Reference no: EM132628799
The following are multiple- choice questions.
1. Fill in the missing words to the quote: "Statistical methods may be described as methods for drawing conclusions about _______________ based on ________________ computed from the _."
A. Populations, parameters, samples
B. Statistics, parameters, samples
C. Parameters, statistics, populations
D. Populations, statistics, samples
2. Consider the set of test scores from last year's Philippine Statistics Quiz elimination round. Supposing that we double all the scores, which of the following sample statistics will be changed: the mean, the median or the standard deviation?
A. Only the mean
B. Only the median
C. Only the mean and the median
D. The mean, median and standard deviation
3. Which of the following statements best describes statistical inference?
A. A decision, estimate, prediction, or generalization about the sample based on information contained in a population.
B. A statement made about a sample based on the measurements in that sample.
C. A set of data selected from a larger set of data.
D. A decision, estimate, prediction or generalization about the population based on information contained in a sample.
4. A company has 455 job openings -- 70 professional jobs and 385 blue collar jobs. Below is the summary of the results of job applications of 600 men and 300 women for these new jobs.
Type of Job
|
Men
|
Women
|
Applied
|
Hired
|
Applied
|
Hired
|
Professional
|
200
|
30
|
200
|
40
|
Blue collar
|
400
|
300
|
100
|
85
|
Total
|
600
|
330
|
300
|
125
|
Fifty-five percent (55%) of the men and about 42% of the women who applied were hired, raising the question of sexual discrimination. Assuming that the men and women were equally qualified, in which job category was there discrimination against women?
A. Professional only B. Blue collar only
C. Neither professional nor blue collar D.Both professional and blue collar
5. Which of the following statements is not true?
A. The mean and median are both measures of the center of a distribution.
B. The standard deviation and interquartile range are both measures of dispersion.
C. The median is less affected by outliers than is the mean.
D. Outliers are always caused by mistakes and should be removed from the data.
6. The following Philippine Basketball Association (PBA) teams each have played five games. Below is the summary of the teams' scores.
If the teams are ranked from highest to lowest based on median scores, which of them will be the top-ranked?
Team
|
Game 1
|
Game 2
|
Game 3
|
Game 4
|
Game 5
|
Median
|
Alaska Aces
|
85
|
90
|
44
|
80
|
46
|
80
|
Barangay Ginebra Kings
|
67
|
87
|
54
|
99
|
78
|
78
|
Purefoods Chunkie Giants
|
100
|
60
|
110
|
61
|
62
|
62
|
San Miguel Beermen
|
50
|
101
|
65
|
88
|
55
|
65
|
A. Alaska Aces
B. Barangay Ginebra Kings
C. Purefoods Chunkie Giants
D. San Miguel Beermen
7. If adult Filipino women have an average height of 4'11"with a standard deviation of half an inch, how many standard deviations below the mean is the height of a woman at 4'10".?
a. one b. two c. one inch c. half an inch
8. If a histogram is skewed to the right , which of the following is true?
A. The median and the mean are equal.
B. The median is less than the mean.
C. The median is greater than the mean.
D. The median is half the mean.
9. The mean and standard deviation of the heights, measured in feet, of a sample of elementary school children are feet and s = 0.2 feet, respectively. Given that one foot is equal to 12 inches, what is the value of the standard deviation if the measurements were done in inches?
A. 0.48 inches
B. 0.2 inches
C. 2.5 inches
D. 2.4 inches
10. The frequency distributions of four data sets are shown below. Which of these data sets has the least standard deviation?
11. Measurements of 30 students'heights (in feet) are entered into a computer for analysis. An overworked clerk enters the height of the tallest girl in inches instead of feet. The mean, median, range, standard deviation and interquartile range of student heights were then computed from this data set. Later, the supervisor spots the error, corrects it and re-computes the measures. Which of the following measures change?
A. mean, median, and interquartile range
B. mean, interquartile range, and range
C. median and standard deviation
D. mean and standard deviation
12. A random sample of 500 households in Los Baños was selected and several variables are recorded for each household. Which of the following is NOT CORRECT?
