I.
MULTIPLE CHOICE
The
following statements are vital in strengthening your discernment on aspects of
decision making through the process of PROBABILITY
AND STATISTICS. Choose the best answer among the choices given. Write the
letter of your final answers in your test booklet. (2 points each)
1. If
a data set consisting of 130 scores has a distribution that is bell-shaped,
approximately how many of the data values will fall within one standard
deviation from the mean?
(a) 65 (b)
68 (c) 88 (d) 95
2. When
data are categorized, the most appropriate measure of central tendency is
__________.
(a) mean (b) median (c) midrange (d) mode
3. When
the mean = median = mode, which of the following statements is true?
(a) range
= 1 (b)
skewness = 0 (c) variance = 1 (d) standard deviation = 1
4. A
pigeon fancier is recording the times taken by his 99 birds to fly home. He
falls asleep after recording the time for bird number 97. Which of the
following central tendencies should he calculate?
(a) mean (b) median (c) midrange (d) mode
5. The
number of absences per term a student incurs is an example of what type of
data?
(a) qualitative (b)
nominal (c) discrete (d) continuous
6. Data
that can be classified according to color are measured on what scale?
(a) ratio (b) ordinal (c) nominal (d) interval
7. Which
of the following is an example of a continuous quantitative data?
(a) number
of ounces in a pound (c)
number of homes in each of 30 streets
(b) number
of sq. inches in a sq. feet (d) number of sq. feet in each of 20
houses
8. Which
level(s) of measurement is (are) considered quantitative?
I.
Interval II.
Nominal III. Ordinal IV. Ratio
(a)
both I and II (b) I, II and III (c)
I, III and IV (d) all of the
above
9. The
following are continuous data except:
(a) the
time and speed it takes to drive to work
(b) the
number of cars stolen each week in Metro Manila
(c) the
homicide rate of Quezon City
(d) weekend
box-office receipts for new movie releases
10. A
certain professor is interested of knowing the place of residence of his
students. He then classified them as rural, suburban, and urban. The most
appropriate measure of central tendency is __________.
(a)
mean (b) median (c) mode (d)
midrange
II.
PROBLEM SOLVING
The decision making process can be
applied in a variety of everyday situations and across most academic
disciplines. In the following applications, you are going to execute what you
relatively understood from the fundamental analysis.
1. The
following scores of Statistics students were recorded as 68, 100, 76, 87, 85,
80, 78, 83, 86, and 90. Find the following:
(a) mean;
(b) median;
(c) mode;
(d) midrange;
(e) variance;
(f) standard
deviation;
(g) coefficient
of skewness;
(h) measure
of kurtosis;
(i) Q2;
(j) P75;
(k) The
mean is sensitive to extreme scores but the trimmed mean is designed to be much
less sensitive to them. To find the 10% trimmed mean for a data set, first
arrange the data in order, then calculate the mean of the scores upon deleting
the upper and lower 10% of the scores. Solve for the trimmed mean of the scores
given by the Statistics students.
(30 points)
2. Find
out the frequencies f1 and
f2 of the following data
given that the median is 278.17:
WAGES
|
NO. OF WORKERS
|
250 – 259
|
8
|
260 – 269
|
16
|
270 – 279
|
f1
|
280 – 289
|
34
|
290 – 299
|
f2
|
300 – 309
|
2
|
TOTAL FREQUENCY = 100
|
(20
points)
3.
Four married couples have bought 8
seats in the same row for a concert. In how many different ways can they be
seated (a) with no restrictions? (b) if each couple is to sit together?
(c) if all the men sit together to the
right of all the women?
(10
points)
4.
In how
many ways can a person draw two cards successively from an ordinary deck of 52
cards if (a) the first card is not a ten of spades or an ace? (b) the cards are
of different suits?
(10 points)
5.
In how
many ways can 8 persons be seated in a row if (a) there are no restrictions?
(b) if two persons insist on following each other? (c) if two persons refuse to
sit beside each other?
(10
points)
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