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

A.) mean = mode
B.) Mean < median
C.) Mode < median

Answer 1

Mean: 1
Mode; 1
Media: 1

Your answer is A.

Answer 2

Answer: A.) mean = mode

Explanation:

The given data : -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

Number of terms = 11

`\text{Mean=}\frac{\text{Sum of all observations}}{\text{Number of observations}}\\\\\Rightarrow\ \text{Mean=}(11)/(11)=1\\\\\Rightarrow\ \text{Mean=}1`

Since the data is already arranged in order.

Median = Middle-most value=1

Hence, Mean=Median

Mode = Most repeated observation=1

i.e. Mean=Median=Mode