Question

Hertford Juniors is a basketball team.

At the end of 10 games, their mean score is 35 points per game.
At the end of 11 games, their mean score has gone down to 33 points per game.

How many points did the team score in the 11th game?

Answer 1

The team scored 13 points in their 11th game.

Mean

The mean is the arithmetic average of a set of given numbers.

Let x represent the 11 score and a represent the sum of the first ten game points. Hence:

a/10 = 35

a = 350

After the 11th game the mean was 33, hence:

(a + x)/11 = 33

a + x = 363

x = 363 - a = 363 - 350

x = 13

The team scored 13 points in their 11th game.

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