Question

Add a number to this data set so that the mode is 4 and the median is 6.

3 4 4 8 10  ___

Answer 1

The mode is already 4 because it is the only repeated number. The median is the central value of the dataset has an odd number of elements or the average of the central pair if it has an even number of elements. The median is the average of 4 and 8, i.e., 6. So any number that doesn't equal any of the others and doesn't disturb the median of 6 is valid. Let's pick 9.