The town of Butler, Nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score?
The town of Butler, Nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores
Given Information:
The raw test scores ranged from 0 to 100. Nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher.
To determine if a raw score of 82 is necessarily a passing score:
Percentile is a measure indicating the value below which a given percentage of observations fall.
In this case, 70 percentile is the score below which 70% of the scores lie.
The passing scores are those in the 70th percentile or higher. Suppose 50 teachers out of 100 scored more than 82 out of 100 then a score of 80 is just the 50th percentile and not the 70th percentile.
So, it might be possible that less than 70% scores lie below 82, in which case it cannot be considered as 70th percentile.
So, the score 82 might not be necessarily a passing score as it may have percentile score less than 70 percentile.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
