Approximately 1.5 million high school students take the SAT each year and nearly 80%of the college and universities without open admissions policies use SAT scores in makingadmission decisions (College board, March 2009). The current version of the SAT includesthree parts: reading comprehension, mathematics, and writing. A perfect combined scorefor all three parts is 2400. A sample of SAT scores for the combined three-part SAT areas follows:1665 1525 1355 1645 17801275 2135 1280 1060 15851650 1560 1150 1485 19901590 1880 1420 1755 13751475 1680 1440 1260 17301490 1560 940 1390 1175a. Show a frequency distribution and histogram. begin with the first class starting at 800and use a class width of 200.b. Comment on the shape of the distribution.c. what other observations can be made about the SAT scores based on the tabular andgraphical summaries?
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.
Approximately 1.5 million high school students take the SAT each year and nearly 80%
of the college and universities without open admissions policies use SAT scores in making
admission decisions (College board, March 2009). The current version of the SAT includes
three parts: reading comprehension, mathematics, and writing. A perfect combined score
for all three parts is 2400. A sample of SAT scores for the combined three-part SAT are
as follows:
1665 1525 1355 1645 1780
1275 2135 1280 1060 1585
1650 1560 1150 1485 1990
1590 1880 1420 1755 1375
1475 1680 1440 1260 1730
1490 1560 940 1390 1175
a. Show a frequency distribution and histogram. begin with the first class starting at 800
and use a class width of 200.
b. Comment on the shape of the distribution.
c. what other observations can be made about the SAT scores based on the tabular and
graphical summaries?
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