For the data 11, 15, 13, 12, 10, 8, 11, 7, 15, 11, 13, 7, 11, which of the following is true?
Answer & explanation
Correct answer: option 3
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