Chapter 3: Descriptive Measures

High and Low Temperatures. The U.S. National Oceanic and Atmospheric Administration publishes temperature data in Climatography of the United States. According to that document, the annual average maximum and minimum temperatures for selected cities in the United States are as provided on the WeissStats site. [Note: Do parts (a)-(c) for both the maximum and minimum temperatures.]

a. Obtain the mean, median, and mode(s) of the data. Determine which of these measures of center is best, and explain your answer:

b. Determine the range and sample standard deviation of the data.

c. Find the five-number summary and interquartile range of the data.

d. Identify potential outliers. if any:

e. Obtain and interpret a boxplot.

The U.S National Oceanic and Atmosphere Administrations publishes temperature data in Climatography of United States. According to that document, the annual average maximum and minimum temperatures for selected cities in the United States are as provided on the Weissstats site.

a. obtain the mean, median and mode(s) of the data. Determine which of these measures of center is best and explain your answer.

b. determine the range and sample standard deviation of the data.

c. find the five-number summary and interquartile range of the data.

d. identify potential outliers, if any

e. obtain and interpret a boxplot.

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 $10$ammonia fluxes in the first year after Hugo. Data are in kilograms per hectare per year.

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

Heights of Basketball Players. This exercise requires that you have first done Exercise $3.199$. In Example $3.12$on page $109$, we found that, considering the five starting players on Team II a sample of all male starting college basketball players, the mean and standard deviation of the heights are $75inches$and $6.2inches$. respectively. Explain why, numerically, the sample mean of $75inches$ is the same as the population mean found in Exercise$3.199\left(a\right)$ but that the sample standard deviation of $6.2inches$ differs from the population standard deviation found in Exercise $3.199\left(b\right)$.

We have provided simple data for you to practice the basics of finding:

(a) Population mean

(b) Population standard deviation

Data is$4,0,5$

We have provided simple data sets for you to practice the basics of finding

(a) Population mean

(b) Population standard deviation

Data is$3,5,7$

We have provided simple data sets for you to practice the basics of finding

(a) Population mean

(b) Population standard deviation

Data is$1,2,4,4$

We have provided simple data sets for you to practice the basics of finding

(a) Population mean

(b) Population standard deviation

Data is$1,9,8,4,3$

In Exercises $3.201-3.206$, we have provided simple data sets for you to practice the basics of finding a

a. population mean

b. population standard deviation

$3.2051,9,8,4,3$

In Exercises 3.201-3.206, we have provided simple data sets for you to practice the basics of finding a

a. population mean

b. population standard deviation

3.205$4,2,0,2,2$