Since 25% of values fall between 31 and 38, we know that fewer than 25% fall between 31 and 35. Twenty-five percent of the values fall in the interval 38 to 41, and 25% fall between 41 and 64. The interval from 31 to 35 years has the fewest data values.Each interval lies within a quarter, so we cannot tell exactly where the data in that quarter is concentrated. There is not enough information to tell.There seems to be approximately a 14-year difference between the median and the third quartile. The third quarter has the largest spread.There seems to be only a three-year difference between the first quartile and the median. The second quarter has the smallest spread.However, this is not a rule, because there is so much variability in each data set.

Comparing the median ages, younger people tend to buy the BMW 3 series, while older people tend to buy the BMW 7 series.

The BMW 3 series is most likely to have an outlier.Each plot is skewed to the right, so the ages of the top 50% of buyers are more variable than the ages of the lower 50%. Each box plot is spread out more in the greater values.The box plot gives a good, quick picture of the data. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The “whiskers” extend from the ends of the box to the smallest and largest data values. Approximately the middle 50 percent of the data fall inside the box. The first quartile marks one end of the box and the third quartile marks the other end of the box. The smallest and largest data values label the endpoints of the axis. To construct a box plot, use a horizontal or vertical number line and a rectangular box.

We use these values to compare how close other data values are to them. A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. They also show how far the extreme values are from most of the data. Box plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data.

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