the data below are the frequency of cremation burials found in 17 archaeological sites. a. obtain the mean…

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? 84 60 46 49 522 34 33 285 2377 46 377 29 88 410 56 236 110 a. the mean is (round to one decimal place as needed.)

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? 84 60 46 49 522 34 33 285 2377 46 377 29 88 410 56 236 110 a. the mean is (round to one decimal place as needed.)

Answer

Explanation:

Step1: Calculate sum of data

$84 + 60+46 + 49+522+34+33+285+2377+46+377+29+88+410+56+236+110 = 4602$

Step2: Divide by number of data points

The number of data - points $n = 17$. Mean $\bar{x}=\frac{4602}{17}\approx270.7$

Step3: Find median

First, order the data: $29,33,34,46,46,49,56,60,84,88,110,236,285,377,410,522,2377$. Since $n = 17$ (odd), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{17+1}{2}=9$ - th value, so the median is $84$.

Step4: Find mode

The mode is the value that appears most frequently. Here, $46$ appears twice and other values appear once, so the mode is $46$.

Step5: Determine best measure of center

The data has extreme values (like $2377$ and $522$). The median is less affected by outliers, so the median is the best measure of center.

Answer:

a. $270.7$ b. Median