5000 students took the Senior Highschool Admission Test of the University. The distribution of scores is normally distributed with a mean of 60 and a standard deviation of 15. 1. Find the percentage of scores below a score of 80. 2. How many scores are found between the scores of 40 and 60 3. If the Senior High School Department only admits the upper 2% of the distribution, what is the passing score? (round to the nearest whole number)

5000 students took the Senior Highschool Admission Test of the University. The distribution of scores is normally distributed with a mean of 60 and a standard deviation of 15. 1. Find the percentage of scores below a score of 80. 2. How many scores are found between the scores of 40 and 60 3. If the Senior High School Department only admits the upper 2% of the distribution, what is the passing score? (round to the nearest whole number)

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

5000 students took the Senior Highschool Admission Test of the University. The distribution of scores is
normally distributed with a mean of 60 and a standard deviation of 15.
1. Find the percentage of scores below a score of 80.
2. How many scores are found between the scores of 40 and 60
3. If the Senior High School Department only admits the upper 2% of the distribution, what is the passing score?
(round to the nearest whole number)
4. If the passing score is 85, how many students will pass the test?

Please show solution. Thank you!

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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