For salaries of $102,000, $98,000, $45,000, $106,000 and $101,000, the arithmetic mean would be an appropriate average.

16.  For salaries of $102,000, $98,000, $45,000, $106,000 and $101,000, the arithmetic mean would be an appropriate average.

Answer: False        

17.  Three persons earn $8 an hour, six earn $9 an hour, and one earns $12 an hour.  The weighted mean hourly wage is $9.

Answer: True       

18.  For any distribution, there are an equal number of values above the mean and  below it.

Answer: False         

19.  For a data set with an even number of ungrouped values, the median is the arithmetic mean of the two middle values.

Answer: True        

20.  For a data set with an even number of ungrouped values, half of the values will be less than the median.

21.  In a negatively skewed distribution, the mean is always greater than the median.

 

22.  In a negatively skewed distribution, the mean is smaller than the median or mode and the mode occurs at the peak of the curve.

23.  In a positively skewed distribution, the mode is greater than the median.

 

24.  Dispersion is the degree of variation in the data.

25.  The mean deviation is the mean of the actual values of the deviations from the arithmetic mean.

26.  The variance is the mean of the sum of the squared deviations between each observation and the median.

27.  The standard deviation is the positive square root of the variance.

28.  Chebyshev's Theorem gives the proportion of observations in any data set that occurs within k standard deviations of the mean, where k is greater than 1.0.

29.  The Empirical states that about 68% of the observation will lie within one standard deviation of the mean; about 95% of the observations will lie within two standard deviations of the mean; and virtually all (99.7%) will lie within three standard deviations of the mean.

30.  The mean absolute deviation is the most widely used measure of dispersion.

                                        

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