### Home > MC1 > Chapter 3 > Lesson 3.4.3 > Problem3-122

3-122.

Josea is allowed to be away from home to socialize with her friends for two hours each Friday night. She would like to convince her mom to let her stay out longer than she currently does, so she asked ten of her friends about the amount of time that they are allowed to be out on a typical Friday night. Her friends reported the following numbers of hours: $4.5, 2.5, 2, 1.5, 2, 1, 3.5, 5, 3.5$, and $2$.

1. Which measure of central tendency should Josea use to convince her mom? Why?

Arranging the data in order will help you determine the median and mode.
$1, 1.5, 2, 2, 2, 2.5, 3.5, 3.5, 4, 5$

The mean is $2.75$ hours.
If Josea wants to convince her mother to let her stay out longer, she should use the greatest central tendency.

2. Which measure of central tendency might Josea's mom choose to convince Josea that two hours is reasonable? Why?

Josea's mom will want to use to smallest central tendency to convince Josea that two hours is reasonable.