Answered: SAT or ACT? Each year thousands of high…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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SAT or ACT? Each year thousands of high school
students take either the SAT or the ACT, 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 use very different scales, comparisons of
performance are difficult. A convenient rule of thumb
is SAT = 40 * 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 follow-
ing 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

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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