Compare Mean and Median

What is the relationship of the mean and the median?

• The mean is greater than the median.

• The mean is less than the median.

• The mean and median are about equal.

• There is not enough information to know.

Which is true?

• Mean < Median

• Mean = Median

• Mean > Median

What is the relationship of the mean and the median?

• The mean is greater than the median.

• The mean is less than the median.

• The mean and median are about equal.

• There is not enough information to know.

Tia helps run her school's concession stand during football games. Over the course of the season, she tracks how many hamburgers and hotdogs are sold at each game and records the data in the table below. Based on the data, which statement is true?

• The mean number of hamburgers sold is less than the number of mean hotdogs sold.

• The mean number of hamburgers sold is greater the mean number of hotdogs sold

• The median number of hamburgers sold is less than the median number of hotdogs sold

• The median number of hamburgers sold is greater the median number of hotdogs sold

Compare the measure of center for each of the data sets.

• 90 secDVD players cost less, on average, at Store B

• The range for Store B is greater than the range for store A

• Data for store B has a greater mean, but not greater median than Store A.

• DVD players cost less, on average, at Store A.

Which statement is true?

• Set A has the lesser range

• Set B has the greater median

• Set A has the greater mean

• Set B is less symmetric than Set A

Coach Lantz recorded the number of shots on goal players made during two weeks of a lacrosse scrimmage. How much greater was week 2's mean than week 1's mean? Type your answer as a one-digit number without a label.

If a data set is skewed, and most of the data are at the lower end of the data, which is a better measure of center? Explain.

• The range; it would be smaller in a skewed data set.

• The mode; it would have to be at the lower end of the data.

• The mean; it is not affected by high or low data in a data set.

• The median; it is less sensitive to outliers in a data set.

Match the following inference with the statistical measure that best justifies the inference:

"On average, students in Grade 8 spent 2 more hours last week doing homework than students in Grade 6."

• Mean

• Median

• Range

• Interquartile Range (IQR)

• The freshmen averaged 1 more coat collected than the sophomores.

• The freshmen averaged the same number of coats collected as the sophomores.

• The sophomores averaged 1 more coat collected than the freshmen

• The sophomores averaged 3 more coats collected than the freshmen.