"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.

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"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 

 

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