Question

1. farmer’s collection of pumpkins is weighed and the mean and median weight of the collection is calculated. Remarkably, the mean weight equals the median weight. The farmer’s daughter then adds her prize winning pumpkin (its huge!) to her father’s collection. Which is now a true statement?

            A. The value of the mean is the same as the value of the median.

            B. The value of the mean will be less than the value of the median.

            C. The value of the mean will be more than the value of the median.

            D. Cannot be determined.

Answer 1

We know that the median is not affected by the presence of extreme values in the data whereas the mean is affected.

Now see that when the farmer's daughter add her prize winning pumpkin, which is mentioned as huge, in the farmer" collection , it can be considered as a extreme data point in the collection of weights of farmer' pumpkins. Thus clearly we can say that the median will not change but the mean will increase and will be more than the previous mean.But as we know previously the mean and the median weights are same , so The value of the mean will be more than the value of the median(c).