Elements of Statistics
MCQs
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1. The mode and range of 20 observations is 30 and 30. If each observation is multiplied by 2 then the range is _________.
A. 30, 30
B. 60, 60
C. 30, 60
D. 60, 30
2. If for a distribution coefficient of kurtosis y2 < 0 the frequency curve is __________.
A. meso kurtic
B. lepto kurtic
C. platy kurtic
D. normal
3. If for a distribution coefficient of kurtosis y2 = 0 the frequency curve is __________.
A. meso kurtic
B. lepto kurtic
C. platy kurtic
D. ogive curve
4. If for a distribution y1 < 0 and y2 > 0 then frequency curve is _______ skewed and _______.
A. negative, meso kurtic
B. negative, lepto kurtic
C. negative, platy kurtic
D. negative, normal
5. If the first quartile is 142 and the semi-inter quartile range is 18, then Upper quartile is __________.
A. 160
B. 151
C. 178
D. 124
6. In a distribution the difference of the lower and upper quartiles is 15 and their sum is 35. The median is 20, then coefficient of skewness is ________.
A. 0.33
B. 1
C. -1
D. -0.33
7. The first two moment of distribution about origin are 1, 4 then mean and standard deviation are ______ and ______.
A. 3, 4
B. 1, 2
C. 3, 1.732
D. 1, 1.732
8. For distribution, the mean is 10, variance is 16 and β2 is 2 then fourth central moment is _________.
A. 1024
B. 64
C. 256
D. 512
9. For distribution, the mean is 10, variance is 9, β1 is +1 then third central moment is _______.
A. 810
B. 900
C. 27
D. 729
10. Average rate of growth of population per decade can be obtained by _________.
A. arithmetic mean
B. geometric mean
C. harmonic mean
D. median
11. Average speed of a typist can be obtained by __________.
A. arithmetic mean
B. geometric mean
C. harmonic mean
D. median
12. ______cannot be used if one of the observation is zero.
A. Mean
B. Median
C. Range
D. Geometric mean
13. If 25% of items in a distribution are less than 10 and 25% are more than 40, then the quartile deviation is _________.
A. 1
B. 40
C. 10
D. 15
14. Bowley’s coefficient of skewness lies between _________.
A. -1 and +1
B. 0 and +1
C. -1 and +3
D. -3 and +3
15. For arbitrary value, first raw moment is 7 and mean of the distribution is 10.
A. 5
B. 3
C. 7
D. 17
16. The mean of 9 observations is 50 Latter one observation 60 is added. The new mean is ________.
A. 50
B. 60
C. 51
D. 61
17. The mean of 50 observations is 10 and the sum of their squares is 6,000. The variance of the data is _______.
A. 12
B. 20
C. 4.47
D. 10
18. The coefficient of variance is 15 % and the mean of series is 40 then standard deviation is _________.
A. 3
B. 37.5
C. 4
D. 6
19. ___________ depends on change of origin and scale both.
A. Arithmetic mean
B. Standard deviation
C. Moments
D. Range
20. The arithmetic mean of the first 195 natural number is ___________.
A. 105
B. 98
C. 91
D. 100
21. __________ measure of dispersion is least affected by presence of extreme values.
A. Range
B. Mean deviation
C. Standard deviation
D. Quartile deviation
22. ___________ measure is based on only the central fifty percent of the observations.
A. Standard deviation
B. Quartile deviation
C. Mean deviation
D. Range
23. The most commonly used measure of dispersion is ____________.
A. Standard deviation
B. Quartile deviation
C. Mean deviation
D. Range
24. ___________ measure of dispersion is capable of further mathematical properties.
A. Standard deviation
B. Quartile deviation
C. Mean deviation
D. Range
25. If the profits of a company remains the same for the last ten months, then the standard deviation of profits for these ten months would be?
A. Positive
B. Negative
C. Zero
D. One
26. If the SD of the 1st n natural numbers is 2, then the value of n must be _______.
A. 2
B. 7
C. 6
D. 5
27. For the two groups with 30 and 20 observations with respective mean 55 and 60, the combined mean will be __________.
A. 56
B. 57
C. 58
D. 59
28. Which of the following statements is wrong?
A. Mean is rigidly defined
B. Mean is not affected due to sampling fluctuations
C. Mean has some mathematical properties
D. Mean is easy to compute
29. In case of an even number of observations which of the following is median?
A. Any of the two middle-most value
B. The simple average of two middle most values
C. The weighted average of these two middle values
D. The difference of two middle most value
30. ________ of the following is not uniquely defined.
A. Mean
B. Median
C. Mode
D. Geometric mean
31. Weighted averages are considered when ________.
A. The data are not classified
B. The data are put in the form of grouped frequency distribution
C. All the observations are not of equal importance
D. Both A and C
32. When a firm registers both profits and losses, __________ measure of central tendency cannot be considered?
A. AM
B. GM
C. Median
D. Mode
33. What is the value of the first quartile for observations 15, 18, 10, 20, 23, 28, 12?
A. 10
B. 12
C. 12.75
D. 15
34. The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 , 12 is _________.
A. 13
B. 20
C. 11
D. 12
35. If the AM and GM for 10 observations are both 15, then the value of HM is
A. Less than 15
B. More than 15
C. 15
D. Cannot be determined
36. If the frequency curve has longer tail to right the distribution is known as ________ skewed distribution.
A. positively
B. negatively
C. zero
D. normal
37. If the frequency curve has longer tail to left the distribution is known as ________ skewed distribution.
A. positively
B. negatively
C. zero
D. normal
38. For the __________ distribution, curve falls evenly on both sides from the highest peak.
A. positively
B. negatively
C. symmetric
D. normal
39. Coefficient of Skewness is positive for distribution of height of plant implies ___________.
A. more number of plants having lower height
B. more number of plants having higher
height
C. plants are evenly distributed over heights
D. all plants of same height
40. Coefficient of Skewness is negative implies ___________ of the variable.
A. more concentration on lower values
B. more concentration on higher values
C. more concentration on middle most value
D. more concentration on all values
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