2.3. Box-and-Whisker Plots http://www.ck12.org
Upper bound for outliers> 33. 75 + 75. 5 = 109 .25. There is no data above 95 Lower bound for outliers
< 53 − 33. 75 = 19 .25. There is no data below 35, so there are no outliers. (c)(d) The distribution of Idaho reservoir capacities is roughly symmetric and is centered somewhere in the
middle 60 percents. The capacities range from 35 up to 95 and the middle 50% of the data is between 53 and
75 .5%. (e) The data between the median and the upper quartile is slightly more compressed which causes the
median to be slightly larger than the median. The mean is approximately 65.7.- (a){ 0 , 72 , 82 , 89 , 105 }(b)
IQR= 17.
1. 5 ∗IQR= 25. 5
Upper bound for outliers> 25. 5 + 89 = 114 .5. There is no data above 105 Lower bound for outliers<
72 − 25. 5 = 49. 5 .63 is the last value that is above this point, so 0,4, and 46 are all outliers 35. (c)(d) The distribution of Utah reservoir capacities has three outliers. If those points were removed, the distri-
bution is roughly symmetric and is centered somewhere in the low 80 percents. The capacities range from 0
up to 105 including the outliers and the middle 50% of the data is between 72 and 89%. (e) There are three
extreme outliers, the mean is not resistant to the pull of outliers and there will be significantly lower than the
median. The mean is approximately 75.4.