Measures of Center & Variation Flashcards

Questions and Answers

What is a measure of center?

A value that represents the middle of a data set (correct)

A value that represents the spread of data

A value that indicates variability

A value that describes the range of data

What is the median of a numerical data set?

The middle value when arranged in order, or the average of the two middle values for an even number of values.

How do you calculate the mean?

Sum the data values and divide by the number of values in the data set.

Variability describes how items in a data set are exactly the same.

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What does a measure of variability describe?

The spread of values in a data set. Signup and view all the answers

What is the range of a data set?

The difference between the greatest and least values. Signup and view all the answers

What does the interquartile range represent?

The spread of the middle 50% of the data values. Signup and view all the answers

What do deviations indicate in a data set?

How far and in which direction a data value is from the mean. Signup and view all the answers

What is mean absolute deviation?

A measure of variability that describes how much data values are spread out from the mean. Signup and view all the answers

Study Notes

Measures of Center

Values that represent the middle of a data set.
Multiple measures of center can exist for a single data set.

Median

Indicates the middle value in a sorted numerical data set.
For odd numbers of data points, the median is the direct middle value.
For even numbers, the median is calculated as the average of the two middle values.

Mean

Calculated by summing all data values and dividing by the count of values.
Represents the average center of a numerical data set.

Variability

Describes the degree of difference among data values in a set.
The spread of data is shown on a horizontal scale in visual data displays.

Measure of Variability

Indicates the spread of values within a data set.
Multiple measures can be used to assess variability for a data set.

Range

Represents the extent of variability by determining the difference between the maximum and minimum values in the data set.

Interquartile Range

Distance between the first (25th percentile) and third quartiles (75th percentile) of a data set.
Reflects the spread of the middle 50% of data values.

Deviates

Describes how far a specific data value is from the mean, with positive deviations for values above the mean and negative for values below.

Mean Absolute Deviation

A variability measure indicating the average distance of data values from the mean.
Assesses how spread out the values are around the average center.

Description

Explore essential concepts related to measures of center and variation through these informative flashcards. Learn definitions and examples like the median and its significance in data analysis, enhancing your understanding of statistics.