sierralynn1456
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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?

Respuesta :

LammettHash
Let [tex]\mu[/tex] be the mean and [tex]\sigma[/tex] the standard deviation.

Joe's score tells you that [tex]\dfrac{288-\mu}\sigma=-2[/tex], while Jon's score says [tex]\dfrac{633-\mu}\sigma=1[/tex]. Solve this to get [tex]\mu=518[/tex] and [tex]\sigma=115[/tex].
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, [tex]\frac{288-u}{a} =-2[/tex]

While Jon's score says that, [tex]\frac{633-u}{a} = 1[/tex]

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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