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Consider the given density curve.

A graph goes from (0, 0) to (5, one-half).

Suppose that the mean value is 3.67. What is the best approximation for the median?

3.2

3.4

3.6

3.8

Picture posted below

Consider The Given Density Curve A Graph Goes From 0 0 To 5 Onehalf Suppose That The Mean Value Is 367 What Is The Best Approximation For The Median 32 34 36 38 class=

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Varshamittal029idn

The best approximation for the median is 3.6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

For the given density curve, the area under the density curve is

A=(1/2)×5×(1/2)=5/4

now, for the median, the area on the left and the area on the right of the median.

Let the median be x, then

The area criteria we get

(1/2)x(x/10)=(5/4)/2

⇒x²=5*20/4=25/2

So, we get x=5/([tex]\sqrt2[/tex])=3.5 ≈ 3.6

Hence the required answer is option 3.6

Learn more about density curves here-

brainly.com/question/18345488

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