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QUIZ

1. The document contains a 30-question quiz on topics in statistics including probability, probability distributions, measures of central tendency, time series analysis, and coefficients of skewness. 2. Questions cover topics such as valid representations of probability, definitions of trend and seasonal variations in time series analysis, properties of binomial and Poisson distributions, and formulas for correlation coefficients and coefficients of regression. 3. Answer options given for each multiple-choice question require understanding of key statistical concepts in order to select the correct response.

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Ankit Agrawal
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168 views5 pages

QUIZ

1. The document contains a 30-question quiz on topics in statistics including probability, probability distributions, measures of central tendency, time series analysis, and coefficients of skewness. 2. Questions cover topics such as valid representations of probability, definitions of trend and seasonal variations in time series analysis, properties of binomial and Poisson distributions, and formulas for correlation coefficients and coefficients of regression. 3. Answer options given for each multiple-choice question require understanding of key statistical concepts in order to select the correct response.

Uploaded by

Ankit Agrawal
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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QUIZ-III

1.Which of the following is not a valid representation of a probability?

a) 35%
b) 0
c) 1.04
d) 3/8

2. A pattern of variation of a time series that repeats every year is called:

a) Cyclical
b) Seasonal
c) Trend
d) Secular

3. Which of the following is not an example of seasonal variation?

a) sales of snow blowers


b) plant and flower sales
c) use of electricity
d) sales of suntan oil
e) annual earnings for a large corporation

4. The number of tally sheet count for each value or a group is called:

a) Class limit
b) Class width
c) Class boundary
d) Frequency

5.The variance for binomial distribution is

(a)np (b) √ np (c)npq (d) √ npq


6.The Spearman’s Rank correlation coefficient is

6 ∑ d2
a) r =1−
n(n2 −1)

b) r =1−
∑ d2
6 n(n2 −1)
2∑ d2
c) r =1−
n(n2 −1)
3∑ d2
d) r =1−
n(n2 −1)

7.Kelly’s coefficient of skewness is

P 10+ P90 −2 P50


a)
P90 −P 10
P 10+ P90 −2 P50
b)
P90−P 20
P 10+ P90 −2 P50
c)
P90 −P 30
P 10+ P90 −2 P50
d)
P90−P 40

8.Relation between coefficient of correlation and coefficients of


regression

a) r =√ bxy + b yx
b) r =√ bxy . b yx
c) r =√ bxy −b yx
b xy
d) r =
√ b yx

9. Regression coefficient y on x is

σx
a) b xy=r
σy
σy
b) b yx =r
σx
σy
c) b xy=r
σx
σx
d) b yx =r
σy

10. A trend in a time series is a steady tendency to increase or to


decrease over time.(True/False)

11. Sales of air conditioners follow a seasonal variation. (True/False)


12. In a time series analysis it is often important to analyze seasonal
variations. (True/False)

13. If mean is 23 and mode is 27,then median


is…………………………………………

14. The time series component that indicates a steady increase or


decrease over time is known as a ____________.

15. A pattern in a times-series model that occurs over a duration of more


than a year is called a ___________ variation.

16. Sales of textbooks at the local university bookstore would be


considered an example of which time series component?

17. Which two components are smoothed out by the moving average?

18. If n and p are the parameters of a binomial distribution the standard


deviation is ………………….

19.The mean ,median and mode of a normal distribution are


……………………………

20. Multiplicative law of probability is

a) P(AB) = P(A) × P(B)


b) P(AB) = P(1/A) × P(1/B)
c) P(A/B) = P(A) × P(B)
d) P(1/AB) = P(A) × P(B)

21. Condition for Leptokurtic curve is

a) β 2> 3
b) β 2=3
c) β 2> 3
d) β 2=0

22.Bowley’s coefficient of skewness is

Q 3+ Q1−2 Median
a)
Q 3−Q 1
Q3+ Q1−3 Median
b)
Q3−Q1
Q 3+ Q1−2 Median
c)
Q 3 +Q 1
Q3+ Q1−3 Median
d)
Q3 +Q 1

23.Quartile coefficient of skewness is

a) Karl Pearson’s coefficient of skewness


b) Bowley’s coefficient of skewness
c) Kelly’s coefficient of skewness
d) Measures based on moments

24. For a negatively skewed curve

a) Mean <Median <Mode


b) Mean= Median =Mode
c) Mode <Median< Mean
d) Mean≤ Median≥ Mode

25. The binomial distribution is symmetric when:

a) P< 0.5
b) P> 0.5
c) P= 0.5
d) P has any value

e−5 (5)2
26. For a Poisson distribution P ( x ) = , the mean value is
2!

(a) 2 (b)5 (c) 10 (d)


None of these

27.For a normal distribution if µ = 30, then its mode value is

(a)15 (b)30 (c)60 (d)


None of these

28. Conditional law of probability is

a) P ( BA )=P ( AᴖB ) /P ( B )
A
b) P ( )=P ( AᴖB ) /P ( A )
B
c) P ( BA )=P ( AᴖB ) /P ( AB )
A
d) P ( )=P ( AᴖB ) /P ( AᴗB )
B

29. The total probability is

a) =1
b) <1
c) <1
d) =0

30.Which one is correct for Karl Pearson’s coefficient of skewness (S K)

a) -1≤ SK ≤ 1
b) 0< SK <∞
c) -∞< SK <0
d) -∞< SK <∞

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