Republic of the Philippines
Department of Education
THIRD QUARTERLY TEST
TABLE OF SPECIFICATION
STATISTICS AND PROBABILITY Q3
OBJECTIVES
NO. OF HOURS OR
DAYS
NO. OF ITEM
ITEM NO.
1. Illustrate a random variable (discrete or continuous). M11/12SP-IIIa-1
2. Distinguish between a discrete and continuous random variable. M11/12SPIIIa-2
3. Find possible values of a random variable. M11/12SP-IIIa-3
4. Illustrate a probability distribution for a discrete random variable and its
properties. M11/12SP-IIIa-4
5. Compute probabilities corresponding to a given random variable. M11/12SPIIIa-6
1. Illustrate the mean and variance of a discrete random variable; (M11/12SP-IIIb2)
2. Calculate the mean and the variance of a discrete random variable; (M11/12SPIIIb-2)
3. Interpret the mean and the variance of a discrete random variable;
(M11/12SP-IIIb-3) and
4. Solve problems involving mean and variance of probability distributions.
(M11/12SP-IIIb-4)
After going through this module, you are expected to:
1. illustrate a normal random variable and its characteristics (M11/12SP-IIIc1);
2. identify regions under the normal curve that correspond to different standard
normal values (M11/12SP-IIc-3);
3. convert a normal random variable to a standard normal variable and vice
versa (M11/12SP-IIIc-4); and
4. compute probabilities and percentiles using the standard normal distribution
(M11/12SP-IIIc-d-1).
7
8
1-8
6
7
9-15
6
7
16-22
Republic of the Philippines
Department of Education
1. illustrate random sampling; (M11/12SP-IIId-2)
2. distinguish between parameter and statistic; (M11/12SP-IIId-3) and
3. identify sampling distribution of statistics (sample mean).(M11/12SP-IIId-4)
6
7
23-29
1. find the mean and variance of the sampling distribution of the
sample mean (M11/12SP-IIId-5); and
2. define the sampling distribution of the sample mean for normal
population when the variance is: (a) known; (b) unknown
(M11/12SP-IIIe-1).
1. illustrate the Central Limit Theorem; (M11/12SP-IIIe-2)
2. define the sampling distribution of the sample mean using the Central Limit
Theorem; and (M11/12SP-IIIe-3)
3. Solve problems involving sampling distributions of the sample mean.
(M11/12SP-IIIf-1)
1. Illustrate the t-distribution (M11-12SP-IIIg2)
2. Identify the percentile using the t-table (M11-12SP-IIIg5)
5
7
30-36
5
7
37-43
5
7
44-50
Prepared by:
Checked and Reviewed by:
Noted:
Republic of the Philippines
Department of Education