Answered: "Radon: The Problem No One Wants to…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter1: Variables, Expressions, And Integers

Section1.5: Adding Integers

Problem 45E

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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

2.3

5.7

4.4

1.9

8.8

3.9

(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.)

s
CV	%
range

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. 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.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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