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Mr. Evans displays the test scores of his first period class in the box plot below.

The test scores from Mr. Evan's 3rd period class result in a 1st Quartile of 78 and an IQR that is one-third the IQR of his first period class. What value represents the value of the 3rd quartile of the scores from 3rd period?

Mr Evans displays the test scores of his first period class in the box plot below The test scores from Mr Evans 3rd period class result in a 1st Quartile of 78 class=

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Renaisance1
I think it is the last one, have a nice day!

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

1st Quartile of 3rd class period = 78

For 1st class period,

1st Quartile = 70

3rd Quartile = 85

IQR = Q₃-Q₁

[tex]IQR=85-70\\\\IQR=15[/tex]

According to question,

IQR of 3rd class period is one - third of the IQR of 1st class period.

So, it becomes

[tex]IQR_3=\dfrac{1}{3}\times IQR_{1}\\\\IQR_3=\dfrac{1}{3}\times 15\\\\IQR_3=5[/tex]

Now, we need to find the value of 3rd quartile of the scores from 3rd period.

[tex]IQR_3=Q_3-Q_1\\\\5=Q_3-78\\\\5+78=Q_3\\\\Q_3=83[/tex]

Hence, Third option is correct.

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