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Most frequent age group: with 9 runners c. Category A values for x are always associated with category 1 values for y.
Category B values for x are usually associated with category 1 values for y. Category C values for x are usually associated with category 2 values for y. Higher values of x are associated with lower values of y and vice versa Average Miles per Hour Make Year Average Speed Total It appears that most of the faster average winning times occur before This could be due to new regulations that take into account driver safety, fan safety, the environmental impact, and fuel consumption during races.
The crosstabulation of condition of the greens by gender is below. So, for the low handicappers, the men show a higher percentage who think the greens are too fast. So, for the higher handicap golfers, the men show a higher percentage who think the greens are too fast. This is an example of Simpson's Paradox.
At each handicap level a smaller percentage of the women think the greens are too fast. But, when the crosstabulations are aggregated, the result is reversed and we find a higher percentage of women who think the greens are too fast. The hidden variable explaining the reversal is handicap level. Fewer people with low handicaps think the greens are too fast, and there are more men with low handicaps than women. Fund Type The right margin shows the frequency distribution for the fund type variable and the bottom margin shows the frequency distribution for the 5 year average return variable.
Higher returns are associated with International Equity funds and lower returns are associated with Fixed Income funds. The top three states for bankruptcies over this time period are Georgia 86 , Florida 69 and Illinois The frequency distribution over time appears below.
Bank failures surged in and and then began decreasing in and Midsize and Compact seem to be more fuel efficient than Large. Higher fuel efficiencies are associated with front wheel drive cars. Higher fuel efficiencies are associated with cars that use regular gas.
There is a negative relationship between x and y; y decreases as x increases. For midsized cars, lower driving speeds seem to yield higher miles per gallon. Snowfall inches 80 60 40 20 0 30 40 50 60 70 80 Avg. Low Temp b. Colder average low temperature seems to lead to higher amounts of snowfall.
Two cities have an average snowfall of nearly inches of snowfall: Buffalo, N. Y and Rochester, NY. Both are located near large lakes in New York. The percentage of people with hypertension increases with age. For ages earlier than 65, the percentage of males with hypertension is higher than that for females.
After age 65, the percentage of females with hypertension is higher than that for males. After an increase in age , smartphone ownership decreases as age increases. The percentage of people with no cell phone increases with age. There is less variation across age groups in the percentage who own other cell phones.
Unless a newer device replaces the smartphone, we would expect smartphone ownership would become less sensitive to age. This would be true because current users will become older and because the device will become to be seen more as a necessity than a luxury. Class Frequency 1 3 6 10 7 2 1 Total 30 12 10 8 Frequency 6 4 2 0 SAT Score b. The distribution if nearly symmetrical. It could be approximated by a bell-shaped curve.
The average SAT score looks to be a little over Scores below or above are unusual. Florida and California have been the states with the most Super Bowls. The most frequent winning points have been 0 to 4 points and 15 to 19 points. Both occurred in 10 Super Bowls. The closest games was the 25th Super Bowl with a 1 point margin. It was played in Florida. The largest margin of victory occurred one year earlier in the 24 th Super Bowl. It had a 45 point margin and was played in Louisiana.
More detailed information not available from the text information. This data set can be used in Chapter 2 and Chapter 3 to provide interesting data summaries about the points scored by the winning team and the points scored by the losing team in the Super Bowl.
For example, using the median scores, the median Super Bowl score was 28 to The largest state is California The cellular phone providers had the highest number of complaints. The percentage frequency distribution shows that the two financial industries banks and collection agencies had about the same number of complaints. Also, new car dealers and cable and satellite television companies also had about the same number of complaints.
The most frequent range is 3. General Electric had an unusually high dividend yield of 9. The combined or aggregated two-year crosstabulation is as follows: Combined 2-Year Batting Outcome A.
Fealey E. The recommendations in parts a and b are not consistent. Note: The authors prefer the recommendation to offer the scholarship to Emily Janson because it is based upon the aggregated performance for both players over a larger number of at-bats.
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