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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

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

We have drawn a smooth curve that represents a distribution,

a. Identify the shape of the distirbution with regard to modality.

b. Identify the shape of the distribution with regard to symmetry (or non symmetry)

c . If the distribution is unimodal and non symmetric, classify it as either right skewed or left skewed.

Use the specified grouping method to

Part (a): Determine a frequency distribution.

Part (b): Obtain a relative frequency distribution.

Part (c): Construct a frequency histogram based on your result from part (a).

Part (d): Construct a relative frequency histogram based on your result from part (b).

From the TVbytheNumbers website, we obtain the viewing audiences, in millions, for the top 20 primetime broadcast TV shows for the week ending August 18,2013. Use cutpoint grouping with a first class of 4-under 5.

A quantitative data set has been grouped by using limit grouping with equal-width classes. The lower and upper limits of the first class are 3and 8, respectively, and the class width is 6.

a. What is the class mark of the second class?

b. What are the lower and upper limits of the third class?

c. Which class would contain an observation of 23?

Detroit Tigers. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series runner-up Detroit Tigers baseball team.

Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.

a. Construct a stem-and-leaf diagram of these data with five lines per stem.

b. Why is it better to use five lines per stem here instead of one or two lines per stem?
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