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Density Curves. Weight of newborns Nearest pound Nearest tenth of pound 456789 456789.

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Presentation on theme: "Density Curves. Weight of newborns Nearest pound Nearest tenth of pound 456789 456789."— Presentation transcript:

1 Density Curves

2 Weight of newborns Nearest pound Nearest tenth of pound 456789 456789

3 Fit more & more rectangles It approaches a curve as the rectangles become smaller & has greater accuracy.

4 Density Function Describes the overall pattern of a distribution. The area under the curve and above any interval of values on the horizontal axis is the proportion of all observations that fall in that interval. The graph is a smooth curve called the density curve. Total area under the curve = 1.

5 Uniform Distribution All occur in equal distributions

6 Ex: What’s the area from 4.5 to 5.5?What’s the area from 5.5 to 6?

7 If we have a uniform continuous function from 3 to 8, find the height.

8 Ex. Find P(x < 10) Find P(x < 35) 0.02 50 minutes

9 Ex: Find P(x<4) Find P(x<2) 0.25

10 Ex: Find P(x<20) Find P(x>70) Find P(20<x<70) 0.02 50 100

11 Homework Page 353 (1-7) odd (21, 27, 33, 34) Worksheet


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