The standard deviation of $$n$$ numerical data $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$ with mean $$\overline{x}$$ is equal to $$\sqrt{\frac{s}{n}}$$, where $$S$$ is the sum of the squared differences $$(x_{i} - \overline{x})^{2}$$ for $$1 \leq i \leq n$$.
Data set $$R$$ consists of $$1,000$$ values, where each value is a positive integer less than $$100$$. The mean of the values in $$R$$ is $$50$$, and $$500$$ of the values are between $$40$$ and $$60$$.
Quantity A
The standard deviation of the values in $$R$$
Quantity B
$$\frac{100}{3}$$
