Business Statistics MCQs

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If Y = aX ± b, where a and b are any two constants and a ∦ 0, then the quartile deviation of Y values is equal to:






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For a symmetrical distribution:






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The scatter in a series of values about the average is called:






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The measures of dispersion can never be:






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Which of the following is an absolute measure of dispersion?






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If the observations of a variable X are, -4, -20, -30, -44 and -36, then the value of the range will be:






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If the maximum value in a series is 25 and its range is 15, the maximum value of the series is:






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Mean deviation computed from a set of data is always:






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Which measure of dispersion has a different unit other than the unit of measurement of values:






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The positive square root of the mean of the squares of the deviations of observations from their mean is called:






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S.D(X) = 6 and S.D(Y) = 8. If X and Yare independent random variables, then S.D(X-Y) is:






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The ratio of the standard deviation to the arithmetic mean expressed as a percentage is called:






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To compare the variation of two or more than two series, we use






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If standard deviation of the values 2, 4, 6, 8 is 2.236, then standard deviation of the values 4, 8,12, 16 is:






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The moments about mean are called:






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Moment ratios β1 and β2 are:






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If the third moment about mean is zero, then the distribution is:






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If mean=25, median=30 and standard deviation=15, the distribution will be:






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In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to:






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The degree of peaked ness or flatness of a uni-model distribution is called:






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In a mesokurtic or normal distribution, 4 = 243. The standard deviation is:






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The measurements of spread or scatter of the individual values around the central point is called:






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If all the scores on examination cluster around the mean, the dispersion is said to be:






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The range of the scores 29, 3, 143, 27, 99 is:






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The sum of absolute deviations is minimum if these deviations are taken from the:






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Which of the following measures of dispersion is expressed in the same units as the units of observation?






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The standard deviation is independent of:






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Which of the following statements is correct?






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In a set of observations the variance is 50. All the observations are increased by 100%. The variance of the increased observations will become:






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All odd order moments about mean in a symmetrical distribution are:






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The first three moments of a distribution about the mean X are 1, 4 and 0. The distribution is:






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For a positively skewed distribution, mean is always:






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The second and fourth moments about mean are 4 and 48 respectively, then the distribution is:






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The measures used to calculate the variation present among the observations in the unit of the variable is called:






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The measure of dispersion which uses only two observations is called:






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Half of the difference between upper and lower quartiles is called:






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The mean deviation of the scores 12, 15, 18 is:






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The variance is zero only if all observations are the:






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The standard deviation of -5, -5, -5, -5, 5 is:






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Bowley’s coefficient of skewness lies between:






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If there are many extreme scores on all examination, the dispersion is:






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In quality control of manufactured items, the most common measure of dispersion is:






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If Y = aX ± b, where a and b are any two numbers and a ∦ 0, then the range of Y values will be:






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Which measure of dispersion can be computed in case of open-end classes?






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If Y = aX ± b, where a and b are any two numbers but a ∦ 0, then M.D(Y) is equal to:






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If the dispersion is small, the standard deviation is:






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The standard deviation one distribution dividedly the mean of the distribution and expressing in percentage is called:






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If Y = aX + b, where a and b are any two numbers but a ∦ 0, then S.D(Y) is equal to:






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Standard deviation is always calculated from:






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The variance of 19, 21, 23, 25 and 27 is 8. The variance of 14, 16, 18, 20 and 22 is:






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Var(X) = 4 and Var(Y) =9. If X and Y are independent random variable then Var(2X + Y) is:






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The moments about origin are called:






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The first moment about X = 0 of a distribution is 12.08. The mean is:






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In a symmetrical distribution, the coefficient of skewness will be:






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If mean=20, median=16 and standard deviation=2, then coefficient of skewness is:






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If the sum of deviations from median is not zero, then a distribution will be:






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The lower and upper quartiles of a distribution are 80 and 120 respectively, while median is 100. The shape of the distribution is:






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The value of β2 can be:






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The degree to which numerical data tend to spread about an average value called:






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Given below the four sets of observations. Which set has the minimum variation?






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The range of the values -5, -8, -10, 0, 6, 10 is:






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The mean deviation is minimum when deviations are taken from:






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The sum of squares of the deviations is minimum, when deviations are taken from:






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The value of standard deviation changes by a change of:






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For two independent variables X and Y if S.D(X) = 1 and S.D(Y) = 3, then Var(3X - Y) is equal to:






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Which of the following statements is false?






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The mean of an examination is 69, the median is 68, the mode is 67, and the standard deviation is 3. The measures of variation for this examination is...






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If X̄ = Rs.20, S= Rs.10, then coefficient of variation is:






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The second moment about arithmetic mean is 16, the standard deviation will be:






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First two moments about the value 2 of a variable are 1 and 16. The variance will be:






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Departure from symmetry is called:






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If mean=50, mode=40 and standard deviation=5, the distribution is:






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In case of positively skewed distribution, the extreme values lie in the:






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Which of the following is correct in a negatively skewed distribution?






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If Q3=20 and Q1=10, the coefficient of quartile deviation is:






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The average of squared deviations from mean is called:






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Which of the following is a unit free quantity:






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Three factories A, B, C have 100, 200 and 300 workers respectively. The mean of the wages is the same in the three factories. Which of the following s...






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Which of the following measures of dispersion is independent of the units employed?






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The first and second moments about arbitrary constant are -2 and 13 respectively, The standard deviation will be:






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If the third central is negative, the distribution will be:






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The lack of uniformity or symmetry is called:






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If mean=10, median=8 and standard deviation=6, then coefficient of skewness is:






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In a symmetrical distribution Q1 = 20 and median= 30. The value of Q3 is:






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If there are ten values each equal to 10, then standard deviation of these values is: