presentation for the discussion of discrete random variable

1. STATISTICS AND
PROBABILITY 11

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