QuestionWhat is the average age of Aaron's basketball team given ages: Jon 8, Jim 9, Bill 6, Aaron 9, Bob 8?

Studdy Solution

STEP 1

Assumptions1. The ages of the starting players on Aaron's basketball team are Jon is8 years old, Jim is9 years old, Bill is6 years old, Aaron is9 years old, and Bob is8 years old.

STEP 2

We need to find the average (mean) age of the team. The formula for the mean is the sum of all the values divided by the number of values.
$Mean = \frac{Sum\, of\, all\, values}{Number\, of\, values}$

STEP 3

First, let's calculate the sum of all the ages.
$Sum\, of\, all\, ages = Jon's\, age + Jim's\, age + Bill's\, age + Aaron's\, age + Bob's\, age$

STEP 4

Plug in the values for the ages to calculate the sum.
$Sum\, of\, all\, ages =8 +9 +6 +9 +8$

STEP 5

Calculate the sum of all ages.
$Sum\, of\, all\, ages =8 +9 + +9 +8 =40$

STEP 6

Now, we need to calculate the number of players on the team. In this case, there are5 players.

STEP 7

Now, we can calculate the mean age of the team by dividing the sum of all ages by the number of players.
$Mean\, age = \frac{Sum\, of\, all\, ages}{Number\, of\, players}$

STEP 8

Plug in the values for the sum of all ages and the number of players to calculate the mean age.
$Mean\, age = \frac{40}{5}$

STEP 9

Calculate the mean age of the team.
$Mean\, age = \frac{40}{5} =8$ The average (mean) age of the team is8 years.

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