Question

10. The five-number summary for the weights of a random sample of 30 hockey players is calculated to be:
180 195 200 212 230
It was later discovered that a player, whose weight is actually 170 lbs, was recorded as 180 lbs, and another player, whose weight is actually 240 lbs, was recorded as 230 lbs. The value(s) of which of the following sample measures will change after the corrections are made?
(I) mean (II) median (III) standard deviation
(A) I only (B) II only (C) III only (D) I and III only (E) II and III only
56

Answer 1

Based on given two changes of recordings, only the minimum & maximum value of five number summary will change, which will affect the standard deviation only ,but not the mean & median values

Answer is " standard deviation"

i.e III Only