Percentage of U.S. College Freshmen with an Average Grade of A (A- to A+) in High School 60% 53% 48% 50% 43% 40% 29% 30% 27% 20% 10% 1980 1990 2000 2010 2013 Year Percentage of College Freshmen with an A High School Average 4x + 25, 5 P
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The bar graph shows the percentage of U.S. college freshmen with an average grade of A in high school.The data displayed by the bar graph can be described by the mathematical modelwhere x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in high school
a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much?
b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.
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