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The most frequently used measures of central tendency for quantitative data are the mean and the median

Respond to the following in 300 words. 

The most frequently used measures of central tendency for quantitative data are the mean and the median. The following table shows civil service examination scores from 24 applicants to law enforcement jobs:

83        74        85        79

82        67        78        70

18        93        64        27

93        98        82        78

68        82        83        99

96        62        93        58

Using Excel, find the mean, standard deviation, and 5-number summary of this sample.

  • Construct and paste a box plot depicting the 5-number summary.
  • Does the dataset have outliers? If so, which one(s)?
  • Would you prefer to use the mean or the medianas this dataset’s measure of central tendency? Why?

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solve for measures of central tendency and variability

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If the answer is in %, show two decimal places.

Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document.

Below are excel functions, which you can use to solve for measures of central tendency and variability. You can use the formulas too; but, they will be time consuming.

EXCEL FUNCTIONS

Measures of Central Tendency

Suppose data are in cells A1 to A10

Mean                                           =AVERAGE(A1:A10)

Median                                         =MEDIAN(A1:A10)

Mode                                            =MODE(A1:A10)

Measures of Variability

Suppose data are in cells A1 to A10

Range                                            =MAX(A1:A10)-MIN(A1:A10)

IQR                                                =QUARTILE.EXC(Array,3)-QUARTILE.EXC(Array,1)

Population Variance σ2                  =VAR.P(A1:A10)

Sample Variance s2                       =VAR(A1:A10) or VAR.S(A1:A10)

Population Standard Deviation σ   =STDEV.P(A1:A10)

Sample Standard Deviation s        =STDEV(A1:A10) or STDEV.S(A1:A10

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