Homework Statistics: MCQs and Definitions

Homework Statistics
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1 C 26 C
2 C 27 C
3 D 28 C
4 D 29 D
5 12 30
6 D 31 A
7 D 32 B
8 33 C
9 C 34 A
10 E 35 D
11 A 36 B
12 C 37 B
13 C 38 C
14 D 39 B
15 C 40 A
16 A 41 D
17 D 42 B
18 A 43 A
19 B 44 C
20 B 45 D
21 D 46 A
22 D 47 B
23 A 48 D
24 D 49 D
25 C 50 A
MCQ OPTIONS
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1. Multivariate Analysis is related to more than one outcome variables. Hence, relationship
between types of undergraduate major and positions held in business is the appropriate
example of multivariate analysis. (c)
2. Mode is the most frequent attribute in either grouped or ungrouped data. (c)
3. Standard deviation measures dispersion of a data set. Zero standard deviation is also
possible if the observations are identical or homogeneous in nature. Hence, (d) is the
correct answer.
4. For categorical data with two levels, mode is the best measure of central tendency. (d)
5. Arranging the data in ascending order, we get the sequence: 7, 8, 9, 11, 12, 13, 14, 15, 17,
where number of observations =9 (odd). Hence, median is the ( 9+1
2 ) th=5 th
observation
= 12
6. The mean number of faculties in a department will be
( 7+8+ 9+11+12+13+14 +15+17
9 )=11. 78
, (d)
7. To test whether blondes have more fun than non-blondes, we need to compare column
wise and the required percentages would be calculated row wise (across) (d)
8. S
9. Measures of dispersion, such as standard deviation or mean deviation signify the spread
of the data from mean position. (c)
10. The percentage of males arrested for violent crime was 20%. But, there was not enough
information for finding percentage of males committing violent crime.
11. Concerning the data presented in question 10, cases were divided by sex, and the
percentages were done on the columns. Hence, row wise comparison was possible. It was
possible to say that males or females committed more properly crimes than violent
crimes. But, column wise comparison was not possible. (a)
12. Mean has restriction for outlier values, mode can not a meaning full attribute in
continuous data. But, median can be used for any level of measurement. (c)
13. The mean was ( 18+33+ 7+32+6+5+ 4
7 ) =15
,(C)
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14. Mean, median both are good measures of central tendency for continuous data. Standard
deviation can measure spread of the data for continuous type of data. (d)
15. The 68% confidence interval for the sample mean with sample standard error is
calculated as x
−
±tcrit∗SE=22±1 .6604∗5=[13 .698 ,30 . 302] . Hence, most suitable choice
was option (C)
16. In Descriptive Statistics, we organize and represent data in suitable format. (a)
17. A population is a complete set of individuals. A Sample is a sub set of individuals. (d)
18. Parameter and statistic are related to population and sample. But, any characteristic of an
environment or object can be measured by a variable. (a)
19. From definition, Statistic measures characteristic of a sample. (b)
20. Total frequency = 1+3+5+3+ 5+5+1+2=25 from the histogram. Now, schools below
15% acceptance rate = 1. Hence, percentage =
1
25 =0 . 04=4 % (b)
21. Number of schools over 30% acceptance = 5+5+1+2=13 from histogram. (d)
22. For skewed distribution median is the best choice as measure of central tendency. The
aim was to show that baseball players were overpaid, and for this purpose neither mean,
nor mode would be appropriate. (d)
23. Total frequency = 667, and the median would be at
667
2 =333 .5 th observation which
corresponds to the next higher value. In this case it was 334 corresponding to age 20. (a)
Age Students Cumulative Freq
18 14 14
19 120 134
20 200 334
21 200 534
22 90 624
23 30 654
24 10 664
25 2 666
32 1 667 N
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