SAT Scores in Mathematics Are Normally Distributed with a Mean $f(Y)=\frac{1}{\sqrt{2 \pi \sigma_{Y}^{2}}} e^{-\frac{1}{2}\left(\frac{Y-\mu Y}{\sigma Y}\right)^{2}}$

question 34

Essay

SAT scores in Mathematics are normally distributed with a mean of 500 and a standard deviation of 100. The formula for the normal distribution is $f(Y)=\frac{1}{\sqrt{2 \pi \sigma_{Y}^{2}}} e^{-\frac{1}{2}\left(\frac{Y-\mu Y}{\sigma Y}\right)^{2}}$ Use the scatter plot option in a standard spreadsheet program, such as Excel, to plot the Mathematics SAT distribution using this formula. Start by entering 300 as the first SAT score in the first column (the lowest score you can get in the mathematics section as long as you fill in your name correctly), and then increment the scores by 10 until you reach 800. In the second column, use the formula for the normal distribution and calculate f(Y). Then use the scatter plot option, where you eventually remove markers and substitute these with the solid line option.

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