/*! 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 12 Rank each set of data. $$ 88... [FREE SOLUTION] | 91影视

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Chapter 13: Problem 12

Rank each set of data. $$ 88.3,46.0,83.4,321.0,58.6,16.0,148.3,32.7,62.8 $$

Short Answer

Expert verified
The ranked data is 16.0, 32.7, 46.0, 58.6, 62.8, 83.4, 88.3, 148.3, 321.0.

Step by step solution

01

Understand the Task

The exercise requires us to rank a given set of numbers from smallest to largest, which means arranging the numbers in ascending order.
02

Identify the List

The given list of numbers is 88.3, 46.0, 83.4, 321.0, 58.6, 16.0, 148.3, 32.7, and 62.8.
03

Arrange the Numbers

Sort the list of numbers in ascending order, by reordering them from the smallest to the largest value.
04

Order the Data

Starting with the smallest number, arrange them as follows: 16.0, 32.7, 46.0, 58.6, 62.8, 83.4, 88.3, 148.3, 321.0.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Ascending Order
When we talk about arranging numbers in ascending order, we're essentially looking at how to sort numbers from the smallest to the largest. This order helps us make sense of data by following a logical sequence and provides meaningful insights when examining numerical information.
  • Ascending order begins with the lowest value from your dataset.
  • The next smallest number follows, continuing until you reach the highest value.
  • This order allows for easy comparison and analysis of numerical variations.
For example, considering a group of numbers such as 16.0, 32.7, and 46.0, listing them in ascending order would simply start at 16.0, rising progressively to 46.0.
Deciphering Numerical Data
Numerical data is all about numbers鈥攖hese can be integers, decimals, or even complex numbers, but more commonly they are simple numbers we encounter daily. Understanding numerical data is crucial when working to arrange them into any specific order, such as ascending order.
  • Numerical data is often found in lists, tables, or databases.
  • Handling numerical data typically involves operations like sorting, addition, and subtraction among others.
  • Recognition of the data type鈥攚hole numbers versus fractions鈥攁ffects how they are compared in value.
In our example, we are working with numbers like 58.6 and 321.0. Recognizing that 58.6 is less than 321.0 allows us to position them correctly when sorting.
Effective Data Arrangement
Data arrangement is a critical step in understanding and interpreting numerical data effectively. Arranging data means organizing it in a way that makes sense, and sorting is one of the simplest and most effective methods for this.
  • A proper arrangement reveals patterns, trends, and outliers more effortlessly. For instance, noticing that 321.0 stands out among smaller numbers.
  • It simplifies the complexity, converting abstract raw data into more understandable formats.
  • Arranged data is easier to present or visualize in charts and graphs, aiding in communication of findings.
In the given example, starting with the smallest number, like 16.0, and ending with the largest, 321.0, transforms our list into an ordered set that can now be analyzed for further statistical insights or decision-making.

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Most popular questions from this chapter

Perform these steps. a. Find the Spearman rank correlation coefficient. b. State the hypotheses. c. Find the critical value. Use \(\alpha=0.05\). d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Drug Prices Shown are the price for a human dose of several randomly selected prescription drugs and the price for an equivalent dose for animals. At \(\alpha=0.10\), is there a relationship between the variables? $$ \begin{array}{l|llllllll} \text { Humans } & 0.67 & 0.64 & 1.20 & 0.51 & 0.87 & 0.74 & 0.50 & 1.22 \\ \hline \text { Animals } & 0.13 & 0.18 & 0.42 & 0.25 & 0.57 & 0.58 & 0.49 & 1.28 \end{array} $$

For Exercises 5 through \(20,\) perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Ten college students were selected and asked how many soft drinks they drink over a twoweek period. These students were asked to replace some of the soft drinks with water in order to cut down on the amount of soft drinks that they consumed. At \(\alpha=0.10,\) was there a decrease in the amount of soft drinks consumed over a two-week period? The results are shown. $$ \begin{array}{l|cccccccccc} \text { Student } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } & \text { I } & \text { J } \\ \hline \text { Before } & 6 & 12 & 15 & 20 & 18 & 24 & 9 & 7 & 26 & 21 \\ \hline \text { After } & 8 & 10 & 12 & 17 & 14 & 21 & 11 & 8 & 23 & 17 \end{array} $$

Students in Greek organizations at schools throughout the country sent volunteers to a yearly blood drive. The numbers from each randomly selected participating school are listed. Test the claim that there is no difference in the number of students participating from fraternities and sororities at \(\alpha=0.10\). $$\begin{array}{l|l}\text { Fraternities } & 4,5,10,7,7,15,12,11,13,15,12,12 \\\\\hline \text { Sororities } & 3,5,6,7,4,7,10,9,9,14\end{array}$$

Perform these steps. a. Find the Spearman rank correlation coefficient. b. State the hypotheses. c. Find the critical value. Use \(\alpha=0.05\). d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Hospitals and Nursing Homes Find the Spearman rank correlation coefficient for the following data, which represent the number of hospitals and nursing homes in each of seven randomly selected states. At the 0.05 level of significance, is there enough evidence to conclude that there is a correlation between the two? $$ \begin{array}{l|ccccccc} \text { Hospitals } & 107 & 61 & 202 & 133 & 145 & 117 & 108 \\ \hline \text { Nursing homes } & 230 & 134 & 704 & 376 & 431 & 538 & 373 \end{array} $$

For Exercises 5 through \(20,\) perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. A statistics professor wants to investigate the relationship between a student's midterm examination score and the score on the final. Eight students were randomly selected, and their scores on the two examinations are noted. At the 0.10 level of significance, is there sufficient evidence to conclude that there is a difference in scores? $$ \begin{array}{l|rrrrrrrr} \text { Student } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text { Midterm } & 75 & 92 & 68 & 85 & 65 & 80 & 75 & 80 \\ \hline \text { Final } & 82 & 90 & 79 & 95 & 70 & 83 & 72 & 79 \end{array} $$
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