Comparing Mean, Median, Range

Find the mean?

• 3.3

• 99

• 97.4

• 98

Find the Median?

• 95

• 97.2

• 96.8

• 98

What is the range?

• 97.2

• 4

• 3.3

• 3.2

Match the following terms with its correct definition.

• Add together, and divide by 2.

• Mean or Average

• The middle value in a list of numbers when arranged in ascending order

• Median

• The number that appears most frequently in a set of numbers

• Mode

• The difference between the highest and lowest values in a set of numbers

• Range

• The sum of all values divided by the total number of values

• What if there are 2 numbers in the middle?

How does the median number of miles driven for Driver A compare to the median number of miles driven for Driver B?

• Driver B drives much less than Driver A when comparing medians.

• The medians are the same

• Driver A drives much less than Driver B when comparing medians.

• Driver A and Driver B make the same amount of money.

The table shows the finish times of 30 runners in the 100-meter dash. Use the table to identify the inference that can be made by comparing the measures of center.

• Every runner ran faster last year as compared to this year.

• Most runners ran faster last year, on average, as compared to this year.

• The runners ran faster this year, on average, as compared to last year.

• Every runner ran faster this year as compared to last year.

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)

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 you compare the medians of each data set, who spends more time online?

• Seventh graders

• Eight graders

• Both grades spend an equal amount of time online.

• Impossible to determine form the data sets.

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.