Question

sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. is sasha correct in thinking that the mean accurately represents how much money she makes in daily tips?
○ yes, sasha is correct. the mean amount she makes is $58.33 in a day.
○ yes, sasha is correct. the mean amount she makes is $65.33 in a day.
○ no, sasha is not correct. the median amount she makes is $53.00 in a day.
○ no, sasha is not correct. the median amount she makes is $60.00 in a day.

Explanation:

Step1: Calculate the mean

The formula for the mean is $\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here, $n = 5$ (number of days), and $x_{i}$ are the tip amounts: $43,32,65,88,50,72$.
$\sum_{i=1}^{5}x_{i}=43 + 32+65 + 88+50+72=350$.
Mean $=\frac{350}{5}=70$.

Step2: Calculate the median

First, order the data: $32,43,50,65,72,88$. Since $n = 6$ (even number of data - points), the median is the average of the $\frac{n}{2}$ and $\frac{n}{2}+1$ - th values.
$\frac{50 + 65}{2}=57.5$.

Answer:

No, Sasha is not correct. The mean amount she makes is $\$70$ in a day.