The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita consumption of oranges (in pounds) is 19.2 with a standard deviation of 4 pounds.What annual per capita consumption of oranges represents the 5th percentile?What annual per capita consumption of oranges represents the third quartile? •The time spent (in days) waiting for a heart transplant in Ohio and Michigan for patients with A+ blood can be approximated by a normal distribution with a mean waiting time of 127 days and a standard deviation of 23.5 days. What is the minimum time spent waiting for a heart that would place a patient in the top 30% of waiting times?In a certain year, the nationwide SAT verbal score averaged 430 with a standard deviatioh of 96. Assuming a normal distribution and continuous scores over the scale, between what two values would you expect to find the middle 90% of SAT verbal scores in the year noted?The number of calories consumed per day for children is normally distributed with a mean of 1544 and a standard deviation of 342. What percentage of children consumes more than 1800 calories per day?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

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1. The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita consumption of oranges (in pounds) is 19.2 with a standard deviation of 4 pounds.
  1. What annual per capita consumption of oranges represents the 5^thpercentile?
  2. What annual per capita consumption of oranges represents the third quartile? •
2. The time spent (in days) waiting for a heart transplant in Ohio and Michigan for patients with A+ blood can be approximated by a normal distribution with a mean waiting time of 127 days and a standard deviation of 23.5 days. What is the minimum time spent waiting for a heart that would place a patient in the top 30% of waiting times?
3. In a certain year, the nationwide SAT verbal score averaged 430 with a standard deviatioh of 96. Assuming a normal distribution and continuous scores over the scale, between what two values would you expect to find the middle 90% of SAT verbal scores in the year noted?
4. The number of calories consumed per day for children is normally distributed with a mean of 1544 and a standard deviation of 342. What percentage of children consumes more than 1800 calories per day?

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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