Question

There are 8 members of a basketball team . In their last game their mean points scored was 12 . Dom was their best player with 33 points . Dom thinks that if he hadn't played the mean points scored would be 10 . Is Dom right or wrong ? You must explain your answer .

Answer 1

The mean points of the team is the average points per game

Dom's claim is wrong

How to determine if Dom is right

The number of players in the team is:

n = 8

The mean score per game is:

Mean = 12

The mean of a dataset is calculated as:

$Mean = \frac{Total}n$

So, we have:

$12= \frac{Total}8$

Multiply both sides by 8

$Total = 96$

When Dom's point is removed, we have:

$Points = 96 - 33$

$Points = 63$

There are 7 players left.

So, the mean point is:

$Mean = \frac{63}7$

$Mean = 9$

The mean score is not 10.

Hence, Dom's claim is wrong

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