Question

Here is a list of the numbers of fish that Tyler caught in nine outings last summer: $2,0,1,3,0,3,3,1,2.$ Which statement about the mean, median, and mode is true?

median < mean < mode

mean < mode < median

mean < median < mode

median < mode < mean

mode < median < mean

Answer: C

Concepts:mean median (data)mode

Difficulty rating: 720

Solution:

To find these values more easily, we can get the following ordered list: $0, 0, 1, 1, 2, 2, 3, 3, 3.$

From this, we see that the mode is $3,$ the median is $2,$ and the mean is $15 / 9 = 5 / 3.$

Since $\dfrac{5}{3} < 2 < 3,$ we get that:

mean $<$ median $<$ mode.

Thus, C is the correct answer.

2011 AMC 8 Problem 4

Answer: C

Difficulty rating: 720

Solution:

Problem 4 in Other Years