Question

Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set, and what did he score on the exam?

Answer 1

Answer:

• d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.

Step-by-step explanation:

• Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?

{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)  

• a. Mateo scored a 55% on his exam.
• b. Mateo scored as well as or better than 55% of his classmates, with a score of 78.
• c. Mateo scored worse than 55% of his classmates, with a score of 78.
• d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.
• e. Mateo scored worse than 55% of his classmates, with a score of 82.

Solution

There are scores of 20 students. Each score is equivalent of 100%/20 = 5%

The easy way to understand Mateo' s place is to compare scores against 5% slots.

See attached.

We can also get the average score

Sum

• ∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556

Average or mean score:

• 1556/20 = 77.8

This is matching the 50% score.

As we see Mateo scored 82 which is matching 55%.

Correct option is d.