The wingspans of adult herons are approximately normally distributed with a mean of 126 cm and a standard deviation of 13.2 cm. Determine the proportion of herons that have wing spans less than 89 cm. Round your answer to 4 decimal places.The largest 5 percent herons have wingspans of _____ cm or more. Round your answer to 1 decimal place.The middle 75 percent of herons have wingspans between _____ and _____ cm. Round your answers to 1 decimal place. Put the smaller answer on the left and the larger answer on the right. Determine the proportion of herons which have wingspans between 100 and 152 cm. Round your answer to 4 decimal places.Determine the proportion of herons which have wingspans greater than 155 cm. Round your answer to 4 decimal places.The smallest 20 percent of herons have wingspans of _____ cm or less. Round your answer to 1 decimal place.

It is assumed that denote the wingspan of adult herons.The random variable follows the normal…

Answered: The wingspans of adult herons are…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 8PPS

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The wingspans of adult herons are approximately normally distributed with a mean of 126 cm and a standard deviation of 13.2 cm.

Determine the proportion of herons that have wing spans less than 89 cm. Round your answer to 4 decimal places.
The largest 5 percent herons have wingspans of _____ cm or more. Round your answer to 1 decimal place.
The middle 75 percent of herons have wingspans between _____ and _____ cm. Round your answers to 1 decimal place. Put the smaller answer on the left and the larger answer on the right.
Determine the proportion of herons which have wingspans between 100 and 152 cm. Round your answer to 4 decimal places.
Determine the proportion of herons which have wingspans greater than 155 cm. Round your answer to 4 decimal places.
The smallest 20 percent of herons have wingspans of _____ cm or less. Round your answer to 1 decimal place.

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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