Hint: Higher scores indicate a stronger perception of bitterness.)
]]>standard deviation is a measure of how spread out the data in a particular distribution are. Roughly speaking, it is the average distance away from the mean value of any single data point in the distribution. If all of the data values are very close to together, then the average distance from the mean value would be small. If the data are very spread out, however, then many of the data points could be far away from the mean value, and the standard deviation would be much larger. Look at the graph that shows people’s perceptions of their most bitter experience. That data set has a mean value of approximately 56, but quite a few individuals gave scores down around 20 or up around 90—that is, the data are very spread out. Compare this distribution to the distribution of scores for the perception of a loud whisper. Which of the following statements best describes the variability of those two data sets?
]]>x-axis, as it may differ from graph to graph! After looking at each graph, predict (estimate) which data set will have the largest standard deviation. Then go back and use the controls on the graph to display the standard deviation and double-check your intuition. Which data set has the largest standard deviation?
]]>