AP Statistics 1.7 A Calculate Measures of Center and Position for Quantitative Data Questions

Practise calculating and locating measures of centre and position from raw, grouped and graphical data, then explain how changes or combinations affect them.

Exam points

calculate a mean from raw values, a probability table or subgroup means weighted by sample size
locate or estimate the median using ordered observations, cumulative counts, histograms or boxplots
find quartiles, percentiles and a five-number summary from positions in ordered or grouped data
predict how changing one value affects the mean and median, and when group medians cannot be combined

The manager of an automotive company is interested in comparing the gas mileages for cars manufactured in Country A and cars manufactured in Country B. The manager selected a random sample of 100 cars manufactured in Country A and a random sample of 100 cars manufactured in Country B. The gas mileages for each sample, in miles per gallon (mpg), are summarized in the boxplots.

Boxplots of Gas Mileage for Each Country

The manager will create a new boxplot with the combined data from the sample of cars manufactured in Country A and the sample of cars manufactured in Country B.

What is a possible value of the median of the combined data set? Justify your answer by referencing the boxplots shown.

All question bank results loaded

AP Statistics 1.7 A Calculate Measures of Center and Position for Quantitative Data Questions question 1