Consider the density curve below.

What is the height of the density curve?
height $=$ $\square$

Question

Consider the density curve below.

What is the height of the density curve?
height $=$ $\square$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ The area under a density curve must equal 1. Since the curve is a horizontal line from $x = 2$ to $x = 7$, the length of the interval is $7 - 2 = 5$. ‖ ‖ step 2 ⋮ Let $h$ be the height of the density curve. The area under the curve is given by the product of the height and the length of the interval: $h \times 5 = 1$. ‖ ‖ step 3 ⋮ Solving for $h$: $$ h = \frac{1}{5} $$ ‖ ∻Answer∻ ⚹ The height of the density curve is $\frac{1}{5}$. ⚹ ∻Key Concept∻ ⚹ The area under a density curve must equal 1. ⚹ ∻Explanation∻ ⚹ The height of the density curve can be found by dividing 1 by the length of the interval over which the curve is defined. ⚹◊What statistical concept is typically represented by a density curve in a graph?⍭ Generate me a similar question◊

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