Question

find the (a) mean, (b) median, (c) mode, and (d) mid - range for the data and then (e) answer the given question. listed below are the amounts (dollars) it costs for marriage proposal packages at different sports venues. are there any outliers? 49 50 50 50 55 55 75 95 100 125 150 150 175 184 200 200 275 300 375 400 400 400 400 2500 3000 a. find the mean. the mean is $ $ (type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. First, count the number of data - points. There are $n = 25$ data - points.

Step2: Calculate the sum of data - points

$\sum_{i=1}^{25}x_{i}=49 + 50+50+50+55+55+75+95+100+125+150+150+175+184+200+200+275+300+375+400+400+400+400+2500+3000=9033$.

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{9033}{25}=361.32$.

Answer:

$361.32$