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

5.7

4.4

1.9

8.7

3.9

6.8

(a) Find the mean, median, and mode. (Round your answers to two decimal places.)

mean
median
mode

(b) Find the sample standard deviation, coefficient of variation, and range. (Round your answers to two decimal places.)

s
CV	%
range

(c) Based on the data, would you recommend radon mitigation in this house? Explain.

Yes, since the median value is over "acceptable" ranges, although the mean value is not.Yes, since the average and median values are both over "acceptable" ranges.    No, since the average and median values are both under "acceptable" ranges.Yes, since the average value is over "acceptable" ranges, although the median value is not.

Answer 1

a) From the given data

Mode :
In the given data, the observation 1.9 occurs maximum number of times (2)
∴Z = MODE = 1.9

b) From the given data

Range = Maximum value - minimum value = 6.8 - 1.9 = 4.9

(C) Correct answer: Option (B) Yes, since the average and median values are both over "acceptable" ranges.