A. Household total income is a continuous variable.
B. Socioeconomic status was coded as 1=low income, 2=middle income, 3=high income and is an interval scaled variable.
C. The primary language used at home is a nominal scaled variable.
D. The number of persons in the household is a discrete variable.
13. Classifying students in a statistics course by their gender is an example of what scale of measurement?
a. Nominal b. interval c. ordinal d. ratio
14. A distribution that is relatively flat and wide is said to be:
a. mesokurtic b. lyptokurtic c. platykurtic d. skewe
15. On the average, it takes 45 minutes to reach Puerto from Aborlan with standard deviation of 15 minutes. At least what percent of time would it be for the time range of 15 min up to 75 mins? ( use chebyshev's approximation)
a. 68% b. 75% c. 95% d. 88.89%
16. A distribution of data is considered to be bell shaped with mean of 150 and standard deviation of 12. What values lie within 95% of the distribution?
a. 138 up to 162 b. 126 up to 174 c. 144 up to 156 d. none of these
17. The following are the grades a professor gave on the first test in a statistics class: 52, 90, 88, 61, 75, 82, 75, 83, 88, and 86. What was the median score on this test? a. 82 b. 82.5 c. 78.5 d. 88 e. 75
18. The average monthly high temperatures for the past seven months are: 68, 72, 45, 44, 50, 45, and 60. What is the mode?
a. 50 b. 72 c. 60 d. 45 e. there is no mode
19. The mean weight of three gemstones is 20 grams. The weights of two of the stones are 15 grams and 17 grams. What is the weight of the third stone?
a. 16 gmb. 10 gmc. 28 gm d. 14 gm e. none of these
20. A market research company has collected data on the price of a particular brand of soap in several different locations. The prices are as follows: $0.89, 0.95, 1.25, 1.36, 1.49, 1.65, 1.79, 1.89, 1.99. What are the upper and lower quartiles of soap prices for this brand?
a. 1.72, 1.17 b. 1.84, 1.17 c. 1.72, 1.10 d. 2.21, 0.74 e. 1.84, 1.10
21. In a class of 60, the passing mark for mathematics test is the third quartile. What does this imply?
a. Forty-five students did not pass the test.
b. Twenty-five percent of the students pass the test.
c. Twenty five students pass the test.
d. two of the above
e. all of the above
Given a distribution below. Fill in the blanks with correct values. (starting from top down to the bottom)
X
|
F
|
Class Mark (21)
|
Relative Frequency
(22)
|
CF < (23)
|
CF > (24)
|
75 79
|
7
|
|
|
|
|
70 74
|
18
|
|
|
|
|
65 69
|
24
|
|
|
|
|
60 - 64
|
15
|
|
|
|
|
55 59
|
6
|
|
|
|
|
i =
|
(25) n =
|
|
|
|
|
The following sets of data are the possible answers for what is asked in the above problem.
A. 7, 25, 49, 64, 70 B. 57, 62, 67, 72, 77 C. 1/10, 9/ 35, 12/35, 3/14, 3/35
D. 77, 72, 67, 62, 57. E. 70, 63, 45, 21, 6 F. 6/70, 15/70, 24/70, 18/70, 7/ 70
G. 70 H. 50 I. 70, 64, 49, 25, 7
21. ___ 22. ____ 23. ____ 24. _____ 25. ______
26. A teacher wishes to know whether the males in his class have more favorable attitudes toward birth control than do the females. All students are given questionnaire about birth control and the mean responses of the males and females are compared.
This is an example of :
a. descriptive Statistic c. sampling procedure
b. inferential statistics d. census
27. Half of a list of data is always below the mean. This statement is
a. True b. false.
28. which of the following descriptive measures will be appropriate if one wants to determine which of the two sets of data has more variability when these sets of data have different measurement units.
a. variance b. standard deviation c. coefficient of variation d. quartile deviation
29. which of the following is the ultimate end of Statistics?
a. evaluation b. analysis c. decision making d. assessment.
30. It could be thought of as the study of uncertainty in all kinds of phenomena.
a. probability b. statistics c. regression analysis d. prediction Test II computation. Software like Mega Stat may be used for this exercise.
1. the following are the admission test scores of the randomly chosen incoming freshmen.
85
|
92
|
100
|
104
|
110
|
119
|
125
|
86
|
95
|
102
|
106
|
112
|
120
|
130
|
90
|
98
|
103
|
107
|
115
|
124
|
|
a. Determine the mean, median and mode.
b. Determine the first quartile, second quartile and the third quartile.
c. Find the variance, standard deviation, and the coefficient of variation
d. Determine how skewed the data.
e. What are the scores to be considered within the descriptive rating "good "if they are within 1 standard deviation away from the mean.