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.

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