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Suppose 300 nursing students took a certification test that is worth 100 points.

The five-number summary for the scores is shown here:


Minimum = 40; Q1 = 65; Median = 82; Q3 = 88; Maximum = 100


About how many students scored 65 or better?

About how many students scored 88 or better?

User Hjalmar
by
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1 Answer

2 votes

Answer:

225 students scored 65 or better and 75 students scored 88 or better.

Explanation:

We are given that The five-number summary for the scores of 300 nursing students are given :

Minimum = 40


Q_1 = 65

Median = 82


Q_3 = 88

Maximum = 100


Q_1 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
Q_1 and about 75% lie above
Q_1 .


Q_3 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
Q_3 and about 25% lie above
Q_3

i) .About how many students scored 65 or better?


Q_1 = 65

Since we know that 75% lie above
Q_1 .

So, Number of students scored 65 or better =
75\% * 300 = (75)/(100) * 300 =225

ii)About how many students scored 88 or better?


Q_3 = 88

Since we know that 25% lie above
Q_3

So, Number of students scored 88 or better =
25\% * 300 = (25)/(100) * 300 =75

Hence 225 students scored 65 or better and 75 students scored 88 or better.

User Kishan Bharda
by
8.1k points

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