movie length (minutes)\ndescribe the shape of the graph. although the mean cannot be determined from the…

movie length (minutes)\ndescribe the shape of the graph. although the mean cannot be determined from the graph, can an approximation of the mean be determined? explain.

movie length (minutes)\ndescribe the shape of the graph. although the mean cannot be determined from the graph, can an approximation of the mean be determined? explain.

Answer

Answer:

The graph is a box - and - whisker plot. An approximation of the mean may be possible. Since the box - and - whisker plot shows the median (the line inside the box), the first and third quartiles (the ends of the box), and the minimum and maximum values (the ends of the whiskers), if the distribution is somewhat symmetric, the mean will be close to the median. If it is skewed, we can make a rough estimate based on the position of the median within the box and the lengths of the whiskers. For example, if the right - hand whisker is longer than the left - hand whisker and the median is closer to the first quartile, the distribution is right - skewed and the mean will be greater than the median.

Brief Explanations:

Box - and - whisker plots display key distribution features. Symmetry or skewness relative to median and whisker lengths can help estimate the mean.