Answer to Question #229845 in Statistics and Probability for Gushex

Question

State whether the following statements are TRUE or FALSE. Give reasons for your answers. If the median mass of 5 people in a lift is 65kg and a 70kg man enters then: i) The new median will be about 66kg. ii) The median will increase. iii) It is impossible for the new median to be less than it was. iv) It is impossible for the new median to stay exactly at 65kg. v) The median my increase, but that depends on the actual values of all six figures.

Answer 1

Solution:

The median may increase, but that depends on the actual values of all six figures. Because the median depends primarily on the order of the data. Changing the lowest score does not affect the order of the scores, so the median is not affected by the value of this point.

Thus, only option (v) is true.