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
The correct answer is Option (3) → Mean > Mode = Median
The mean is the sum divided by the number of values, the median is the middle value once the data are arranged in order, and the mode is the value that occurs most often.
The data in order (13 values):
7, 7, 8, 10, 11, 11, 11, 11, 12, 13, 13, 15, 15
The three averages:
Mean \(\displaystyle=\frac{144}{13}\approx11.08\)
Median = the 7th value = 11
Mode = 11 (it occurs four times)
So the mean is a little more than 11, while the median and the mode are both 11.