- #1
Leo Liu
- 353
- 156
- Homework Statement
- N/A
- Relevant Equations
- ##\int f(x) \cdot{x} \mathrm{d} x##
My questions are as follows:
1. How do we find them and why do we need them?
2. What are the meanings of the mean and the median of a PDF? Are the formulae below correct?
$$\int_{a}^{median} f(x) \mathrm{d}x = \int_{median}^{b} f(x) \mathrm{d}x$$
$$\int_{a}^{mean} f(x) \cdot x \mathrm{d}x = \int_{mean}^{b} f(x) \cdot x \mathrm{d}x = \frac 1 2$$
Thank you.
1. How do we find them and why do we need them?
2. What are the meanings of the mean and the median of a PDF? Are the formulae below correct?
$$\int_{a}^{median} f(x) \mathrm{d}x = \int_{median}^{b} f(x) \mathrm{d}x$$
$$\int_{a}^{mean} f(x) \cdot x \mathrm{d}x = \int_{mean}^{b} f(x) \cdot x \mathrm{d}x = \frac 1 2$$
Thank you.
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