Answered: Colleges announce an "average" SAT…

Name: Colleges announce an "average" SAT score for their entering freshmen.
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Colleges announce an "average" SAT score for their entering freshmen. Usually the college would like this "average" to be as high as possible. A NewYork Times article noted, "Private colleges that buy lots of top students with merit scholarships pref

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

Colleges announce an "average" SAT score for their entering freshmen. Usually the college would like this "average" to be as high as possible. A NewYork Times article noted, "Private colleges that buy lots of top students with merit scholarships prefer the mean, while open-enrollment public instituions like medians." Use what you know about the behavior of means and medians to explain these differences.

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.

Expert Solution

Step 1

Given

Private colleges prefer Mean to calculate an average score

Open enrolment public institutes prefer median to calculate an average score

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions