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The average height of the basketball team A is 5 ft. 11 inches and that of B is 6 ft. 2 inches. There are 20 players in team A and 18 players in team B. The overall average height is


A) 72.42 inches

B) 71.00 inches

C) 70.22 inches

D) 70.00 inches

Correct Answer:
A) 72.42 inches

Description for Correct answer:
Overall average height = \( \Large \frac{n_{1}a_{1} + n_{2}a_{2}}{n_{1}+n_{2}} \)

\( \Large n_{1}=20, a_{1} = 5\ ft\ 11\ inches \)

=\( \Large 5 \times 12 + 11 = 71\ inches \)

\( \Large n_{2}=18, a_{2}= 6\ ft\ 2\ inches \)

=\( \Large 6 \times 12 + 2 = 74\ inches \)

Therefore, Overall height =\( \Large \frac{\left(20\right) \left(71\right)+ \left(18\right) \left(74\right)}{20+18} \)

= \( \Large \frac{1420 + 1332}{38} \) = 72.42 inches

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