Answered

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Consider the given density curve.

A density curve is at y = one-third and goes from 3 to 6.

What is the value of the median?

3

4

4.5

6

Picture posted below

Consider The Given Density Curve A Density Curve Is At Y Onethird And Goes From 3 To 6 What Is The Value Of The Median 3 4 45 6 Picture Posted Below class=

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Medunno13idn

Answer: 4.5

Step-by-step explanation:

[tex]\frac{6+3}{2}=\boxed{4.5}[/tex]

We want to find the median for the given density curve.

The value of the median is 4.5. ({3+6)/2}

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value.

The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from 3 to 6.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:(a + b)/2

So we get: m = (6 + 3)/2 = 4.5

So we can conclude that the value of the median is 4.5, so the correct option is the second one, counting from the top.

If you want to learn more, you can read: https://brainly.com/question/26559908

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