An article in Chance magazine reported on the Houston Independent School District's magnet schools programs. Of the 1755 qualified applicants, 931 were accepted, 300 were wait-listed, and 524 were turned away for lack of space. Find the relative freuqency distribution of the decisions made and write a sentence describing it.

Question
Describing quantitative data
asked 2021-02-25
An article in Chance magazine reported on the Houston Independent School District's magnet schools programs. Of the 1755 qualified applicants, 931 were accepted, 300 were wait-listed, and 524 were turned away for lack of space. Find the relative freuqency distribution of the decisions made and write a sentence describing it.

Answers (1)

2021-02-26
Given:
1755 qualifed applicants in total
931 accepted
300 wait-listed
524 turned away for lack of space
The relative frequency if obtainded by dividing the frequency by its total frequency.
Accepted: \(\displaystyle\frac{{931}}{{1755}}\sim{0.5305}={53.05}\%\)
Wait-listed: \(\displaystyle\frac{{300}}{{1755}}=\frac{{20}}{{117}}\sim{0.1709}={17.09}\%\)
Turned away: \(\displaystyle\frac{{512}}{{1755}}\sim{0.2969}={29.69}\%\)
53.05% of the qualifed applicants were accepted, 17.09% were wait-listed and 524 were turned away for lack of space.
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