sierralynn1456
Answered

the SAT was recently given at mcdowell high school. joe scored a 288 on a math section which is 2 standard deviations below the mean. jon scored a 633 on the math section which is a 1 standard deviation above the mean. what are the mean and standard deviation for the math section of the sat?

Verified Answer :

LammettHash

Let \(\mu\) be the mean and \(\sigma\) the standard deviation.

Joe's score tells you that \(\dfrac{288-\mu}\sigma=-2\), while Jon's score says \(\dfrac{633-\mu}\sigma=1\). Solve this to get \(\mu=518\) and \(\sigma=115\).

kapoorprachi783

The mean and standard deviation for the math section of the sat are 518 and 115

How do find the mean and standard deviation?

Let u be the mean and a the standard deviation.

Joe's score tells you that, \(\frac{288-u}{a} =-2\)

While Jon's score says that, \(\frac{633-u}{a} = 1\)

Solve

288 - u / a = -2         ..1

633 - u / a =  1          ..2

By subtracting 1 and 2 we get

u = 518

a= 115

Learn more about mean here: brainly.com/question/20118982

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