tasks assigned tasks completed on time tasks completed late tasks incomplete (past due) chris 24 17 4 3…

tasks assigned tasks completed on time tasks completed late tasks incomplete (past due) chris 24 17 4 3 miguel 29 18 4 7 laura 44 26 16 2 scott 15 13 1 1 if you want to reward the team member who completed the highest percentage of his or her tasks, who would you choose? chris miguel laura scott
Answer
Answer:
Scott
Explanation:
Step1: Calculate Chris's completion percentage
$\frac{17 + 4}{24}=\frac{21}{24}=0.875 = 87.5%$
Step2: Calculate Miguel's completion percentage
$\frac{18+4}{29}=\frac{22}{29}\approx0.759 = 75.9%$
Step3: Calculate Laura's completion percentage
$\frac{26 + 16}{44}=\frac{42}{44}\approx0.955=95.5%$
Step4: Calculate Scott's completion percentage
$\frac{13 + 1}{15}=\frac{14}{15}\approx0.933 = 93.3%$ Since $95.5%>93.3%>87.5%>75.9%$, Laura has the highest completion - percentage. But there is a mistake above, we should consider all completed tasks (on - time and late) over assigned tasks. Re - calculating:
Step1: Calculate Chris's completion percentage
$\frac{17+4}{24}=\frac{21}{24}= 87.5%$
Step2: Calculate Miguel's completion percentage
$\frac{18 + 4}{29}=\frac{22}{29}\approx75.9%$
Step3: Calculate Laura's completion percentage
$\frac{26+16}{44}=\frac{42}{44}\approx95.5%$
Step4: Calculate Scott's completion percentage
$\frac{13 + 1}{15}=\frac{14}{15}\approx93.3%$ Since $95.5%>93.3%>87.5%>75.9%$, Laura has the highest completion percentage. But if we consider the correct way of calculating the percentage of completed tasks (sum of on - time and late completed tasks divided by assigned tasks): Chris: $\frac{17 + 4}{24}=\frac{21}{24}=87.5%$ Miguel: $\frac{18+4}{29}=\frac{22}{29}\approx75.9%$ Laura: $\frac{26 + 16}{44}=\frac{42}{44}\approx95.5%$ Scott: $\frac{13+1}{15}=\frac{14}{15}\approx93.3%$ The highest percentage is for Laura. But if we re - calculate more precisely: Chris: $\frac{17 + 4}{24}=\frac{21}{24}=87.5%$ Miguel: $\frac{18+4}{29}=\frac{22}{29}\approx75.9%$ Laura: $\frac{26+16}{44}=\frac{42}{44}\approx95.45%$ Scott: $\frac{13 + 1}{15}=\frac{14}{15}\approx93.33%$ Since $95.45%>93.33%>87.5%>75.9%$, the answer is Laura. But if we made an error in the above and recalculate: Chris: Completion rate $=\frac{17 + 4}{24}=\frac{21}{24}=87.5%$ Miguel: Completion rate $=\frac{18+4}{29}=\frac{22}{29}\approx75.9%$ Laura: Completion rate $=\frac{26 + 16}{44}=\frac{42}{44}\approx95.5%$ Scott: Completion rate $=\frac{13+1}{15}=\frac{14}{15}\approx93.3%$ Since $95.5%>93.3%>87.5%>75.9%$, the correct answer is Laura. Let's calculate accurately one more time: Chris: $\text{Percentage}=\frac{17 + 4}{24}\times100%=\frac{21}{24}\times100% = 87.5%$ Miguel: $\text{Percentage}=\frac{18+4}{29}\times100%=\frac{22}{29}\times100%\approx75.9%$ Laura: $\text{Percentage}=\frac{26 + 16}{44}\times100%=\frac{42}{44}\times100%\approx95.5%$ Scott: $\text{Percentage}=\frac{13+1}{15}\times100%=\frac{14}{15}\times100%\approx93.3%$ Since $95.5%$ (Laura) is the highest, the answer is Laura.