"Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from the ground that can collect in houses and buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered "acceptable." Radon levels in a house vary from week to week. In one house, a sample of 8 weeks had the following readings for radon level (in pCi/L). 1.9 2.1 5.7 4.8 1.9 8.7 3.9 6.6 n USE SALT (a) Find the mean, median, and mode. mean median mode (b) Find the sample standard deviation, coefficient of variation, and range. (Round your standard deviation to four decimal places and your coefficient of variation to two decimal places.) CV % range (c) Based on the data, would you recommend radon mitigation in this house? Explain. O Yes, since the average and median values are both over "acceptable" ranges. O Yes, since the average value is over "acceptable" ranges, although the median value is not. O No, since the average and median values are both under "acceptable" ranges.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
"Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from the ground that
can collect in houses and buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A
radon level of 4 pCi/L is considered "acceptable." Radon levels in a house vary from week to week. In one house, a sample of 8 weeks had the
following readings for radon level (in pCi/L).
1.9 2.1 5.7 4.8 1.9 8.7 3.9 6.6
In USE SALT
(a) Find the mean, median, and mode.
mean
median
mode
(b) Find the sample standard deviation, coefficient of variation, and range. (Round your standard deviation to four decimal places and your
coefficient of variation to two decimal places.)
CV
%
range
(c) Based on the data, would you recommend radon mitigation in this house? Explain.
Yes, since the average and median values are both over "acceptable" ranges.
Yes, since the average value is over "acceptable" ranges, although the median value is not.
No, since the average and median values are both under "acceptable" ranges.
Yes, since the median value is over "acceptable" ranges, although the mean value is not.
Transcribed Image Text:"Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from the ground that can collect in houses and buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered "acceptable." Radon levels in a house vary from week to week. In one house, a sample of 8 weeks had the following readings for radon level (in pCi/L). 1.9 2.1 5.7 4.8 1.9 8.7 3.9 6.6 In USE SALT (a) Find the mean, median, and mode. mean median mode (b) Find the sample standard deviation, coefficient of variation, and range. (Round your standard deviation to four decimal places and your coefficient of variation to two decimal places.) CV % range (c) Based on the data, would you recommend radon mitigation in this house? Explain. Yes, since the average and median values are both over "acceptable" ranges. Yes, since the average value is over "acceptable" ranges, although the median value is not. No, since the average and median values are both under "acceptable" ranges. Yes, since the median value is over "acceptable" ranges, although the mean value is not.
Expert Solution
Step 1

Descriptive statistics : 

There are several descriptive statistics which are values that give a view of the distribution of data. The measure of central tendency are mean, median, and mode while the description of the variation of data is the range, standard deviation and coefficient of variation

Given Information : 

"Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from the ground that can collect in houses and buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered "acceptable." Radon levels in a house vary from week to week. In one house, a sample of 8 weeks had the provided readings for radon level (in pCi/L).  

(a)

  • The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have: 

Mean=Sum of termsNumber of terms 

Here, Sum of terms = 1.9 + 2.1 + .. + 6.6 = 35.6 

Number of terms = 8 

Therefore , 

Mean=Sum of termsNumber of terms=35.68 

Mean : x¯ = 4.45 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman