CALC 1 Statistics: 1 List Examples
Calculate the sum, mean, sample standard deviation and sample variance for the following data:
| X |
| 2 |
| 3 |
| 4 |
| 5 |
| 6 |
| Value | Key | Display | Description |
|---|---|---|---|
| shift clr l | 0 | Clears the x list. | |
| 2 | Σ+ | 1.0000 | Append x to list x. |
| 3 | Σ+ | 2.0000 | Append x to list x. |
| 4 | Σ+ | 3.0000 | Append x to list x. |
| 5 | Σ+ | 4.0000 | Append x to list x. |
| 6 | Σ+ | 5.0000 | Append x to list x. |
| Σx | 20.0000 | Calculates the sum of list x. | |
| mean | 4.0000 | Calculates the mean of list x. | |
| stdev | 1.5811 | Calculates the sample standard deviation of list x. | |
| var | 2.500 | Calculates the sample variance of list x. |
Opening the List Manager
Toolbar Button or from the main menu,
You can verify the values.
These other functions are available by pressing shift:
| Value | Key | Display | Description |
|---|---|---|---|
| medn | 4.0000 | Calculates the median of list x. | |
| stdvp | 1.4142 | Calculates the population standard deviation of list x. | |
| varp | 2.0000 | Calculates the population variance of list x. | |
| Σx^2 | 90.0000 | Calculates the sum of the squares of the values in list x | |
| N | 5.0000 | Calculates the count of list x. | |
| mode | Calculates the mode of list x. (no mode for this data) | ||
| min | 2.0000 | Calculates the minimum value of list x. | |
| max | 6.0000 | Calculates the maximum value of list x. | |
| range | 4.0000 | Calculates the range of list x. | |
| geom | 3.7279 | Calculates the geometric mean of list x. | |
| harm | 3.4483 | Calculates the harmonic mean of list x. | |
| avgdv | 1.2000 | Calculates the average deviation of list x. | |
| devsq | 10.0000 | Calculates the sum of squares of deviations from the mean of list x. | |
| kurt | -1.2000 | Calculates the kurtosis of list x. | |
| mltnml | 9.7770E10 | Calculates the multinomial of list x. | |
| prod | 720.0000 | Calculates the product of the values of list x. | |
| 4 | nrm | 0.5000 | Calculates the cumulative distribution function for x using the current μ and σ, for 1 tail. |
| 5.5 | std scr | 1.0607 | Calculates the standard score for x using the current mean and population standard deviation. |
| 5.5 | t-stat | 0.9487 | Calculates the t-statistics for x using the current mean and sample standard deviation. |
See the Probability and Statistics Functions for links to more information on these functions.