A tool to analyze a tuple (finite, ordered list of elements) and give values commonly asked for in AP® Statistics problems. The formulas and terminology used change based on input. NaN means Not a Number.

\(\displaystyle a\) represents .

Press the "Analyze" button to the left to calculate new values for the modified set above.

Input

Assume that \(\displaystyle a\) is a 10-tuple (\(\displaystyle N = 10\)) that represents a sample of the population of interest.

Reordered tuple (will be used for all further calculations):

\(\displaystyle a = ()\)

Tuple information

Number of elements: \(\displaystyle N\) = --

Sum of all elements: \(\displaystyle S_{a} = \sum a_{i}\) = --

Mean (average value): \(\displaystyle \overline{a} = \frac{\sum a_{i}}{N}\) = --

Sample standard deviation: \(\displaystyle s = \sqrt{\frac{\sum (a_{i} - \overline{a})^{2}}{N - 1}}\) = --