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Chapter 3: Q. 3.153 (page 136)
Regarding the interquartile range,
(a) What type of descriptive nature is it?
(b) What does it measure?
(a) The interquartile range is the difference between the first quartile and third quartile.
(b) The interquartile range is a measure of variability.
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Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article 鈥淏ody Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania鈥� (Australian Journal of Zoology, Vol. 60, No. 3, pp. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of Tasmania. The weights of the male lowland copperhead in Tasmania have a mean of 812.07 g and a standard deviation of 330.24 g; the weights of the male tiger snake in Tasmania have a mean of 743.65 g and a standard deviation of 336.36 g.
a. Determine the z-scores for both a male lowland copperhead snake and a male tiger snake whose weights are 850 g.
b. Under what conditions would it be reasonable to use z-scores to compare the relative standings of the weights of the two snakes?
c. Assuming that a comparison using z-scores is legitimate, relative to the other snakes of its type, which snake is heavier?
Determine the age and sample standard deviation for each of the due sets. For the sample standard deviation round each answer to one more decimal place than that used for the observation.
Tornado Touchdowns. Each year, tornadoes that touch down are recorded by the Storm Prediction Center and published in Months Tomade Statistics. The following table gives the number of tornadoes that touched down in the United States during each month of one year [SOURCE: National Oceanic and Atmospheric Administration
State pertinent properties of boxplots for symmetric, left-skewed and right-skewed distributions.
Why you use the standard deviation as a measure of variation. What is the reference point.
Atlantic Basin Hurricanes. The Tropical Cyclone Report, a publication of the National Hurricane Center, contains comprehensive information on each tropical cyclone, including synoptic history, meteorological statistics, casualties, and damages. A hurricane is a tropical cyclone with winds that have reached a constant speed of or more. During one year, there were Atlantic basin hurricanes. Their maximum wind speeds, in miles per hour (), were as shown in the following table.
Consider these storms a population of interest. Obtain the following parameters for the maximum wind speeds. Use the appropriate mathematical notation for the parameters to express your answers.
a. Mean
b. Standard deviation
c. Median
d. Mode
e. IQR
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