High School

A group of 84 people were given an IQ test. Suppose the average IQ of the group was 113. The 36 males had an average IQ of 114. Find the average IQ of the females.

Answer :

Answer:

112.25

Step-by-step explanation:

The total of IQ points for all people in the group was ...

84 × 113 = 9492

Of those points, 36 × 114 = 4104 came from the males. Then the female IQ points were ...

9492 -4104 = 5388

and the female average was ...

5388/(84-36) = 5388/48 = 112.25

The average IQ of the females in this group was 112.25.

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