The town of Butler, Nebraska, decided to give a teacher-competency test 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? Explain.

Yes, since a score of 82 is higher than 70.

No, it might have a percentile rank less than 70.

No, it might have a percentile rank greater than 70.

Yes, it might have a percentile rank less than 70

Question

Mathematics

Kaitlin

1 January, 22:34

The town of Butler, Nebraska, decided to give a teacher-competency test 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? Explain.

Yes, since a score of 82 is higher than 70.

No, it might have a percentile rank less than 70.

No, it might have a percentile rank greater than 70.

Yes, it might have a percentile rank less than 70

+2

Answers (1)

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Dustin Myers · Answer 1

2

No, it might have a percentile rank less than 70.

Step-by-step explanation:

Percentile is the measure indicating the the value below which a given percentage of observations of a group of observation falls.

For example 90 percentile in an exam means that the 90% of the people have scored below you in the exam.

70 percentile is the score below which 70% of the scores lie.

Now, it might be possible that less than 70% score lies below 82, in which case it can not be considered as 70th.

So, the score 82 might not be necessarily be a passing score as it may have percentile score less than 70 percentile

hence, option 2 that is

No, it might have a percentile rank less than 70. is correct