Answer :
Answer:
225 students scored 65 or better and 75 students scored 88 or better.
Step-by-step explanation:
We are given that The five-number summary for the scores of 300 nursing students are given :
Minimum = 40
[tex]Q_1 = 65[/tex]
Median = 82
[tex]Q_3 = 88[/tex]
Maximum = 100
[tex]Q_1[/tex] is the first quartile and is the median of the lower half of the data set. 25% of the numbers in the data set lie below [tex]Q_1[/tex] and about 75% lie above [tex]Q_1[/tex] .
[tex]Q_3[/tex] is the third quartile and is the median of the upper half of the data set. 75% of the numbers in the data set lie below[tex]Q_3[/tex] and about 25% lie above [tex]Q_3[/tex]
i) .About how many students scored 65 or better?
[tex]Q_1 = 65[/tex]
Since we know that 75% lie above [tex]Q_1[/tex] .
So, Number of students scored 65 or better = [tex]75\% \times 300 = \frac{75}{100} \times 300 =225[/tex]
ii)About how many students scored 88 or better?
[tex]Q_3 = 88[/tex]
Since we know that 25% lie above [tex]Q_3[/tex]
So, Number of students scored 88 or better = [tex]25\% \times 300 = \frac{25}{100} \times 300 =75[/tex]
Hence 225 students scored 65 or better and 75 students scored 88 or better.