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Jack, Basketball and Math: Means and Standard Deviations

GMAT-AEEZTZ

Jack scores an average of $30$ points per basketball game with a standard deviation of $4$ points. Jack's average suddenly increases by $4$ points with all other factors staying the same.

If Jack scored within two standard deviations of his mean one day, what was the highest number of points he could have scored?

A

$30$

B

$34$

C

$38$

D

$42$

E

$46$