Chapter 2.1, Problem 29E

To determine

To find: the mean and the median of the density curve

Answer to Problem 29E

The mean and median are equal to 1.5.

Explanation of Solution

Calculation:

The mean point of the distribution is the balance point of the rectangle. Thus the mean is givenas follows:

  $\begin{array}{l}\mu =\frac{3+0}{2}\\ =1.5\end{array}$

For a symmetric distribution the median is the point, from which the area of the curve is equal on either side. Thus the median is given as follows:

Md= area lies to the left = area lies to the right

Md= 1.5

The mean and median of the uniform distribution is shown below.

  

Therefore both mean and median are equal to 1.5.

Conclusion:

Therefore both mean and median are equal to 1.5.