Question

For which set of numbers do the mean, median and mode all have the same value?

Answer 1

(a) In set 2,2,2,2,4

Mean $=\frac{2+2+2+2+4}{5}=\frac{12}{5}$

Median is the 3rd term which is equal to 2.

Mode = 2

(b) In set 1,3,3,3,5

Mean $=\frac{1+3+3+3+5}{5}=\frac{15}{5}=3$

Median is the 3rd term which is equal to 3.

Mode = 3 as it comes in maximum times.

$\therefore$ This set has mean, median and mode as the same value.