Answer to Question #174913 in Statistics and Probability for Zaakira Thokan

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

Solution:

We know that while adding or removing a specific value, the median might change, or it might not, depending on the values of the data set.

Thus (a), (b), (c), (d) are all false.

Clearly, (e) is true, median may increase but it will depend on the actual masses of five parcels.