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 $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here, $n = 5$, $x_1=43$, $x_2 = 32$, $x_3=65$, $x_4 = 88$, $x_5=72$.
$\sum_{i=1}^{5}x_{i}=43 + 32+65 + 88+72=300$.
$\bar{x}=\frac{300}{5}=60$.

Step2: Arrange the data for median

Arrange the data in ascending order: $32,43,50,65,72,88$. Since $n = 6$ (even), the median $M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}=\frac{50 + 65}{2}=57.5$.

Answer:

No, Sasha is not correct. The median amount she makes is $\$57.50$ in a day.