Statistics Chapter 2

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A Pareto chart arranges data from largest to smallest according to frequencies.

True

What are the boundaries of the class 1.87-3.43?

1.865-3.435

What are the boundaries of of the class 13-17?

12.5-17.5

What are the class boundaries of the class 9-13?

8.5-13.5

A survey was taken on how much trust people place in the information they read on the Internet. Construct a categorical frequency distribution for the data. A trust in all that they read, M trust in most of what they read, H trust in about one-half of what they read, S trust in a small portion of what they read. M​M​M​H​M​S​M​M​M​A​ M​H​M​M​M​M​S​M​M​H​ M​M​H​H​M​A​M​M​H​M​ S​ M​H​H​ S​M​M​ S​M​S​

Class: A, M, H, S Frequency: 2, 24, 8, 6, 40 Percent: 5%, 60%, 20%, 15%, 100%

A histogram is a graph that represents the cumulative frequencies for the classes in a frequency distribution.

False

A pie graph would best represent the number of inches of rain that has fallen in Ohio each day for the past 2 months.

False

For a given data set, the ogive and the frequency polygon will have the same overall shape.

False

A stem and leaf plot has the advantage over a grouped frequency distribution of retaining the actual data while still showing them in graphical form.

True

A time series graph is useful for detecting trends that occur over the period of time.

True

An ogive is also called a cumulative frequency graph.

True

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

True

The cumulative frequency for a class is the sum of the frequencies of the classes less than and equal to the upper boundary of the specific class.

True

The frequency polygon and the histogram are two different ways to represent the same data set.

True

The frequency polygon is a graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes.

True

Thirty students recorded the colors of their eyes, choosing from the colors brown, blue, green, hazel, and black. This data can be appropriately summarized in a(n) _______________.

categorical frequency distribution

For grouped frequency distributions, the is obtained by adding the lower and upper limits and dividing by 2.

class midpoint

A Pareto chart is useful for showing percentages of the total at different times.

false

The _______ of a specific class is the number of data values contained in it.

frequency

The _______________ of a specific class is the number of data values contained in it.

frequency

A pie graph is not useful in showing which of the following characteristics of a data set?

frequency changes over time

The percentages of white, wheat, and rye bread sold at a supermarket each week is best shown using a ___________ graph.

pie

A Pareto chart does not have which of the following properties?

quantitative variable on the horizontal axis

Graphs that show distributions using proportions instead of raw data as frequencies are called

relative frequency graphs

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

representing the changing frequencies of a data category over a period time

If the graph of a frequency distribution has a peak and the data tapers off more slowly to the right and more quickly to the left, the distribution is said to be ______________.

right-skewed

A graph would most appropriately represent the number of students that were enrolled in Statistics for each of the past ten years.

time series

A weatherman records the amount of rain that fell in Portland, Oregon each day for a year. What type of graph should he use to show how rainfall changes during the year?

time series graph

The lower class limit represents the smallest data value that can be included in the class.

true

When two sets of data collected over specific periods of time are compared on the same graph using two lines, it is called a compound time series graph.

true

If a frequency distribution had class boundaries of , what would be the class width?

15

How many classes should frequency distributions have?

5-20

Find the class boundaries, midpoint, and width of the class 23-33?

boundaries: 22.5-33.5; midpoint: 28; width: 11

Greg wants to construct a frequency distribution for the political affiliation of the employees at Owen's Hardware Store. What type of distribution would be best?

categorical

The three most commonly used graphs in research are the histogram, the _______________ , and the cumulative frequency graph (ogive).

frequency polygon

When the range is large, and classes that are several units in width are needed, a _______________ frequency distribution is used.

grouped

Which type of graph represents the data by using vertical bars of various heights to indicate frequencies?

histogram


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