For the data 11, 15, 13, 12, 10, 8, 11, 7, 15, 11, 13, 7, 11, which of the following is true?

Mean > Mode = Median

Given set of data :- 11, 15, 13, 12, 10, 8, 11, 7, 15, 11, 13, 7, 11

Arrange in ascending order :- 7 , 7, 8, 10, 11, 11, 11, 11, 12, 13, 13, 15, 15

Mode = Most common number that appears in your set of data

11 occurs 5 times. So, Mode = 11

Median :- Middle number of the given set of data when arranged in ascending order

= 11

Mean = \(\frac{Sum\; of \;all\; observation }{ Total \; number\; of \;observation }\)

Mean = \(\frac{ 7 + 7 + 8 + 10 + 11 + 11 + 11 + 11 + 12 + 13 + 13 + 15 + 15 }{ 13}\)

= \(\frac{144  }{ 13 }\)

= 11.07

So, Mean > Mode = Median

The correct answer is Option (3) → Mean > Mode = Median