Question

In which of the following data sets is the mean equal to the mode?
4, 4, 4, 6, 6
4, 5, 5, 5, 6
3, 3, 4, 6, 7

Answer 1

4,5,5,5,6 .. where both the mean and mode is 5.

Answer 2

Mode is the most frequent number, which 5 is.

Answer 3

Now about the mean. Sum of numbers over amount of numbers.

\(\Large \color{purple}{\rightarrow {4 + 5 + 5 + 5 + 6 \over 5} }\)

\(\Large \color{purple}{\rightarrow {25 \over 5} }\)

\(\Large \color{purple}{\rightarrow 5 }\)

Mean is 5 too.