Comparing Mean Median

The mean would be _________ the median in this data distribution.

• greater than

• equal to

• less than

The mean would be _________ the median in this data distribution.

• greater than

• equal to

• less than

What error did Luke make?

• He forgot to put the numbers in order first.

• He crossed off the low and high pairs incorrectly.

• He left out a number when putting the numbers in order.

• He did not make an error.

Consider the data set:   11, 3, 8, 2, 9, 1, 4

Jennifer said the median of the set is 2, because it is the middle value in the data set.

Do you agree?

• Yes

• No

Derrick needs to figure out how he’s doing on his test scores so far this year. You can help by calculating the mean and the median to get an overall picture of his scores. Below are all of his scores: What is Derrick’s mean test score so far?

• 79

• 74.4

• 81.5

• 85

Derrick needs to figure out how he’s doing on his test scores so far this year. You can help by calculating the mean and the median to get an overall picture of his scores. Below are all of his scores: What is Derrick’s median test score so far?

• 75.4

• 78

• 81.5

• 85

Mariela earned the following test scores in math:95, 90, 100, 85, 80Mr. Adams accidentally entered Mariela’s next test score as 0. Which of these statements are true? Check all that apply.

• Before the error, the mean and the median were both 90.

• Before the error, the mean was 90 and the median was 100.

• After the error, the median remained the same.

• After the error, the mean was 75 and the median was 87.5.

• The error added an outlier to the data set.

Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What is mean number of letters per word?

• 4.5

• 5

• 11

• 60

Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What is median number of letters per word?

• 3 and 6

• 5

• 4.5

• 8

Which statements are true about the median? Check all that apply.

• Put the values in numerical order before trying to find the median.

• Median is a number that is much lower or much higher than the rest of the numbers.

• The median is always greatly impacted by outliers.

• The median is the number in the middle of an ordered set of values.

• The median must be calculated by finding the mean of the two middle points when there is an even number of data points.