What is the shape of the male life expectancy distribution? What is greater the mean or the median? Considering the histogram, do you think it’s unusual for a male to live over 86 years old ? Why or why not What is the probability for a random sample of 36 males, their mean age of death will be greater than 86? Would this sample be considered unusual? 4500.04000.03500.03000.02500.02000.01500.01000.0500.00.01015 20 25 30 35 40 45 5055606570 75 80 8590 95 100Age at time of death for 100,000 malesFor example, approximately 1,000 men would die at the age of 65. The mean lifes-pan for the male population is 79 years. The standard deviation for this populationis 15 years.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 18HP

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What is the shape of the male life expectancy distribution? What is greater the mean or the median? Considering the histogram, do you think it’s unusual for a male to live over 86 years old ? Why or why not What is the probability for a random sample of 36 males, their mean age of death will be greater than 86? Would this sample be considered unusual?

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Age at time of death for 100,000 males
For example, approximately 1,000 men would die at the age of 65. The mean lifes-
pan for the male population is 79 years. The standard deviation for this population
is 15 years.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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