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? ? C , í Secure l httpsl/www mathulcornstudenplayerTest aspmestid. 177882146 MTH 119.23W Kelcie Pimental &1 42/18 8:31 PM Quiz: Chapter 3 Review Quiz ulZ Submit Qua This Question: 1 pt 10 of 12 (9 complete) This Quiz: 12 pts possib Benjamin owns a small Internet business Besides himselt, he employs nine other people. The salaries earned by the employees are given below in thousands af dollars (Benjamin's salary is the largest, of course). Complete parts (a) through(d 20, 35, 45, 50, 50, 50, 55, 55, 60, 80 (a) Determine the mean, median, and mode for salary The mean salary is thousand dolars (Type an integer or a decimal The median salary is thousand dollars (Type an integer or a decimal Select the correct choice below and Sill in any answer boxes in your choice o A. The mode salary?: thousand dollars O B. There is no mode (b) Business has been good As a result, Benjamin has a total of (Type an integer or a decimal Use a comma to separate answers as needed) $25,000 in bonus pay to distribute to his employees One option for distribuêng bonuses is to give each employee (nckading himser) $2,500. Add data set. Recalculabe the mean median, and mode How do they compare to the originals? the bonuses under this plan to the original salanies to create a new The mean for the new data set isthousand dollars Type an integer or a decimal) Cick to select your answerls)Explanation / Answer
a)
mean = 50 thousand
Median will be average of 5th and 6th data value
median = 50 thousand
Mode will be the data value with highest frequency
mode = 50 thousand
The mode salary is 50 thousand dollars
b)
New data set will be: X+2.5 22.5 37.5 47.5 52.5 52.5 52.5 57.5 57.5 62.5 82.5 Total 52.5 Mean: Mean will be $52,500. Median: Median will be average of 5th and 6th data value. So median will be Median will be $52,500. Mode : Mode will be the data value with highest frequency. So mode is $52,500. All the statistics increased by $25,00.
all the 3 measures increased by 2500
c)
Following is the new salary after adding 5% bonus: X+0.05X 21 36.75 47.25 52.5 52.5 52.5 57.75 57.75 63 84 Total 52.45 Mean: Mean will be $52,450. Median: Median will be average of 5th and 6th data value. So median will be Median will be $52,500. Mode : Mode will be the data value with highest frequency. So mode is $52,500.
d)
Following is the new salary after adding 25000 to bengian salary only bonus: 20
35 45 50 50 50 55 55 60 82.5 Total 50.25 Mean: Mean will be $50,250. Median: Median will be average of 5th and 6th data value. So median will be Median will be $50,000. Mode : Mode will be the data value with highest frequency. So mode is $50,000.
The mean increased by 10% but the median and mode did not change
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