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Probability & Statistics Unit 1.notebook
February 06, 2015
SAT or ACT: Each year thousands of high school students take either the ACT or the SAT,
standardized tests used in the college admissions process. Combined SAT Math and Verbal
Scores go as high as 1600, while the maximum ACT composite score is 36. Since the two
exams are very different scales, comparisons of performance are difficult. A convenient rule
of thumb is SAT = 40 X ACT + 150; That is multiply an ACT score by 40 and add 150 points
to estimate the equivalent SAT score.
An admissions officer reported the following statistics about the ACT scores of 2355 students
who applied to her college one year. Find the summaries of equivalent SAT scores.
Lowest Score = 19
Mean = 27
Standard Deviation = 3
Q3 = 30
Median = 28
IQR = 6
This is a question forcing you to consider shifts and scalar
multiplication at the same time!
In statistics, we love to talk about things that stand out.
When we are dealing with a specific datum, we can determine
whether or not it is an outlier. (1.5 X IQR) or a
far outlier (3 X IQR).
When data is approximately normal, we can discuss whether a
datum is
values are values that fall more than 2 standard deviations
from the mean.
values are those that fall more than 3 standard
deviations from the mean.
Probability & Statistics Unit 1.notebook
February 06, 2015