Question

Two class with 1000 kids each take the SAT college entrance exam. In class "A" the...

Two class with 1000 kids each take the SAT college entrance exam. In class "A" the scores are normally distributed between 1000 and 1600. In class "B" the scores are uniformly distributed between 1000 and 1600. Which class had more kids with scores of 1600?

which class had the higher mean SAT score?

Math   Statistics-And-Probability   
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Answer #1

In class A, the scores are normally distributed between 1000 and 1600. The graph of normal distribution looks like this.

The mean is the peak in the graph. The graph is symmetrical around mean. So, the mean must be around 1000+1600/2=1300.

The graph for uniform distribution is given below.

Class B had more kids with scores of 1600. Class A had the higher mean SAT score.

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