Statistics Chapter 2.1 Flashcards

Questions and Answers

What is a frequency table?

Shows how data are partitioned among several categories by listing the categories along with the number of data values in each.

What is a lower class limit?

The smallest number that can belong to each of the different classes.

What is an upper class limit?

The highest number that can belong to each of the different classes.

What is a class boundary?

A value that separates two classes in a frequency distribution. Signup and view all the answers

Find the class boundaries for the frequency distribution: 2 - 8, 9 - 15, 16 - 22.

1.5, 8.5, 15.5, 22.5 Signup and view all the answers

What is a class midpoint?

The value at the middle of a class. Signup and view all the answers

What is class width?

The difference between two consecutive lower class limits. Signup and view all the answers

Typically, how many classes are present in a frequency distribution?

5 to 20, but varies. Signup and view all the answers

How do you calculate the appropriate class width for a frequency distribution?

Class Width = [(maximum data value) - (minimum data value)] / (number of classes), then round to get a whole number. Signup and view all the answers

What is a relative frequency distribution?

A distribution that shows relative frequency in the form of a percentage. Signup and view all the answers

What is a cumulative frequency distribution?

A distribution that shows the cumulative frequency of data. Signup and view all the answers

Study Notes

Frequency Table and Classes

A frequency table organizes data into categories (classes) and indicates the number of data points (frequency) in each category.
Lower class limit identifies the smallest value in a class, e.g., for class 75-124, the lower limits are 75 and 125.
Upper class limit identifies the highest value in a class, complementing the lower limits.

Class Boundaries

Class boundaries differentiate between classes, ensuring no gaps; calculated as the average of consecutive lower and upper limits.
For example, boundaries for classes 1-2, 3-4, and 5-6 are 0.5, 2.5, 4.5, and 6.5.
Example class boundaries from the distribution 2-8, 9-15, 16-22 are 1.5, 8.5, 15.5, and 22.5.

Class Midpoints and Width

Class midpoint is the average of the lower and upper limits, representing the center of a class.
Class width is determined by the difference between the lower limits of consecutive classes.

Frequency Distribution Characteristics

A typical frequency distribution contains between 5 to 20 classes.
Appropriate class width is calculated as: (maximum data value - minimum data value) / (number of classes), rounded to the nearest whole number, preferably upward.

Types of Frequency Distributions

Relative Frequency Distribution showcases each class's frequency as a percentage of the total, summing to 100%.
Cumulative Frequency Distribution tracks the running total of frequencies, illustrating the accumulation of data over classes.

Description

Test your knowledge on key concepts from Statistics Chapter 2.1 with these flashcards. This quiz focuses on important terms like frequency tables and lower class limits, providing clear definitions for better understanding. Perfect for students looking to reinforce their learning.