/*! 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 60 Give the correct notation for th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 60

Give the correct notation for the mean. The average number of television sets owned per household for all households in the US is 2.6 .

Short Answer

Expert verified
\(\mu = 2.6\)

Step by step solution

01

Identify the variable

Here, the variable is the number of television sets owned per household in the US.
02

Identify the value of the mean

The mean value given in the problem is 2.6. This is the average number of television sets owned per household in the US.
03

Write the mean in correct notation

In statistics, the mean is commonly represented by the Greek letter 'mu' (\(\mu\)). So, we would write this as \(\mu = 2.6\) to mean the average number of television sets owned per household in the US is 2.6.

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!

Key Concepts

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

Understanding the Mean
The mean, often referred to as the average, is a measure of central tendency. It helps us find the "central" value in a set of numbers. To calculate the mean, add up all the numbers and divide by how many numbers there are. It鈥檚 a simple way to understand the overall level or trend in a dataset.
For example, if the number of TVs owned by 5 households is [2, 3, 2, 5, 1], the mean would be:
  • Add all the TVs: 2 + 3 + 2 + 5 + 1 = 13
  • Divide by the number of households: 13/5 = 2.6
This gives us a mean of 2.6 TVs per household. The mean provides a snapshot of the general pattern or tendency within the data. It's especially useful when comparing different groups of data.
The Use of Greek Letters in Statistics
In statistics, Greek letters are commonly used to symbolize certain concepts or measures. Greek letters can simplify communication across many languages and scientific fields. When we talk about the mean of a population, we often use the Greek letter 'mu' ( \( \mu \) ). This concise symbol helps in expressing statistical formulas and results easily.
For example:
  • \( \mu \) = mean of a population
  • \( \sigma \) = standard deviation of a population
  • \( \pi \) = proportion in a population
Using Greek letters ensures consistency and clarity when discussing statistical concepts across different datasets and studies. It allows statisticians to convey complex ideas succinctly.
Effective Data Representation
Data representation is crucial for understanding and communicating information effectively. The way we present data can impact how easily others can interpret it. There are several methods of representing data, such as:
  • Charts and Graphs: Visual tools like bar charts, line graphs, and pie charts can make trends and patterns more evident.
  • Tables: Provide a structured way to display data, making it easy to compare individual values.
  • Use of Notation: Accurate notations, like using \( \mu = 2.6 \) to denote the average, provide clarity.
By representing data effectively, we not only enhance understanding but also encourage better-informed decision-making. Clear representation ensures that insights are accessible to all audiences, supporting both analysis and communication.

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

Arsenic in Toenails Arsenic is toxic to humans, and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised an interesting new way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study, \(, 9\) scientists measured the level of arsenic (in \(\mathrm{mg} / \mathrm{kg}\) ) in toenail clippings of eight people who lived near a former arsenic mine in Great Britain. The following levels were recorded: \(\begin{array}{llllll}0.8 & 1.9 & 2.7 & 3.4 & 3.9 & 7.1\end{array}\) \(\begin{array}{ll}11.9 & 26.0\end{array}\) (a) Do you expect the mean or the median of these toenail arsenic levels to be larger? Why? (b) Calculate the mean and the median. 2.62 Fiber in the Diet The number of grams of fiber eaten in one day for a sample of ten people are \(\begin{array}{ll}10 & 11\end{array}\) \(11 \quad 14\) \(\begin{array}{llllll}15 & 17 & 21 & 24 & 28 & 115\end{array}\) (a) Find the mean and the median for these data. (b) The value of 115 appears to be an obvious outlier. Compute the mean and the median for the nine numbers with the outlier excluded. (c) Comment on the effect of the outlier on the mean and on the median.

Online Cat Videos In Exercise 1.59 on page 28 , we introduced a study looking at the effect of watching cat videos on mood and energy. The authors asked participants how many cats they currently own and report 2.39 as the measure of center for this right-skewed distribution. (a) Is this measure of center the mean number of cats or the median number of cats? (Hint: Think about how the two numbers are calculated.) (b) Would we expect the mean number of cats to be greater than or less than the median?

Indicate whether the five number summary corresponds most likely to a distribution that is skewed to the left, skewed to the right, or symmetric. (100,110,115,160,220)

US Obesity Levels by State over Many Years Exercise 2.237 deals with some graphs showing information about the distribution of obesity rates in states over three different years. The website http://stateofobesity.org/adult- obesity/ shows similar graphs for a wider selection of years. Use the graphs at the website to answer the questions below. (a) What is the first year recorded in which the 15 \(19 \%\) category was needed, and how many states are in that category in that year? What is the first year the \(20-24 \%\) category was needed? The \(25-29 \%\) category? The \(30-34 \%\) category? The \(35 \%+\) category? (b) If you are in the US right now as you read this, what state are you in? In what obesity rate category did that state fall in \(1990 ?\) In what category is it in now? If you are not in the US right now as you read this, find out the current percent obese of the country you are in. Name a state (and year, if needed) which roughly matches that value.

Give the correct notation for the mean. The average number of yards per punt for all punts in the National Football League is 41.5 yards.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Probability and 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.