If the dispersion is small, the standard deviation is:
1.Large
2.Zero
3.Small
4.Negative
All odd order moments about mean in a symmetrical distribution are:
1.Positive
2.Negative
3.Zero
4.Three
Bowley's coefficient of skewness lies between:
1.0 and 1
2.1 and +1
3.-1 and 0
4.-2 and +2
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
For a symmetrical distribution:
1.β1 > 0
2.β1 < 0
3.β1 = 0
4.β1= 3
Half of the difference between upper and lower quartiles is called:
1.Interquartile range
2.Quartile deviation
3.Mean deviation
4.Standard deviation
If all the scores on examination cluster around the mean, the dispersion is said to be:
1.Small
2.Large
3.Normal
4.Symmetrical
If mean=25, median=30 and standard deviation=15, the distribution will be:
1.Symmetrical
2.Positively skewed
3.Negatively skewed
4.Normal
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
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
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
If the third moment about mean is zero, then the distribution is:
1.Positively skewed
2.Positively skewed
3.Symmetrical
4.Mesokurtic
If there are many extreme scores on all examination, the dispersion is:
1.Large
2.Small
3.Normal
4.Symmetric
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
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)
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)
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)
In a mesokurtic or normal distribution, 4 = 243. The standard deviation is:
1.81
2.27
3.9
4.3
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
In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to:
1.5
2.15
3.20
4.25
In quality control of manufactured items, the most common measure of dispersion is:
1.Range
2.Average deviation
3.Standard deviation
4.Quartile deviation
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
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)
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
Standard deviation is always calculated from:
1.Mean
2.Median
3.Mode
4.Lower quartile
The degree of peaked ness or flatness of a unimodel distribution is called:
1.Skewness
2.Symmetry
3.Dispersion
4.Kurtosis
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
The mean deviation of the scores 12, 15, 18 is:
1.6
2.0
3.3
4.2
The measure of dispersion which uses only two observations is called:
1.Mean
2.Median
3.Range
4.Coefficient of variation
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
The measures of dispersion can never be:
1.Positive
2.Zero
3.Negative
4.Equal to 2
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
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
The moments about mean are called:
1.Raw moments
2.Central moments
3.Moments about origin
4.All of the above
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
The range of the scores 29, 3, 143, 27, 99 is:
1.140
2.143
3.146
4.70
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
The scatter in a series of values about the average is called:
1.Central tendency
2.Dispersion
3.Skewness
4.skewness
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
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
The standard deviation of -5, -5, -5, -5, 5 is:
1.-5
2.+5
3.0
4.-25
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
The sum of absolute deviations is minimum if these deviations are taken from the:
1.Mean
2.Mode
3.Median
4.Upper quartile
The variance is zero only if all observations are the:
1.Different
2.Square
3.Square root
4.Same
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
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
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
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
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
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