Find out which one is wrong?
A. Skewness is absent when the values of mean, median and mode coincide
B. Data when plotted on a graph paper give normal bell shaped form
C. Sum of the positive deviations from the median is equal to the sum of negative deviation
D. Quartiles are equidistant from median
E. Frequencies are not equally distributed at points of equal deviation from the mode
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Which one of the following is not the correct statement regarding sampling distribution of mean?
A. Sampling distribution of mean is normally distributed for large sized samples
B. When the population is not normally distributed, then the sample distribution of mean will be in the form of normal distribution by taking small sample size
C. 't' distribution is not normally distributed
D. Mean of the sampling distribution of mean is equal to the parametric value of mean
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Which of the following tests can be applied to ordinal scale data?
1. Chi-square test
2. 'Z' test
3. Kruskal-Wallis test
4. Wilcoxon Mann-Whitney test
A. 1, 2 and 3
B. 2, 4 and 3
C. 1, 3 and 4
D. 1, 2 and 4
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The method of analysis is used-
A. Arithmetic mean
B. Median
C. Mode
D. Harmonic mean
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The degree of peaked or flatness of a unimodal distribution is called:
A. Skewness
B. Symmetry
C. Dispersion
D. Kurtosis
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Which of the following statement is correct?
i. In the creation of index only representative times are selected
ii. If the price of wheat increases by 50% and the price of salt decreases by 50%, the CPI will remain unchanged
A. i
B. ii
C. Both i and ii
D. None of the above
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Company A produces 10% defective products, Company B produces 20% defective products and C produces 5% defective products. If choosing a company is an equally likely event, then find the probability that the product chosen is defective.
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When variations in the values of two variables have a constant ratio, there will be:
A. Zero correlation
B. Linear correlation
C. Non-linear correlation
D. None of these
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Which of the following is a data?
i. The weight of Ram is 80 kg while that of Shyam and Mohan is 85 and 65 kg respectively
ii. Hari's age is 55 years
iii. A sold less than B, B sold more than C
iv. ram's height is 5'6", Shyam's weight is 70 kg and Sohan's age is 40 years
Select your answer from the options given below
A. i
B. i and iv
C. ii and iv
D. iii
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In case of positively skewed distribution, the extreme values lie in the:
A. Middle
B. Left tail
C. Right tail
D. Anywhere
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Which of the following is not a correct statement about a probability?
A. It must have a value between 0 and 1
B. It can be reported as a decimal or a fraction
C. A value near 0 means that the event is not likely to occur/happens
D. It is the collection of several experiments
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If for a given data, mode = 5, median = 15 and mean = 20, it means that the sample data is-
A. skewed to the right
B. skewed to the left
C. symmetric
D. neigher symmetric nor skewed
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Assertion (A) If a random sample of 'n' observations is taken from a binomial population with parameter as p, the sampling distributions will be a standard deviation which is normally distributed.
Reason (R) Standard deviation of binomial distribution
σ P = n pq , where q = 1 - p
A. (A) is true, but (R) is false
B. (A) is false, but (R) is true
C. Both are false
D. Both are true
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In a frequency distribution, Bowley's coefficient of skewness is 0.6, if the sum of two quartiles is 100 and median is 38, the value of third quartile will be
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Which one of the following formulae is used to calculate probable error of correlation coincident between two variables of 'n' pairs of observations?
A. B. C. 0.675 [ n 1 − r 2 ]
D. 0.5758 [ n 1 − r 2 ]
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If the third moment about mean is zero, then the distribution is:
A. Positively skewed
B. Negatively skewed
C. Symmetrical
D. Mesokurtic
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In which approach to probability the outcomes are equally likely to occur?
A. Classical Probability
B. Subjective Probability
C. Relative Frequency
D. Independent
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The mean deviation is minimal-
A. from the mean
B. from the median
C. from the mode
D. from 1st quartile
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In case of . . . . . . . . distribution mean, median, mode coincide.
A. symmetrical
B. asymmetrical
C. moderately asymmetrical
D. None of the above
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According to central limit theorem, if the sample size increases, distribution is said to be . . . . . . . .
A. binomial distribution
B. normal distribution
C. posian distribution
D. None of these
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