Question

question 2 1.75 pts a large retirement community wants to host a birthday party for its residents who recently became centenarians (a centenarian is someone who has lived 100 years). there are 25 new centenarians. which of the following best represents the standard deviation for the ages of the new centenarians? 0 0 4 100

Explanation:

Step1: Recall definition of centenarian

A centenarian is 100 years old. If all 25 new - centenarians are exactly 100 years old, there is no spread in the data.

Step2: Recall formula for standard deviation

The formula for the standard deviation $\sigma=\sqrt{\frac{\sum_{i = 1}^{n}(x_{i}-\bar{x})^{2}}{n}}$. When all data points $x_{i}$ are the same (in this case, all $x_{i}=100$ and $\bar{x} = 100$), then $(x_{i}-\bar{x}) = 0$ for all $i$. So, $\sum_{i = 1}^{n}(x_{i}-\bar{x})^{2}=0$.

Answer:

0