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Chapter 2: Q. 2.49 (page 68)

Explain the advantages and disadvantages of frequency histograms versus frequency distributions.

Short Answer

Expert verified

The advantage of a frequency histogram over a frequency distribution is that it allows you to visually compare data.

The frequency histogram has the disadvantage of being more complex, requiring more time and effort to produce than the frequency distribution.

Step by step solution

01

Concept introduction

In statistics, a histogram is a solid figure or diagram made up of rectangular bars. It's one of the most used types of bar graph, and it's used to visualise any numeric data in a practical way.

02

Explanation

A frequency histogram is a sort of bar graph that displays the frequency, or number of times, a data set's outcome happens. To graphically show the data, it has a title, an x-axis, a y-axis, and vertical bars.

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Most popular questions from this chapter

The Federal Reserve System publishes weekly figures for M2 money supply in the document Money Stock Measures. M2 includes such things as cash in circulation, deposits in checking accounts, nonbank traveller's checks, accounts such as savings deposits, and money-market mutual funds. The following bar chart provides data on the M2 money supply over 3months during one year.

a. What is wrong with the bar chart?

b. Construct a version of the bar chart with a nontruncated and unmodified vertical axis.

c. Construct a version of the bar chart in which the vertical axis is modified in an acceptable manner.

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in Statistics of Income, and Individual Income Tax Returns. The following relative frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than \(50,000.

Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.

a. Approximately what percentage of the individual income tax returns had an adjusted gross income between\)10,000and \(19,999, inclusive?

b. Approximately what percentage had an adjusted gross income of less than \)30,000?

c. The IRS reported that \(89,928,000individual income tax returns had an adjusted gross income of less than \)50,000. Approximately how many had an adjusted gross income between \(30,000and \)49,999, inclusive?

For quantitative data, we examined three types of grouping: single-value grouping, limit grouping, and cut point grouping. For each type of data given, decide which of these three grouping types is usually best, Explain your answers.

a. Continuous data displayed to one or more decimal places

b. Discrete data in which there are relatively few distinct observations

Explain the meaning of

Qualitative Variable

Discrete, Quantitative Variable

Continuous, Quantitative Variable

Explain the meaning of

a) Qualitative Variable

b) Discrete, Quantitative Variable

c) Continuous, Quantitative Variable
See all solutions

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