Following are summary statistics for two data sets, a and b. a b minimum 0.066 ? 2.235 1st quartile 1.42 5.27 median 2.60 8.03 3rd quartile 6.02 9.13 maximum 10.08 10.51 a. compute the interquartile ranges for both a and b. b. do the summary statistics for a provide enough information to construct a boxplot? if so, construct the boxplot. if not, explain why. c. do the summary statistics for b provide enough information to construct a boxplot? if so, construct the boxplot. if not, explain why.

Atoy company is considering a cube or sphere-shaped container for packaging a new product. the height of the cube would equal the diameter of the sphere . compare the volume to surface area ratios of the containers. which packaging will be more efficient? for a sphere, sa =4πr²

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Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.