Question

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

Answer 1

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:

$\frac{354}{50} =\frac{x}{100}$

And solving for x we got:

$x = 100 (\frac{354}{50})=708$

So then the total of students is approximately 708

Step-by-step 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:

$\frac{354}{50} =\frac{x}{100}$

And solving for x we got:

$x = 100 (\frac{354}{50})=708$

So then the total of students is approximately 708