VARIANCE OF DISCRETE RANDOM VARIABLE.pptx
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This document discusses calculating variance and standard deviation of a discrete random variable. It defines variance as the square root of the variance, which describes the variation in a probability distribution. It provides the formula for calculating variance and outlines the steps to find variance and standard deviation of a discrete random variable which include: finding the mean, subtracting the mean from each value, squaring the results, multiplying by the corresponding probabilities, and summing to find variance. Finally, it provides an example of calculating variance and standard deviation.
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VARIANCE OF DISCRETE RANDOM VARIABLE.pptx
- 2. VARIANCE & STANDARD DEVIATION LEARNING OBJECTIVES: 1. Solve for the variance and standard deviation of a discrete random variable 2. Interpret the variance and standard deviation of a discrete random variable 3. Shows humility in collaborating with their group mates and perseverance in solving
- 3. VARIANCE of Discrete Random Variable It is the square root of the variance It is a parameter describing the variation of the corresponding scores or population. STANDARD DEVIATION
- 4. DISTRIBUTION OF VARIANCE AND STANDARD DEVIATION
- 5. “This is the symbol for VARIANCE.” σ²= ∑(𝑥 −µ)²P(x) FORMU LA for VARIAN CE σ²
- 6. The number of cars sold per day at a local car dealership, along with its corresponding probabilities are 0,1,2,3,4 and 10%,20%,30%, 20%,20% respectively.
- 7. STEPS IN FINDING THE VARIANCE AND STANDARD DEVIATION 1. Find the mean of the probability distribution. 2. Subtract the mean from each value of the random variable X. BOARDW ORK
- 8. STEPS IN FINDING THE VARIANCE AND STANDARD DEVIATION 3. Square the result obtained in Step 2. 4. Multiply the results obtained in Step 3 by the corresponding probability
- 9. STEPS IN FINDING THE VARIANCE AND STANDARD DEVIATION 5. Get the sum of the results obtained in Step 4. Results obtained is the value of the variance of probability distribution. 6. Solve for the standard deviation
- 10. ABSTRAC TION How to find the Variance of a Discrete Random Variable?
- 11. ABSTRAC TION How can we describe the variation of the corresponding probability distribution? How to find the Standard Deviation of a Discrete Random Variable?
- 12. MY STATISTICS TEACHER’S NICKNAME MECHANICS: 1. ANSWER THE ACTIVITY 2. CHOOSE THE LETTER OF YOUR ANSWER FROM THE CHOICES PROVIDED
- 13. MECHANICS: 3. WRITE THE LETTER OF YOUR ANSWER BELOW ITS CORRESPONDING NUMBER IN THE TABLE. 4. CORRECT ANSWERS WILL DECODE THE NICKNAME OF YOUR STATISTICS
- 14. Z 2 4 6 8 P(z) 0.6 0.1 0.2 0.1 •Follow up: Determine the Variance and the Standard Deviation of the given random variable. Write your answer in your notebook.
- 15. MESSAGE