Measures of Center and Variability

The temperature in Valley City was measured every hour on September 29. Is the mean temperature less than, approximately equal to, or greater than the median temperature?

• Less than

• Approximately equal to

• Greater than

• Cannot be determined

The dot plot shows the length, in minutes, of symphonies played by an orchestra. Which statements could Jackson use to explain why Manu is incorrect in saying the mean best represents the typical length of a symphony? Choose all the correct answers.

• The range is large.

• There is an outlier in the data.

• There is a large gap in the center of the data.

• The dot plot shows there is symmetry in the data.

• There are two equal-sized clusters away from the center of the data.

What statistical measure could Tye and Jacob use to support their argument about who will hit the golf ball the farthest?

• Mean

• Median

• Mode

• Range

What is the typical time it takes to assemble a car based on the dot plot?

• 20 hours

• 25 hours

• 30 hours

• 35 hours

Which measure of center is most affected by extreme values?

• Mean

• Median

• Mode

• Range

If the median time to assemble a car is 30 hours, what does this mean?

• Most cars take 30 hours to assemble.

• Half of the cars take less than 30 hours, and half take more.

• All cars take exactly 30 hours.

• 30 hours is the fastest time recorded.

Which measure of center is least affected by outliers?

• Mean

• Median

• Mode

• Range

What does a box plot help you understand about data?

• The exact values of all data points

• The distribution and spread of data

• Only the highest and lowest values

• The frequency of each data point

What is the purpose of using a dot plot in data analysis?

• To show the exact values of data points

• To compare two sets of data

• To display the frequency of data points

• To calculate the mean

What does the term 'measure of variability' refer to in statistics?

• The average value of a data set

• The spread or dispersion of a data set

• The most common value in a data set

• The total number of data points