Problem 2. The average math scores (in points) of 5000 eighth-grade students fro

Question

Problem 2. The average math scores (in points) of 5000 eighth-grade students from various countries are described by the boxplot in the figure below Eighth Grade Math Scores, by Country LT - a. Given that the distribution is unimodal, determine whether it is skewed left, symmetric, or skewed right. (2 pts.) 300 350 400 450 500 550 600 Points b. Estimate the percentile of the United States' average score, which is 500 points. c. How many eighth-grade students scored between 300 and 500 points? (2 pts.) (4 pts.)

Explanation / Answer

a)as there are extreme values on the left tail ; tehrefore it is left skewed as mean is less than median

b)

as 500 is at 3rd quartile ; hence it is at 75th percentile

c)

as 300 is 0 th percentile and 500 is at 75 th percentile

hence there are 75 % values between 300 and 500

number of students between 300 and 500 =np=5000*0.75=3750

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