Question 3 Suppose Andrew earns $45,000 EC per month. The average salary for everyone in Andrew’s company is $41, 000 EC per month with a standard deviation of $7, 000 EC. Suppose David earns $38, 000 EC in his company, for which the average salary is $35,000 EC with a standard deviation of $1,700 EC. Suppose the monthly salary in Andrew’s and David’s company follows a normal distribution, explain who is doing better in comparison to their coworkers and why?

Question 3 Suppose Andrew earns $45,000 EC per month. The average salary for everyone in Andrew’s company is $41, 000 EC per month with a standard deviation of $7, 000 EC. Suppose David earns $38, 000 EC in his company, for which the average salary is $35,000 EC with a standard deviation of $1,700 EC. Suppose the monthly salary in Andrew’s and David’s company follows a normal distribution, explain who is doing better in comparison to their coworkers and why?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 11PPS

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Question

Question 3
Suppose Andrew earns $45,000 EC per month. The average salary for everyone in Andrew’s
company is $41, 000 EC per month with a standard deviation of $7, 000 EC. Suppose David
earns $38, 000 EC in his company, for which the average salary is $35,000 EC with a standard
deviation of $1,700 EC. Suppose the monthly salary in Andrew’s and David’s company follows
a normal distribution, explain who is doing better in comparison to their coworkers and why?

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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