following table,the percentile rank for X = 25 is 82%.? $$\begin{array} { l r }
\mathrm { X } & \mathrm { c } \% \
\hline 25 - 29 & 100 \% \
20 - 24 & 80 \% \
15 - 19 & 20 \% \
\hline
\end{array}$$

Question

For the distribution in the following table,the percentile rank for X = 25 is 82%.? $$\begin{array} { l r } 
\mathrm { X } & \mathrm { c } \% \
\hline 25 - 29 & 100 \% \
20 - 24 & 80 \% \
15 - 19 & 20 \% \
\hline
\end{array}$$

Quizplus · Accepted Answer

A percentile rank of 82% for X = 25 means that 82% of the data values in the distribution are below 25. Referring to the table, we can see that the only range of values that includes 25 is the "25-29" range, which has a cumulative percentage of 100%. This means that all data values in the distribution are below 29, and therefore 25 must be below 100% of data values. Since it is above the "20-24" range which has a cumulative percentage of 80%, but below the "25-29" range which has a cumulative percentage of 100%, it must fall between the 80th and 100th percentiles, giving it a percentile rank of 82%. Therefore, the statement is true.

For the Distribution in the Following Table,the Percentile Rank for X