The numerical value of the standard deviation can never be negative. The positive square root of the mean of the squares of the deviations of observations from their mean is called:
A. Variance
B. Range
C. Standard deviation
D. Coefficient of variation
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Which of the statement(s) are true about 'measures of dispersion'?
1.The divergence of a set of observation
2. The concentration of a set of observation
A. Only 1
B. Only 2
C. Both 1 and 2
D. None of the above
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Primary data collected through direct personal interview is suitable for:
A. Intensive study
B. Extensive study
C. Both for intensive and for extensive study
D. Suitable only when third parties called witness capable of supplying necessary information
E. When telephone is used for a series of question raised by the investigator
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The first three moments of a distribution about the mean X are 1, 4 and 0. The distribution is:
A. Symmetrical
B. Skewed to the left
C. Skewed to the right
D. Normal
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Mode is a positional average which is used to deal with which type of data?
1. Quantitative data
2. Qualitative data
A. Only 1
B. Only 2
C. Both 1 and 2
D. None of the above
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Assertion (A) The two lines of regression can never be parallel.
Reason (R) The two lines of regression always pass through common point (x · y). Therefore, they can never be parallel.
A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. (A) is true, but (R) is false
C. (R) is true, but (A) is false
D. Both (A) and (R) are false
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Statistical mean, which is not affected by extreme values
A. Median
B. Arithmetic mean
C. Harmonic mean
D. Geometric mean
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The farther the two regression lines cut each other
A. the greater will be the degree of correlation
B. the lesser will be degree of correlation
C. does not really matter
D. None of them
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Which of the following is correct in a negatively skewed distribution?
A. The arithmetic mean is greater than the mode
B. The arithmetic mean is greater than the median
C. (Q3 - Median) = (Median - Q1)
D. (Q3 - Median) < (Median - Q1)
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Which of the following conditions need to be fulfilled for applicability of T- test?
A. The sample size is less than 30
B. The population standard deviation must be unknown
C. Both A and B
D. Neither A nor B
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Statistical average has significance due to following sequence.
1. To present huge mass of data ina summarised form.
2. To facilitate comparison of different sets of data.
3. To help decision-making.
Select the correct answer using the options given below
A. 1, 2, 3
B. 2, 3, 1
C. 2, 1, 3
D. 3, 2, 1
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We call the classification of employees on the basis of education and attributes
A. Two-way classification or bidirectional classification
B. Multivariate classification or multidirectional classification
C. One-way classification
D. Time series
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If unexplained variation between variables X and Y is 36%, what is the coefficient of correlation between the variables?
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Consider the following statements.
Statement-I: When a null hypothesis gets rejected in statistical hypothesis testing, it is known as II type error in hypothesis testing.
Statement-II: When a sample is small sized and parametric value of the standard deviation is not known, z-test is the most appropriate test for hypothesis testing.
A. Both statements are correct
B. Both statements are incorrect
C. Statement-I is correct while starement-II is incorrect
D. Statement-I is incorrect while sratement-II is correct
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Goodness of fit of a distribution is tested by:
A. T test
B. F-test
C. z-test
D. Chi-square test
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The most important factors causing seasonal variations are
A. growth of population
B. technological improvements
C. weather and social customs
D. change in fashions
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Regression model is a statistical framework for developing a mathematical equation that describes how:
A. one explanatory and one or more response variables are related
B. several explanatory and several response variables response are related
C. one response and one or more explanatory variables are related
D. all of these are correct
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Which of the following statement(s) is/are correct?
A. When n is small, the T-distribution is far from normal
B. When n is infinite, it is identical with normal distribution
C. Both A and B
D. Neither A nor B
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If the number of observations is such that nx ny is large (n > 20), a normal approximation can be used with
A. μ μ = n y n x
B. μ u = n x n y
C. μ μ = 2 n x . n y
D. μ u = 4 n x . n y
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Positive perfect correlation is
A. +1
B. -1
C. 0
D. None of these
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