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Reptile [31]
3 years ago
12

Select all statements that are true for density curves.

Mathematics
1 answer:
Cloud [144]3 years ago
7 0

Answer:

The curve is on or above the horizontal axis ⇒ 1st

The total area under the curve is 1 ⇒ 2nd

The proportion of data values between two numbers and is the area

under the curve between a and b ⇒ 4th

Step-by-step explanation:

* Lets explain the meaning of density curve

- Density curve  is a mathematical model for a distribution of a variable

- It is another type of graph that represents a quantitative variables

- It describes the overall pattern of a distribution

- <u><em>Its area is always on or above the horizontal axis</em></u>

- <u><em>Its area under the curve is exactly 1</em></u>

- It can come in many shapes - symmetric, right-skewed, left-skewed

- <u><em>The area under the curve and above any range of values on the </em></u>

  <u><em>horizontal axis is the proportion of all observations that fall in</em></u>

  <u><em>that range</em></u>

- Ex: density curve describes the probability distribution of a

 continuous random variable

 The probability of any event is the area under the curve and above

 the values that make up the event.

* Now lets chose the true statements

# <u><em>The curve is on or above the horizontal axis</em></u>

# <u><em>The total area under the curve is 1</em></u>

# <u><em>The proportion of data values between two numbers and is the area</em></u>

  <u><em>under the curve between a and b</em></u>

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