Answered: rhea and nick are comparing their…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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rhea and nick are comparing their recent midterm scores.rhea received a 95 on the midterm and nick received an 84 on the midterm. However, they are in different classes and their exams were slightly different. The mean midterm score in rhea class was 82 with a standard deviation of 10 points. The mean midterm score in nick's class was 75 with a standard deviation of 10. Both tests were normally distributed.

a.) What percentage of test scores were below each students’ score on their respective tests?

b.) Which student did better on the midterm? What evidence did you use to come to this conclusion?

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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