Statistics Basics: Frequency Distribution

Questions and Answers

In an ungrouped frequency distribution of the average age of high school graduates, what would be the boundaries for the class of graduates who were reported to be 18 years old?

17.5-18.5 years old

Which of the following does not need to be done when constructing a frequency distribution?

Determine the range of the data

Make the class width an even number (correct)

Select class boundaries

Decide on the number of classes

Thirty students recorded the colors of their eyes. This data can be appropriately summarized in a(n).

categorical frequency distribution

If the limits for a class were [limits], the boundaries would be.

True Signup and view all the answers

Using the ogive shown below, what is the cumulative frequency of data values less than or equal to 16?

30 Signup and view all the answers

How many values are in the data set whose histogram is shown below?

22 Signup and view all the answers

Classify the histogram as unimodal or bimodal.

bimodal Signup and view all the answers

Graphs give a visual representation that may enable readers to analyze and interpret data more easily than simply looking at tables of numbers.

True Signup and view all the answers

When making Pareto charts, data should be arranged according to frequency.

from largest to smallest Signup and view all the answers

A time series graph is useful for which of the following purposes?

representing the changing frequencies of a data category over a period of time Signup and view all the answers

If a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza, how many degrees would be needed to represent pepperoni pizza in a pie chart?

120° Signup and view all the answers

Study Notes

Frequency Distribution Basics

Class boundaries for 18-year-old graduates range from 17.5 to 18.5 years old.
No requirement for the class width to be an even number when creating a frequency distribution.

Data Representation

Thirty students recorded eye colors, suitable for a categorical frequency distribution.
The relationship between class limits and boundaries is established as true.

Cumulative Frequency and Data Values

Using an ogive, the cumulative frequency for data values less than or equal to 16 is 30.
In a corresponding histogram, the total number of values represented is 22.

Histogram Characteristics

A histogram can be classified based on its shape; in this case, it's identified as bimodal.

Visual Data Interpretation

Graphs provide easier data analysis than numerical tables.
Pareto charts must display data arranged from largest to smallest frequency.

Time Series Graphs

Time series graphs are effective for demonstrating changes in data category frequencies over time.

Pie Chart Representation

In a pie chart, to represent 24 out of 72 pepperoni pizza orders, 120° is needed, reflecting its proportional significance.

Description

Test your knowledge on the basics of frequency distribution, data representation, and visual data interpretation. This quiz covers concepts such as class boundaries, cumulative frequency, histograms, and time series graphs to solidify your understanding of statistics.