Answer to Question #174977 in Statistics and Probability for Lerato Portia

Question

Which statements below are true and which are false? Give a reason for your answer. If the median mass of five chemical reagent bags in the store room is 6.5 kg and one further 7 kg bag of chemical reagent is added to the consignment, then: (a) the new median mass will be about 6.6 kg (b) the median will increase (c) it is impossible for the new median mass to be less than it was (d) it is impossible for the new median mass to stay exactly at 6.5 kg (e) the median may increase, but that depends on the actual masses of all five parcels.

Answer 1

Median mass of 5 chemical reagent M=6.5kg

Now when a bag of 7 kg is added

(a) False, The new median increases but not at exactly 6.6kg.

(b) True, Median will increase.

(c) True, As the observation are arranged in asscending order So It is immpossible for the new median to be less than the previous one.

(d) True, The new median can't be same because The number of observation increases.

(e) False, Median increases and does not depend upon the masses of the parcels.