Question

Graduate Management Aptitude Test (GMAT) scores are widely used by graduate schools of business as an entrance requirement. Suppose that in one particular year, the mean score for the GMAT was 476, with a standard deviation of 107.
What values are one standard deviation above and below the mean?
A) 422 and 529
B) 369 and 583
C) 262 and 476
D) 476 and 690

Answer 1

The answer would be letter D. 476 and 690

Use Z score which is calculated as (GMAT score - mean)/ Standard Deviation. 

Look up tables of Z score to get Pr.'s. The tables only show positive values because the normal distribution is symmetrical, so if you get a negative using the formula above it only indicates that your.

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Answer 2

Answer:

B) 369 and 583.

Step-by-step explanation:

We have been given that in one particular year, the mean score for the GMAT was 476, with a standard deviation of 107. We are asked to find the values which are one standard deviation above and below the mean.

To find the score, which is one standard deviation below mean, we will subtract 107 from 476.

$\text{The value one SD below mean}=476-107$

$\text{The value one SD below mean}=369$

To find the score, which is one standard deviation above mean, we will add 107 to 476.

$\text{The value one SD above mean}=476+107$

$\text{The value one SD above mean}=583$

Therefore, the values 369 and 583 are one standard deviation below and above the mean respectively and option B is the correct choice.