Answered: NCAA Scholarships. The NCAA estimates…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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Question

NCAA Scholarships. The NCAA estimates that the yearly value of a full athletic
scholarship at in-state public universities is $19,000 (The Wall Street Journal). Assume
the scholarship value is normally distributed with a standard deviation of $2,100.
a. For the 10% of athletic scholarships of least value,
how much are they worth?
b. What percentage of athletic scholarships are valued at $22,000 or more?
c. For the 3% of athletic scholarships that are most valuable, how much are they worth?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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