Chapter B.2, Problem 17E

To determine

To Explain:

Collection of numbers hat has given properties and if not then gives reason.

Answer to Problem 17E

The data set satisfying the listed properties can be $\left\{4,4,10\right\}$ .

Explanation of Solution

Given information:

Mean: $6$

Mode: $4$

Median: $4$

The mode of data having $n$ numbers that occurs most frequently.

Since the mode given is $4$ so that one can say that $4$ is mostly occurred in the data set.

Median of the given data set having $n$ numbers is the middle number when the numbers are written in numerical order and The average of given data set having $n$ numbers is the sum of the numbers divided by $n$ .

The mean is given as the $6$ and median is $4$ .

The data set satisfying the listed properties can be $\left\{4,4,10\right\}$ .