Question

The heights of the starting 5 players on a basketball team are 60 inches, 67 inches, 64
inches, and 65 inches. If the mean or balance point of the players is 65, what is the
height of the 5th player?​

Answer 1

The  height of the 5th player is 69 inches.

Answer 2

The height of the 5th player would be as follows:

$69$ inches

Find the Height

No. of players $= 5$

The height of 4 players $= 60$ inches, $67$ inches, $64$ inches, $65$ inches.

Mean of the $5$ players $= 65$

To find,

Height of 5th player $= ?$

As we know,

Assuming the height of the 5th player be $x$

Mean $=$ Sum of observations$/$No. of observations

$65$ $= (60 + 67 + 64 + 65 + x)/5$

$65$ × $5$ $=$ $(60 + 67 + 64 + 65 + x)$

⇒ $325$ $= 256 + x$

∵ $x = 69$ inches

Thus, the height of the 5th player is $69$ inches.

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