Question

question 2
the table shows the ages of the swimmers on dions swim team.
the mean age of the swimmers is 10.
what does the mean represent?
the mean is the balancing point of the swimmers ages.
the mean is the age that occurs most often.
the mean is the age you would get if you order all of the swimmers ages from youngest to oldest and choose the middle swimmer.
swim team
name age (years)
maddox 9
enrique 13
gloria 9
mckenna 10
asher 10
hannah 9
danielle 10
katy 10
timothy 11
gentry 9

Explanation:

• The option describing the mean as the "balancing point" is correct: the mean acts as the balance point for a data set, where the total distance from values below the mean equals the total distance from values above the mean.
• The second option describes the mode (most frequent value, which is 9 here, not 10).
• The third option describes the median (middle value of ordered data, which is 10 here, but this is not the definition of mean).

Answer:

The mean is the balancing point of the swimmers' ages.