Question

the data below are the frequency of cremation burials found in 17 archaeological sites.
a. obtain the mean, median, and mode of these data.
b. which measure of center do you think works best here?
85 63 45 48 513 33 32 289 2391
45 388 28 86 416 50 237 125
a. the mean is 285.5 (round to one decimal place as needed.)
the median is \\(\square\\) (round to one decimal place as needed.)

Explanation:

Step1: Order the data

First, we need to order the given data from smallest to largest. The data points are: 28, 32, 33, 45, 45, 48, 50, 63, 85, 86, 125, 237, 289, 388, 416, 513, 2391.

Step2: Find the median position

Since there are \( n = 17 \) data points (an odd number), the median is the value at the position \( \frac{n + 1}{2}=\frac{17+ 1}{2}=9^{\text{th}} \) term when the data is ordered.

Step3: Identify the median

Looking at the ordered data, the \( 9^{\text{th}} \) term is 85.

Answer:

85.0