Question

An article reported on a school​ district's magnet school programs. Of the 1748 qualified​ applicants, 884 were​ accepted,265 were​ waitlisted, and 599

were turned away for lack of space. Find the relative frequency for each decision made and write a sentence summarizing the results.

Find the relative frequency of qualified students being accepted.

The relative frequency of accepting qualified students is __% ​(Round to one decimal place as​ needed.)

Find the relative frequency of qualified students being waitlisted.

The relative frequency of waitlisting qualified students is ___​%. (Round to one decimal place as​ needed.)

Find the relative frequency of qualified students being turned away for lack of space.

The relative frequency of turning away qualified students is __​%. (Round to one decimal place as​ needed.)

Select the statement that best describes the relative frequencies.

A.Of the qualified​ students, 50.6​% were waitlisted.

B.Of the qualified​ students, 50.6​% were​ accepted, 15.2​% were​ waitlisted, and 34.3%were turned away due to lack of space.

C.Of the qualified​ students, 15.2​% were turned away for lack of space.

D.Of the qualified​ students, 34.3​% were accepted.

Answer 1

Here n=1748

Now for accepted, x=884

The relative frequency of accepting qualified students is , i.e. 50.6%​(Round to one decimal place as​ needed.)

Now for waitlisted, x=265

The relative frequency of waitlisting qualified students is , i.e. 15.2​%. (Round to one decimal place as​ needed.)

Now for turned away for lack of space x=599

The relative frequency of turning away qualified students is , i.e. 34.3​%. (Round to one decimal place as​ needed.)

Hence answer here is

B.Of the qualified​ students, 50.6​% were​ accepted, 15.2​% were​ waitlisted, and 34.3%were turned away due to lack of space.