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In Exercises, find the (a)mean, (b) median, | Ch 3.2 - 13BSC

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 13BSC Chapter 3.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 13BSC

Lead in Medicine Listed below are the lead concentrations (in μ g / g ) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. The data are based on the article “Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet,” by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8. What do the results suggest about the safety of these medicines? What do the decimal values of the listed amounts suggest about the precision of the measurements?

Step-by-Step Solution:
Step 1 of 3

Problem  13BSC

Answer:

Step1 of 3:

We have Listed below are the lead concentrations (in μ-g/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. The data are based on the article “Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet, “ by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8.

3

6.5

6

5.5

20.5

7.5

12

20.5

11.5

Step2 of 3:

We need to find the (a)mean, (b) median, (c) mode, and (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions.

Step3 of 3:

a)Mean:mean is the average of the numbers and it is given by

Mean() =

             

              =

              =

                = 11.05

Therefore,the mean of the given data is 11.05

b).Median:The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

Write the given data in Ascending order

3

5.5

6

6.5

7.5

11.5

12

17.5

20.5

20.5

   Median = , if the given data is even

              =

              =

                = 9.5

Therefore,the median of the given data is 9.5

c)Mode:The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Here, 20.5 is repeated two times hence the mode value is 20.5

Therefore, Mode = 20.5

d).Midrange:the midrange or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set, defined as: The mid-range is the midpoint of the range  

  Mid-range =

                 =

                 =

                    = 11.75.

Therefore,midrange of the given data is 11.75.

There is not enough information given here to assess the true danger of these drugs, but ingestion of any lead is generally detrimental to good health. All of the decimal values are either 0 or 5, so it appears that the lead concentrations were rounded to the nearest one-half unit of measurement.

 

Step 2 of 3

Chapter 3.2, Problem 13BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

The full step-by-step solution to problem: 13BSC from chapter: 3.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “?Lead in Medicine Listed below are the lead concentrations (in ? g / g ) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. The data are based on the article “Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet,” by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8. What do the results suggest about the safety of these medicines? What do the decimal values of the listed amounts suggest about the precision of the measurements?” is broken down into a number of easy to follow steps, and 106 words. This full solution covers the following key subjects: medicines, lead, listed, Ayurveda, manufactured. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Since the solution to 13BSC from 3.2 chapter was answered, more than 430 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12.

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In Exercises, find the (a)mean, (b) median, | Ch 3.2 - 13BSC