Question

The test scores for 9 students on the unit 1 test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the value of the third quartile for this data set?

Answer 1

Answer: Q3 = 92.5

Explanation:

1. Sort the values in ascending order (25, 35, 45, 50, 60, 80, 90, 95, 100)

2. Find the median (Even values, middle two are 60 and 80, averaging out to 70.)

3. Find the middle of the second half of the distribution not including the median (Since the median is in between two values, you can ignore the "not including the median" part. The middle value of the latter half of the distribution is in between 90 and 95, which averages out to 92.5)