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Question
the following are beginning salaries for a certain industry in different areas: $26,150.00, $19,350.00, $31,460.00, $27,910.00, $29,920.00, $27,910.00, $35,630.00, $31,460.00. find the median of the data set. (2 points) $27,910.00, $28,915.00, $22,552.00, $59,370.00. the beginning mean wage in a certain industry is $35,240.00. if the mean wage grows by 5.125%, what is the new mean wage? (2 points) $31,453.35, $33,433.95, $37,046.05, $42,567.98
Step1: Calculate the growth factor
The growth rate is 5.125% or 0.05125 in decimal form. The growth - factor is \(1 + 0.05125=1.05125\).
Step2: Calculate the new mean wage
The original mean wage is $35,240.00. Multiply it by the growth - factor: \(35240\times1.05125 = 35240\times(1+\frac{5.125}{100})=35240\times1+35240\times\frac{5.125}{100}=35240 + \frac{35240\times5.125}{100}=35240+ \frac{180505}{100}=35240 + 1805.05=37045.05\).
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$37,045.05