Question

Twenty students were surveyed to find their favorite color. The results of the survey are shown below.

blue: 5
green:7
orange:3
purple:4
red:1

Which measure(s) would identify the favorite color: mean, median, mode, or range? Explain your choice.

Answer 1

Mode

Explanation:

Since colours don't have an intrinsic order and can't be put is ascending/descending order, we can't use median. For the same reason, range can also not be computed

Also, colours don't have numeric sovalues they can't be added. Hence the mean can also not be calculated

The only option left if the mode, which is based on frequencies. The highest frequency is of green, so green is the mode