MBA/MBA Business Statistics Mcq Set 1 Sample Test,Sample questions

Question:
 If the dispersion is small, the standard deviation is:

1.Large

2.Zero

3.Small

4.Negative


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

1.Positive

2.Negative

3.Zero

4.Three


Question:
Bowley's coefficient of skewness lies between:

1.0 and 1

2.1 and +1

3.-1 and 0

4.-2 and +2


Question:
For a positively skewed distribution, mean is always:

1.Less than the median

2.Less than the mode

3.Greater than the mode

4.Difficult to tell


Question:
For a symmetrical distribution:

1.β1 > 0

2.β1 < 0

3.β1 = 0

4.β1= 3


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

1.Interquartile range

2.Quartile deviation

3.Mean deviation

4.Standard deviation


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

1.Small

2.Large

3.Normal

4.Symmetrical


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

1.Symmetrical

2.Positively skewed

3.Negatively skewed

4.Normal


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

1.0

2.4.472

3.4.236

4.2.236


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

1.10

2.15

3.25

4.35


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

1.-48

2.40

3.-40

4.48


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

1.Positively skewed

2.Positively skewed

3.Symmetrical

4.Mesokurtic


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

1.Large

2.Small

3.Normal

4.Symmetric


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

1.S.D(X)

2.a S.D(X)

3.∣a∣ S.D(X)

4.a S.D(X) + b


Question:
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:

1.a Q.D(X) + b

2.∣a∣ Q.D(X)

3.Q.D(X) - b

4.∣b∣ Q.D(X)


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

1.Range(X)

2.a range(X) + b

3.a range(X) - b

4.∣a∣ range(X)


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

1.M.D(X)

2.M.D(X) ± b

3.∣a∣ M.D(X)

4.M.D(Y) + M.D(X)


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

1.81

2.27

3.9

4.3


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

1.50

2.200

3.100

4.No change


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

1.5

2.15

3.20

4.25


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

1.Range

2.Average deviation

3.Standard deviation

4.Quartile deviation


Question:
Mean deviation computed from a set of data is always:

1.Negative

2.Equal to standard deviation

3.More than standard deviation

4.Less than standard deviation


Question:
Moment ratios β1 and β2 are:

1.Independent of origin and scale of measurement

2.Expressed in original unit of the data

3.Unit less quantities

4.Both (a) and (c)


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

1.2

2.10

3.14

4.100


Question:
Standard deviation is always calculated from:

1.Mean

2.Median

3.Mode

4.Lower quartile


Question:
The degree of peaked ness or flatness of a unimodel distribution is called:

1.Skewness

2.Symmetry

3.Dispersion

4.Kurtosis


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

1.Symmetrical

2.Skewed to the left

3.Skewed to the right

4.Normal


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

1.6

2.0

3.3

4.2


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

1.Mean

2.Median

3.Range

4.Coefficient of variation


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

1.Measures of dispersion

2.Measures of central tendency

3.Measures of skewness

4.Measures of kurtosis


Question:
The measures of dispersion can never be:

1.Positive

2.Zero

3.Negative

4.Equal to 2


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

1.Relative measures of dispersion

2.Coefficient of skewness

3.Absolute measures of dispersion

4.Coefficient of variation


Question:
The measures used to calculate the variation present among the observations relative to their average is called:

1.Coefficient of kurtosis

2.Absolute measures of dispersion

3.Quartile deviation

4.Relative measures of dispersion


Question:
The moments about mean are called:

1.Raw moments

2.Central moments

3.Moments about origin

4.All of the above


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

1.Variance

2.Range

3.Standard deviation

4.Coefficient of variation


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

1.140

2.143

3.146

4.70


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

1.Coefficient of standard deviation

2.Coefficient of skewness

3.Coefficient of kurtosis

4.Coefficient of variation


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

1.Central tendency

2.Dispersion

3.Skewness

4.skewness


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

1.Leptokurtic

2.Platykurtic

3.Mesokurtic or normal

4.Positively skewed


Question:
The standard deviation is independent of:

1.Change of origin

2.Change of scale of measurement

3.Change of origin and scale of measurement

4.Difficult to tell


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

1.-5

2.+5

3.0

4.-25


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

1.Coefficient of Standard deviation

2.Coefficient of skewness

3.Coefficient of quartile deviation

4.Coefficient of variation


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

1.Mean

2.Mode

3.Median

4.Upper quartile


Question:
The variance is zero only if all observations are the:

1.Different

2.Square

3.Square root

4.Same


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

1.Combined standard deviation

2.Corrected standard deviation

3.Coefficient of variation

4.Coefficient of skewness


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

1.Standard deviation

2.Range

3.Quartile deviation

4.Coefficient of variation


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

1.Range

2.Standard deviation

3.Variance

4.Mean deviation


Question:
Which of the following is an absolute measure of dispersion?

1.Coefficient of variation

2.Coefficient of dispersion

3.Standard deviation

4.Coefficient of skewness


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

1.Variance

2.Standard deviation

3.Coefficient of variation

4.Coefficient of standard deviation


Question:
Which of the following statements is correct?

1.The standard deviation of a constant is equal to unity

2.The sum of absolute deviations is minimum if these deviations are taken from the mean.

3.The second moment about origin equals variance

4.The variance is positive quantity and is expressed in square of the units of the observations


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