Statistics and Probability Answers

(3.2.29) Use the​ F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 4.0. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the​ data, 1.0.

The estimated standard deviation is 0.5less/greater or within the actual standard deviation.​ Thus, the estimated standard deviation is/isnot substantially different from the actual standard deviation.

(3.2.23) Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Does there appear to be a​ difference? Find the coefficient of variation for each of the two​ samples; then compare the variation.
Male 88,69,63,71,71,52,65,54,83,70,64,63,99,56,65
Female 67,84,82,70,76,85,86,85,87,88,94,72,86,79,80

Joe can take a taxi, Uber, the metro or his electric car to the
airport, where he can board one of the 12 flights to his
destination. In how many ways can he complete his journey?

A student selects one even number and one odd number from
the first 10 even numbers and first 11 odd numbers. How
many combinations can there be?

(3.2.21) A sample of blood pressure measurements is taken for a group of​ adults, and those values​ (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Find the coefficient of variation for each of the two​ samples; then compare the variation.
Systolic 119,128,157,94,157,121,118,136,125,122
Diastolic 79,76,75,54,89,88,60,65,73,83,

A child can have one out of 7 toys, one out of 5 pets, and one
out of 4 pastries. How many combinations are there?

(3.2.15) Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are the statistics representative of the current population of all​ people?
8.6,9.2,8.8,9.3,8.5,9.9,10.2,8.9,10.2,10.5,9.7

Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results.
Listed below are the measured radiation absorption rates​ (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of​ variation, are the results typical of the population of cell phones that are in​ use?
0.74,0.72,1.38,0.67,1.09,0.76,1.08,0.96,0.74,0.98,0.87

(3.2.9) Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of​ variation? (include whether its in year, years^2,hurricanes,hurricane^2)
16,1,12,1,20,3,5
18,19,7,18,12,4,20

Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. How useful are the measures of variation for someone searching for a​ room?
91,77,250,241,120,258,137,135