Question

sashas daily tips this work week were $43, $32, $65, $88, $50, and $72. is sasha correct in thinking that the mea 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, $x_{1}=43$, $x_{2}=32$, $x_{3}=65$, $x_{4}=88$, $x_{5}=50$, $x_{6}=72$, and $n = 6$.
$\sum_{i=1}^{6}x_{i}=43 + 32+65 + 88+50+72=350$
$\bar{x}=\frac{350}{6}\approx58.33$

Step2: Arrange the data for median

First, order the data: $32,43,50,65,72,88$.
Since $n = 6$ (even), the median $M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}$.
$x_{3}=50$, $x_{4}=65$
$M=\frac{50 + 65}{2}=\frac{115}{2}=57.5
eq53$ and $M=\frac{50 + 65}{2}
eq60$. Also, the mean is affected by the out - liers (such as 32 and 88). The median is a better measure of central tendency in this case.

Answer:

No, Sasha is not correct. The median amount she makes is $\$60.00$ in a day.