consider the given density curve. what is the value of the median? -10 -7 -6 -2

Explanation:

Step1: Recall median property of uniform distribution

For a uniform distribution on interval $[a,b]$, the median is the mid - point of the interval. Here, the uniform density curve is on the interval $[- 10,-2]$.

Step2: Calculate the median

The formula for the mid - point of an interval $[a,b]$ is $\frac{a + b}{2}$. Substitute $a=-10$ and $b = - 2$ into the formula: $\frac{-10+( - 2)}{2}=\frac{-10 - 2}{2}=\frac{-12}{2}=-6$.

Answer:

-6