Unit 1 - Overview and Descriptive Statistics Flashcards

A set of 20 vocabulary flashcards covering basic descriptive statistics and TI-83/84 calculator operations based on lecture notes.

Population

A well-defined collection of objects of interest in a study.

Census

A complete enumeration of a population.

Sample

A subset of the population selected in some prescribed manner.

Sample Median

The data value that is the middle value when the data are ordered from smallest to largest.

$$n$$

The symbol used to represent sample size.

$1$-Var Stats

The TI-$83$/$84$ command used to generate descriptive statistics for a data set.

Midrange

A value calculated by taking the maximum value ($maxX$), adding the minimum value ($minX$), and then dividing by $2$.

Range

A value calculated by taking the maximum value ($maxX$) and subtracting the minimum value ($minX$).

Mode

The value in a data set that occurs most often.

SortA

A command on the TI-$83$/$84$ which stands for sort in ascending order.

Quartiles

Values that divide a data set into four parts.

First Quartile ($Q1$)

The median of the data that are less than or equal to the median.

Third Quartile ($Q3$)

The median of the data that are greater than or equal to the median.

Percentiles

Values that divide a data set into $100$ equal parts.

Trimmed Mean

An alternate metric calculated by removing the bottom $P\%$ and top $P\%$ of data points from an ordered data set and then calculating the mean from the remaining points.

Sum of Deviations

The sum of the deviations of a set of data observations from their arithmetic mean, which is always equal to $0$.

Sample Variance ($s^2$)

A measure of spread calculated as $s^2 = \frac{\sum (x_i - \bar{x})^2}{n - 1}$.

Sample Standard Deviation ($s$)

A measure of spread found by taking the square root of the sample variance.

$$S_x$$

The notation used on the TI-$83$/$84$ to represent the sample standard deviation.

$$\sigma_x$$

The notation used on the TI-$83$/$84$ to represent the population standard deviation.