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Chapter 3: Q 3.20. (page 101)

Find the

a. Mean b. median c. models

For the mean and the median, round each answer to one more decimal place than that used for the observations.

Hurricanes. An article by D. Schaefer et al. reported on a long-term study of the effects of hurricanes on tropical streams of the Luquillo Experinental Forest in Puerto Rico. The study shows that Hurricane Hugo had a significant impact on stream water chemistry. The following table shows a sample of 10ammonia fluxes in the first year after Hugo. Data are in kilograms per hectare per year.

96,116,66,57,147,54,147,88,175,154

Short Answer

Expert verified

a)120b)131.5c)147,154

Step by step solution

01

Step 1. Given information. 

We have given data:96,116,66,57,147,54,147,88,175,154.

02

Step 2. Mean of the data. 

Mean=SumofobservationNumberofobservation

=96+66+147+147+175+116+57+154+88+15410=120010=120

03

Step 3. Median of the data. 

Arrange the data in increasing order :57,66,88,96,116,147,147,154,175.

The number of observation is 10.

The median is the mean of the two middle observation in the ordered list.

Median

=116+1472=2632=131.5
04

Step 4. Mode of the data. 

The greatest frequency is the mode of the data set.

Thus, the mode of the data set is147,154.

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Most popular questions from this chapter

Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences, The recommended dietary allowance (RDA) of iron for adult females under the age of 51is 18milligrams (mg) per day. The iron intakes during a 24-hour period for a random sample of45 adult females under the age of 51have a mean of 14.7mgand standard deviation of 3.1mg.

a. Construct a graph .
b. Apply Chebyshev's rule with k=2 to make pertinent statements about the observations in the sample.
c. Repeat part (b) with k=3.

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

1,2,3,4,5,6,1,2,3,4,5,6

The data set has size 40. Approximately how many observations lie within two standard deviations to either side of the mean?

For you to practice finding the descriptive measures mentioned in this part, we have provided simple data sets. Each data set separately.

a) Calculate the quartiles

b) calculate the interquartile range

c)recognize the five-number summary

1,2,3,4,5,6,7

A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6°FThe results of the study by P. Mackowiak et al. appeared in the article "A Critical Appraisal of 98.6°Fthe Upper Limit of the Normal Body Temperature, and Other Legacies of Carl Reinhold August Wunderlich" (Journal of the American Medical Association ). Among other data, the researchers obtained the body temperatures of 93healthy humans. The temperatures had a mean of 98.1°Fand a standard deviation of 0.65°F

a. Construct a graph
b. Apply Chebyshev's rule with k=2 to make pertinent statements about the observations in the sample.
c. Repeat part (b) with k=3
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