IXL - Interpret mean and mean absolute deviation (Algebra 1 practice)

Naomi wants to visit all 50 U.S. states, but so far she has visited only 9. She asked her 24 classmates how many states each had visited. The mean number of states visited was 4.6, and the mean absolute deviation was 2.8 states.

Which is a measure of how much the number of states the students had visited typically varied?

2.8 states

4.6 states

9 states

50 states

ref_doc_title.

Learn with an example

question

Marvin is waiting tables at a local restaurant a few nights a week. He records the total amount of tips he receives each time he works. Last month, Marvin worked 10 shifts and earned at least

35.50

in tips each night. On two nights, he earned over

The mean of the tips he earned each shift was

53.75

and the mean absolute deviation was

11.25

Which best describes the typical amount Marvin earned in tips for a shift?

11.25

35.50

53.75

key idea

The mean is the average value of the data set. It describes the center of the data set.

The mean absolute deviation (MAD) is the average distance between the data values and the mean. It describes the variability of the data set.

solution

You want to describe the typical amount Marvin earned in tips for a shift.

A measure of center can provide a good typical value for a whole data set. Use the mean, since it describes the center of the data set. The mean of Marvin's tips each shift was

53.75

So, a typical amount Marvin earned in tips for a shift was about

53.75

Looking for more? Try these:

Lesson: Mean, median, mode, and range

Lesson: Mean absolute deviation

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

HH.5Calculate mean absolute deviation

Lesson: Mean, median, mode, and range

Lesson: Mean absolute deviation

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!