MATH30 - Long Quiz #1 - 3rd TERM - 20112012



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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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