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? 39 70 70 70 75 75 85 95 100 125 175 175 200 250 275 275 300 375 425 450 450 450 450 2000 3000. a. find the mean. the mean is $404.52 (type an integer or a decimal rounded to two decimal places as needed.) b. find the median. the median is $ (type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Step1: Count data points

There are 24 data - points.

Step2: Arrange data in ascending order

The data is already in ascending order: 30, 70, 70, 70, 75, 75, 85, 95, 100, 125, 175, 175, 200, 250, 275, 275, 300, 375, 425, 450, 450, 450, 450, 2000, 3000.

Step3: Calculate median

Since \(n = 24\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered values. \(\frac{n}{2}=12\) and \(\frac{n}{2}+1 = 13\). The 12th value is 175 and the 13th value is 200. Median\(=\frac{175 + 200}{2}=\frac{375}{2}=187.50\)

Answer:

187.50