/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 45 What advantage does preparing a ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 45

What advantage does preparing a stem-and-leaf display have over grouping a data set using a frequency distribution? Give one example.

Short Answer

Expert verified
The main advantage of preparing a stem-and-leaf display over the grouping of a data set using a frequency distribution is that a stem-and-leaf display retains the original data points while providing a representation of their frequency. An example demonstrating this advantage can be the case of student test scores, where a stem-and-leaf display can provide the exact scores along with their occurrences.

Step by step solution

01

Understanding Stem-and-Leaf Display

A stem-and-leaf display is a statistical technique to present a set of data. Each number in the data set is separated into a stem (first digit or digits) and a leaf (last digit). This method allows not only viewing the frequency of data but also the actual data points. The data in a stem-and-leaf plot is organized, which can save space while keeping the original data points.
02

Understanding Frequency Distributions

A frequency distribution is a summary of a set of data that displays the number of times each value or range of values occurs. It is typically represented in the form of a table or graph. While this method provides a clear picture of the frequency of data points, it does not represent the actual data points. The original data points are lost in this method.
03

Identifying the Advantage

The major advantage of a stem-and-leaf display over a frequency distribution is that it retains the original data points while also indicating the frequency of data points. This is particularly advantageous when the actual data points are important and we do not want to lose them within ranges or groups as in a frequency distribution.
04

Giving an Example

For example, consider a small dataset of student test scores out of 10: [10, 9, 9, 8, 9, 7, 7, 6, 6, 6]. In a frequency distribution, this might be grouped and displayed as 6-7: 4 students, 8-9: 4 students, 10: 2 students. In this case, you do not have the exact test scores for each student. In a stem-and-leaf display, however, each test score would be shown. For instance, stem 0: 6 6 6 7 7; stem 1: 0 8 9 9 9. Here, exact scores of each test can be seen along with their frequency.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

How are the relative frequencies and percentages of categories obtained from the frequencies of categories? Illustrate with the help of an example

A data set on money spent on lottery tickets during the past year by 200 households has a lowest value of $$\$ 1$$ and a highest value of $$\$ 1167$$. Suppose we want to group these data into six classes of equal widths. a. Assuming that we take the lower limit of the first class as $$\$ 1$$ and the width of each class equal to $$\$ 200$$, write the class limits for all six classes. b. What are the class boundaries and class midpoints?

Create a dotplot for the following data set. $$ \begin{array}{llllllllll} 1 & 2 & 0 & 5 & 1 & 1 & 3 & 2 & 0 & 5 \\ 2 & 1 & 2 & 1 & 2 & 0 & 1 & 3 & 1 & 2 \end{array} $$

Briefly explain the three decisions that have to be made to group a data set in the form of a frequency distribution table.

The following table, reproduced from Exercise 2.14, gives the frequency distribution of the number of credit cards possessed by 80 adults. $$ \begin{array}{lc} \hline \text { Number of Credit Cards } & \text { Number of Adults } \\ \hline 0 \text { to } 3 & 18 \\ 4 \text { to } 7 & 26 \\ 8 \text { to } 11 & 22 \\ 12 \text { to } 15 & 11 \\ 16 \text { to } 19 & 3 \\ \hline \end{array} $$ a. Prepare a cumulative frequency distribution. b. Calculate the cumulative relative frequencies and cumulative percentages for all classes. c. Find the percentage of these adults who possess 7 or fewer credit cards. d. Draw an ogive for the cumulative percentage distribution. e. Using the ogive, find the percentage of adults who possess 10 or fewer credit cards.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.