Your score on the itbs test is reported to be at the 70th percentile. which of the following must be true about your score?

a) it falls below the mean
b) it lies above the 3rd quartile
c) it lies between the median and the third quartile
d) 70% of people scored better than you did
e) none of the above is true

we know that

The percentile of a distribution is the number with % of the data below it or equal to it.

So

If your score on the ITBS test is reported to be at the percentile, This means that your score was equal to or higher than approximately % of the people who took this exam.

Therefore

Your score lies between the median and the third quartile

the answer is the option

c) it lies between the median and the third quartile

There are 65 goblins in the club

Step-by-step explanation:

Let number of goblins in the magic club be x

Number of goblins and wizards in the magic club = 120

So, Number of wizards in the magic club be 120 - x

So, Number of goblins = Number of wizards + 20% of number of wizards

⇒ x = 120 - x + 20% of (120 - x)

⇒ x = 120 - x + 0.2·(120 - x)

⇒ 2·x = 120 + 24 - 0.2·x

⇒ 2.2·x = 144

⇒ x = 65.45

Hence, Number of goblins in the magic club = 65