1. (02.02 mc) the following are beginning salaries for a certain industry in different areas: $26,150.00…

Explanation:

Step1: Arrange data in ascending order

$19,350.00, $26,150.00, $27,910.00, $27,910.00, $29,920.00, $31,460.00, $31,460.00, $35,630.00, $59,370.00, $222,552.00, $28,915.00

After arranging: $19,350.00, $26,150.00, $27,910.00, $27,910.00, $28,915.00, $29,920.00, $31,460.00, $31,460.00, $35,630.00, $59,370.00, $222,552.00

Step2: Find the median

Since there are 11 data - points (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. Here $n=11$, so $\frac{11 + 1}{2}=6$th value. The 6th value in the ordered list is $29,920.00$

Answer:

$29,920.00$

Explanation for second - part:

Step1: Calculate the new mean

The initial mean is $35,240.00$. The mean grows by 5.125%. The growth factor is $1+\frac{5.125}{100}=1 + 0.05125=1.05125$ The new mean is $35240\times1.05125$ $35240\times1.05125=35240\times\left(1+\frac{5.125}{100}\right)=35240+35240\times\frac{5.125}{100}$ $35240\times\frac{5.125}{100}=\frac{35240\times5.125}{100}=\frac{35240\times\frac{5125}{1000}}{100}=\frac{35240\times5125}{100000}$ $35240\times5125=(35000 + 240)\times5125=35000\times5125+240\times5125$ $35000\times5125 = 35000\times(5000+125)=35000\times5000+35000\times125=175000000+4375000 = 179375000$ $240\times5125=240\times(5000 + 125)=240\times5000+240\times125=1200000+30000 = 1230000$ $35240\times5125=179375000+1230000=180605000$ $\frac{35240\times5125}{100000}=1806.05$ $35240+1806.05 = 37046.05$

Answer:

$37,046.05$