1. Which of the following statements is true about variance?
A Asmall variance indicates that the data points tend to be spread out from the mean
8. A small variance Indicates that the data points tend to be close to the mean.
C. Variance is always greater than the mean
D. Variance is the average of a probability distribution
2. Which of the following is the formula for the mean of a discrete random
A. dx =* 2.pfx 2)
C. uxLx.p(x)
8.x = x+p(x)
D.ux = p(x)
3. Which of the following is TRUE about the standard deviation?
A. If the variance is less than the standard deviation is always less than the variance.
B. If the variance is greater than 1, the standard deviation is always less than the variance.10
C. If the variance is less than 1, the standard deviation is always equal to the variance
D. If the variance is greater than 1, the standard deviation is always more than the varianc
For questions 4-5, refer to the situation given below.
The table shows the mean and variance of the probability distribution in the monthly sales of four different
colors of cars.
Color of Cars Mean
Variance
White
Black
Blue
Red
1.98
1.55
1.87
1.60
3.06
2.98
2.55
3.10
.C.top
4. Which of the following color will likely to be sold more in the future?
A. white
B. black
C. blue
D. red
5. Which color of the cars has the most spread data?
A. white
B. black
C. blue
D. red
6. What is the standard deviation for the colors with the least monthly sales?
A. 1.75
B. 1.73
C. 1.60
D. 1.76
7. Which part of a normal curve is extended indefinitely in both directions along the horizontal axis, approaching
but never touching it?
A. center
B. tail
D. spread
8. Which of the following rule states that almost all data fall within the 1, 2 and 3 standard deviations from the
mean when the population is normally distributed?
A. Empirical Rule C. Lottery Rule B. Derivative's Rule D. Sampling Rule
9. If the average age of retirement for the population in the Philippines is 65 years and with a standard deviation
of 5 years, what is the approximate age range in which 68% of people retire?
A. 60 - 70 years 8.55 - 65 years C. 55 - 60 years D. 60-65 years
10. Which of the following is NOT a reason for drawing a sample?
A. A sample is less time consuming than a census.
B. A sample is less costly to administer than a census.
C. A sample is always a good representation of the target population.
D. A sample is less cumbersome and more practical to administer.



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