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6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?

User Onic Team
by
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1 Answer

3 votes

Answer:


IQR= Q_3 -Q_1 = 130-100=30

We know that below the third quartile we have 75% of the values and below the first quartile we have 25% of the values. Then between the third and the first quartile we will have 75-25%=50% of the values.

And then we can apply the following proportion rule:


(354)/(50) =(x)/(100)

And solving for x we got:


x = 100 ((354)/(50))=708

So then the total of students is approximately 708

Explanation:

We know that 354 students are between 100 and 130 so then the interquartile range is:


IQR= Q_3 -Q_1 = 130-100=30

We know that below the third quartile we have 75% of the values and below the first quartile we have 25% of the values. Then between the third and the first quartile we will have 75-25%=50% of the values.

And then we can apply the following proportion rule:


(354)/(50) =(x)/(100)

And solving for x we got:


x = 100 ((354)/(50))=708

So then the total of students is approximately 708

User MatWaligora
by
6.5k points
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