viation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 15% on the College Boards to join. (a)What score is required to be invited to join the club? (b) What score separates the top 75% of the population fr

viation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 15% on the College Boards to join. (a)What score is required to be invited to join the club? (b) What score separates the top 75% of the population fr

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 15% on the College Boards to join.

(a)What score is required to be invited to join the club?

(b) What score separates the top 75% of the population from the bottom 25%?

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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