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Chapter 2: Q. 2.53 (page 68)

Suppose that you have constructed a stem-and-leaf diagram and discover that it is only moderately useful because there are too few stems. How can you remedy the problem?

Short Answer

Expert verified

According to the presented statistics, the solution to the problem of too few stems is to employ two or more lines per stem.

Step by step solution

01

Concept introduction

A stem-and-leaf display, also known as a stem-and-leaf plot, is a tool for visualising the shape of a distribution by displaying quantitative data in a graphical fashion, similar to a histogram.

02

Explanation

If the number of stems in a stem and leaf plot is insufficient, it is preferable to use two lines per stem rather than one line per stem since it produces a more usable stem and leaf diagram.

It's sometimes advantageous to utilise five lines per stem, with the first line representing the leaf digits 0and 1, the second line representing 2and 3, and so on, and the fifth line representing the digits 8and9 .

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Most popular questions from this chapter

Baltimore Ravens. From Player Roster, the official roster of the 2013 Super Bowl champion Baltimore Ravens, we obtained the heights, in inches, of the players on that team. A dot plot of those heights is as follows.

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.

Explain the difference between a frequency histogram and a relative-frequency histogram.

Population data.

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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