How many applicants got a score of 80 and above? b. How many applicants got a score of 70 and below? c. How many applicants got a score from 70 to 80? d. What is the lowest score of applicants for interview if only the top 15% will be considered?

How many applicants got a score of 80 and above? b. How many applicants got a score of 70 and below? c. How many applicants got a score from 70 to 80? d. What is the lowest score of applicants for interview if only the top 15% will be considered?

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

TOPIC: Applications of Standard Normal Distribution

2. The scores of 400 applicants who took the examination in a certain company approximate a normal distribution, with a mean of 75 and a standard deviation of 5.

a. How many applicants got a score of 80 and above?

b. How many applicants got a score of 70 and below?

c. How many applicants got a score from 70 to 80?

d. What is the lowest score of applicants for interview if only the top 15% will be considered?

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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