Mushrooms. The unhappy outcome of uninformed mushroom picking is poisoning. In many cases, such poisoning is due to ignorance or a superficial approach to identification. The most dangerous fungi are...

Mushrooms. The unhappy outcome of uninformed mushroom picking is poisoning. In many cases, such poisoning is due to ignorance or a superficial approach to identification. The most dangerous fungi are Death Cap (Amanita phalloides) and two species akin to it, A. verna and Destroying Angel (A. virosa). These three toadstools cause the majority of fatal poisoning.

One of the keys to mushroom identification is the spore deposit. Spores of Amanita phalloides are colorless, nearly spherical, and smooth. Measurements in microns of 28 spores are given below:

(a) Find the five-number summary (Min,Q₁,Me,Q₃,Max) for the spore measurement data.

(b) Find the mean and the mode.

(c) Find and plot the histogram of z-scores,