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If a tester's score is 1.5. The mean is 3.5 and the standard deviation is .5. How do I determine how many standard deviations the scorer is from the mean.

Submitted: 320 days and 1 hours ago.

Category: Math

Value: $9

Status: CLOSED

Level: Beginner; Subject: Measurement and Statistics

Already Tried:
This is my first attempt at seeking any help.

Accepted Answer

Hi there!

We need to compute the "z score", which tells us how many stdevs your score is from the mean:
z = (x-mu)/sigma, where x is the tester's score, mu is the mean, and sigma is the stdev

mean = 3.5
x = 1.5
sigma = 0.5

z = (1.5-3.5)/0.5
z = (-2)/0.5
z = -4

The score is -4 standard deviations from the mean (4 standard deviations below the mean).

Let me know if you have any questions, and if you're all set, thanks for accepting!
-Scott

Accepts:
Expert:	Scott
Pos. Feedback:	100.0 %
Answered:	1/6/2009

MIT Graduate

College degree in math... proficient in all levels -- from algebra to calculus

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If a tester's score is 1.5. The mean is 3.5 and the standard deviation is .5. How do I determine how many standard deviations the scorer is from the mean.

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Level: Beginner; Subject: Measurement and Statistics Already Tried: This is my first attempt at seeking any help.

Accepted Answer

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Level: Beginner; Subject: Measurement and Statistics

Already Tried:
This is my first attempt at seeking any help.