1. for most people, health club membership expenses are considered discretionary. alli lives in a big city…

1. for most people, health club membership expenses are considered discretionary. alli lives in a big city and wants to join a health club. she researched monthly membership costs and found the following for health clubs within a 5 - mile radius of her apartment. $65, $50, $44, $86, $90, $50, $35, $110, $70, $50, $35, $60, $56\na. what is the mean monthly membership fee? round your answer to the nearest cent.\nb. what is the median monthly membership fee?\nc. what is the mode monthly membership fee?

1. for most people, health club membership expenses are considered discretionary. alli lives in a big city and wants to join a health club. she researched monthly membership costs and found the following for health clubs within a 5 - mile radius of her apartment. $65, $50, $44, $86, $90, $50, $35, $110, $70, $50, $35, $60, $56\na. what is the mean monthly membership fee? round your answer to the nearest cent.\nb. what is the median monthly membership fee?\nc. what is the mode monthly membership fee?

Answer

Explanation:

Step1: Calculate the sum of data

$65 + 50+44 + 86+90+50+35+110+70+50+35+60+56=791$

Step2: Calculate the mean

There are $n = 13$ data - points. The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{791}{13}\approx60.85$

Step3: Arrange data in ascending order

$35,35,44,50,50,50,50,56,60,65,70,86,110$

Step4: Find the median

Since $n = 13$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{13+1}{2}=7$ - th value, which is $50$.

Step5: Find the mode

The mode is the value that appears most frequently. The number $50$ appears $4$ times, more frequently than any other number, so the mode is $50$.

Answer:

A. $$60.85$ B. $$50$ C. $$50$