Describing One Variable Data

A variable (or response variable) is

• a characteristic of interest about each individual element of a population or sample

• a characteristic that is irrelevant to the collection of the data

• a characteristic that changes when the data is collected

• a characteristic or trait that will be ignored in a sample population

Descriptive statistics involves...

• collection, presentation, and description of sample data

• the technique of interpreting the values resulting from the descriptive techniques and making decisions and drawing conclusions about the population

• attempting to provide incorrect information and provide misleading graphs

• using information, numbers, and graphics even when data can't be collected

The elements of a 5-number summary start at the beginning of the ​​range which is the ​ (a)   . The next part is the IQR​ which starts with ​ (b)   , has a bar for the ​ (c)   and ends with ​ (d)   . Finally this ends with the ​ (e)   . Outliers are marked by asterisks or other dots.

• minimum
• Q1
• median
• Q3
• maximum
• mean
• mode
• left skew
• right skew

Methods for summarizing data make up the branch of statistics called

• Descriptive Statistics

• Inferential Statistics

• Probability

Describe the shape of the data.

• Symmetrical

• Skewed Left

• Skewed Right

Type of Data arrangement

• Symmetrical

• Hairline

• Skewed Right

• Skewed Left

When the majority of the data is to the right of the graph and there are outliers to the left, the graph is ​ (a)   . Therefore the mean is ​ (b)   the median.

• left-skew

• below

• right-skew

• symmetric

• equal to

• above

The pth percentile is interpreted as the value that has p% of the data less than or equal to it. Put the following in percentile order:

• Max

• Q3

• 0%

• Min

• Median

When describing a distribution, SOCS stands for:

• Shape, Outliers, Center, Skewness

• Symmetric, Outliers, Center, Spread

• Shape, Outliers, Center, Spread

• Shape, Outliers, Change, Spread

This table lists the categories in a categorical variable and gives the count for percentage of observations for each

• Data table

• Relative frequency table

• Contingency table

• Frequency Table