Elements of Statistics
MCQs
For more Mcqs in this Subject click here:
https://paidforarticles.in/top-mcqs-elements-of-statistics-3-582305
1. Flatness or Preakness of curve can be measured by ________.
A. Skewness
B. Kurtosis
C. Average
D. Range
2. For the series with observation 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then coefficient of range _______.
A. 48
B 24
C. 0.75
D. 0.50
3. For 15 observations if mean and variance of the series is 450 and 20 respectively then sum of all observation is ________.
A. 30
B. 6750
C. 300
D. 3375
4. For the series with observation 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then quartile deviation is _______.
A. 20
B. 8
C. 10
D. 22
5. For the series with observation 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then quartile range is _______.
A. 20
B. 8
C. 10
D. 22
6. Mean = ? (3 Median – Mode )
A. 1/2
B. 1/3
C. 3
D. 2
7. Mean – Mode = ? (Mean – Median)
A. 1/2
B. 1/3
C. 3
D. 2
8. Median = Mode + ?(Mean – Median)
A. 1/2
B. 1/3
C. 3
D. 2
9. Mode = Mean - ? (Mean – Median)
A. 1/2
B. 1/3
C. 3
D. 2/3
10. For 10 observations if mean and variance of the series is 16 and 20 respectively then sum of square of all observation is ________.
A. 2760
B. 4000
C. 3600
D. 4160
11. Measure of dispersion _________ is based on two extreme values of the series.
A. standard deviation
B. mean deviation
C. quartile deviation
D. range
12. Measure of dispersion _________ is based on average of absolute deviation of observation from average value of the series.
A. standard deviation
B. mean deviation
C. quartile deviation
D. range
13. Measure of dispersion _________ is based on average of squared deviation of observation from the average value of the series.
A. standard deviation
B. mean deviation
C. quartile deviation
D. range
14. For the given set of observation 1, 4, 4, 4, and 7 , it can be said that the ______.
A. mean > median > mode
B. mean = median = mode
C. mean ≠ median ≠ mode
D. mean < median < mode
15. The measure of central tendency which can be graphically located with the help of Histogram is ________.
A. mode
B. median
C. mean
D. quartile
16. Relative measures of Dispersion are __________.
A. Free from unit of measurements
B. Ratio of absolute measure of dispersion and location measure
C. Used for comparison
D. All of the above
17. The mode and range of 20 observations is 30 and 30. If 5 is added to each observation then the mode and range is _________.
A. 30, 30
B. 35, 30
C. 30, 35
D. 35, 35
18. From the following which is not absolute measure of dispersion?
A. Mean deviation
B. Standard deviation
C. Range
D. Coefficient of Variation
19. Variance of first 15 natural number is
A. 56/3
B. 8
C. 18
D. none
20. If values of a variable X are 5, 5, 5, 5, 5, 5 then its standard deviation is _____.
A. 1
B. zero
C. 5
D. 30
21. Skewness is present in the distribution if ________.
A. mean ≠ median ≠ mode
B. Q3 − Q2 = Q2 − Q1
C. mean = median = mode
D. None
22. For open-end frequency distribution, the appropriate measure of skewness is __________.
A. Karl Pearson’s coefficient of skewness
B. Bowley’s coefficient of skewness
C. Yule’s coefficient of skewness
D. Moment base coefficient of skewness
23. Moments about an arbitrary value are known as _______________.
A. raw moment
B. central moment
C. moments about mean
D. none
24. The sum of deviation of observation from their respective mean is _______________.
A. Zero
B. one
C. frequency(f)
D. total frequency(N)
25. First Central Moment is always _______.
A. 1
B. 2
C. 3
D. zero
26. If the second central moment is 16, what is the standard deviation of that distribution?
A. 16
B. 8
C. 4
D. 2
27. For arbitrary value 5, if μ'1= 3 then the mean of the distribution is _______.
A. 5
B. 3
C. 8
D. 10
28. The value of third central moment is −0.5 then the distribution is said to be ________.
A. positively skewed
B. negatively skewed
C. symmetric
D. normal
29. If Second and Fourth Central Moments of a distribution are 2 and 16 respectively then the distribution is said to be ___________.
A. meso kurtic
B. lepto kurtic
C. platy kurtic
D. normal
30. Skewness measures _________________.
A. lack of symmetry
B. peakedness of the curve
C. location of data
D. range of the data
31. If Second and Fourth Central Moments of a distribution are 4 and 16 respectively then the distribution is said to be ___________.
A. meso kurtic
B. lepto kurtic
C. platy kurtic
D. normal
32. ____________ is also known normal curve.
A. meso kurtic
B. lepto kurtic
C. platy kurtic
D. Ogive curve
33. If an observation in a series is negative, its G.M. will _____.
A. negative
B. undefined
C. 0
D. none of the above
34. In a moderately asymmetrical distribution, the values of mode and median are 20 and 24 respectively. Then the value of mean is ______.
A. 20
B. 24
C. 28
D. 26
35. A. M. and H. M of two observations is 25 and 9 respectively then G.M. is ______.
A. 15
B. 20
C. 34
D. 17
36. Sum of square of deviation of observation is minimum if it is taken from __________.
A. median
B. 0
C. mode
D. mean
37. A. M = G. M. = H.M if _______.
A. all observation are equal.
B. atleast one observation is one.
C. only variable as two observations.
D. all observations are in ascending order,
38. The mean of 10 observations is 20 and median is 15. If 5 is added to each observation, the new mean is ______ and Median is ________.
A. 25, 20
B. 25, 15
C. 20, 20
D. 20, 15
39. The mean of 10 observations is 20 and standard deviation is 15. If 5 is added to each observation, the new mean is ______ and the standard deviation is ________.
A. 25, 20
B. 25, 15
C. 20, 20
D. 20, 15
40. The range of 20 observations is 30. If each observation is multiplied by 2 then the range is ________.
A. 15
B. 60
C. 30
D. 10
You must be logged in to post a comment.