Question

Use the following information to answer the next two exercises. X= the number of days per week that $100$clients use a particular exercise facility.

The ${80}^{\text{th}}$percentile is

$$\begin{gathered} a.5 \\ b.80 \\ c.3 \\ d.4 \end{gathered}$$

Short answer

Answer is $\mathrm{d}$.

The ${80}^{\text{th}}$percentile is equal to $4$.

Step-by-step solution

Given

X= the number of days per week that $100$clients use a particular exercise facility.

Explanation

$X\text{is the number of days per week that}100\text{clients use a particular exercise facility.}$

$n=100$

Note the $0.80$in the "cumulative relative frequency" column to find the 80th percentile.

The 80th percentile is somewhere between $3$and $4.$We don't have any X values between $3$and 4, however. All X values are 4 from the $76th$percentile to the $87th$percentile.

As a result, the$80th$percentile is $4$.