Question

Based on the data set shown, which of the following is a true statement?

-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

mean = mode
mean < median
mode < median

Answer 1

mean = mode

Explanation:

To make this easier, let's find the mean, median, and mode.

Mean: Sum of a set of numbers divided by number of terms

Median: Middle number of data when data is in numerical order

Mode: Number that occurs most often in data

To find the mean, add all the values together. -1 - 1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11. Now, divide by the number of terms, which is 11. 11/11 = 1. The mean is 1.

To find the median, look at the number in the middle of the data. -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. The median is 1.

To find the mode, look at the number that occurs most often. There are 4 1's, so the mode is 1.

Since all numbers are equal, the only possible answer is the first option.