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- 1. Multiple Choice
What do you call a random variable with possible values that form a finite or countable set?
continuous
discrete
finite
infinite
- 2. Multiple Choice
What term is used to describe the average value of a discrete random variable over numerous trials of an experiment?
mean
probability
standard deviation
variance
- 3. Multiple Choice
Which of the following represents the amount of spread, dispersion, or variability of the items in a distribution?
mean or expected value
median and mode
outcomes and probability distribution
variance and standard deviation
- 4. Multiple Choice
Which of the following is also equal to the square root of the variance?
mean
median
probability
standard deviation
- 5. Multiple Choice
How would you interpret a very small variance or standard deviation but not equal to zero?
The values of the random variables are farther from the mean.
The values of the random variables are nearer to the mean.
The values of the random variables are equal to the mean.
The values of the random variables have no relationship with the mean.
- 6. Multiple Choice
Which of the following shows most likely the largest possible variance or variability?
number of girls in a randomly selected three-child family
number of newborn babies per minute.
number of Oreo cookies inside a 133 grams pack from different
branch of 711 stores
number of patients who are positive with COVID-19 in different
hospitals
- 7. Multiple Choice
Which of the following data shows most likely the smallest possible variance or variability?
number of books in different branch of National Bookstore
number of books inside a pack bag of grade 11 students
number of books inside the library of different universities
number of books inside the library of different households
- 8. Open Ended
What formula is described by σ2 = ∑[x2 * P(x)] − u2?
- 9. Multiple Choice
Which of the following is NOT a property of the variance?
The variance is not equal to the standard deviation.
A small variance means that the distribution of the random variable is narrowly concentrated around the mean.
A large variance means that the distribution is spread out, with some chance of observing values at some distance from the mean.
The value of the variance is less than zero.
- 10. Multiple Choice
Which of the following represents the mean value of a discrete random variable?
Expected value
Median
Standard deviation
Standard deviation
- 11. Multiple Choice
Which of the following is the correct formula to find the expected value of the probability distribution?
E(x) = ∑[x ∙ P(x)]
E(x) = ∑[x2∙ P(x)]
E(x) = ∑[x2 ∙ P(x)] − u2
- 12. Multiple Choice
The total area under the normal curve is
- 13. Multiple Choice
The normal curve is bell-shaped
x
/
sometimes
depends
- 14. Multiple Choice
Which part of the normal curve is extended indefinitely in both directions along the horizontal axis, approaching but never touching it?
- 15. Multiple Choice
According to the property of a Normal Probability Distribution, the mean is equal to what measures of central tendency?
median
mode
both A and B
only A
- 16. Multiple Choice
Which of the following rules state that almost all data fall within the 1, 2, and 3 Standard Deviation of the Mean when the population is normally distributed?
Empirical rule
Lottery rule
Pascal’s triangle rule
Sampling rule
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