Use the two frequency tables to compare the life expectancy of men and women from 20 randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers.Life Expectancy at Birth – Women Frequency49–55 356–62 363–69 170–76 277–83 884–90 3Life Expectancy at Birth – Men Frequency49–55 356–62 363–69 170–76 177–83 784–90 5Construct an overlayed frequency polygon. Describe the shapes of the distributions.The graphs for men and women are both symmetric.The graphs for men and women are both skewed to the right. The graphs for men and women are both skewed to the left.The graph for women is skewed to the left and the graph for men is symmetric.The graph for women is symmetric and the graph for men is skewed to the right.What can we conclude about the life expectancy of women compared to men?The graphs show that a larger proportion of men in this sample have a life expectancy greater than women. Therefore, we can conclude that men tend to live slightly longer than women in this sample.The graphs show that the men and women in this sample have about the same life expectancy. Therefore, we can conclude that neither men nor women live longer than the other. The graphs show that a larger proportion of women in this sample have a life expectancy greater than men. Therefore, we can conclude that women tend to live slightly longer than men in this sample.
Question
Use the two frequency tables to compare the life expectancy of men and women from 20 randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers.Life Expectancy at Birth – Women Frequency49–55 356–62 363–69 170–76 277–83 884–90 3Life Expectancy at Birth – Men Frequency49–55 356–62 363–69 170–76 177–83 784–90 5Construct an overlayed frequency polygon. Describe the shapes of the distributions.The graphs for men and women are both symmetric.The graphs for men and women are both skewed to the right. The graphs for men and women are both skewed to the left.The graph for women is skewed to the left and the graph for men is symmetric.The graph for women is symmetric and the graph for men is skewed to the right.What can we conclude about the life expectancy of women compared to men?The graphs show that a larger proportion of men in this sample have a life expectancy greater than women. Therefore, we can conclude that men tend to live slightly longer than women in this sample.The graphs show that the men and women in this sample have about the same life expectancy. Therefore, we can conclude that neither men nor women live longer than the other. The graphs show that a larger proportion of women in this sample have a life expectancy greater than men. Therefore, we can conclude that women tend to live slightly longer than men in this sample.
Solution
To answer this question, we first need to construct the frequency polygons for both men and women.
Step 1: Construct Frequency Polygons A frequency polygon is a graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes. The midpoints of the classes in this case would be the middle values of the life expectancy ranges.
For women, the midpoints would be 52, 59, 66, 73, 80, and 87. For men, the midpoints would be the same.
Plot these midpoints on the x-axis and the corresponding frequencies on the y-axis. Connect the points to form the polygons.
Step 2: Describe the Shapes of the Distributions Looking at the frequency tables, both distributions appear to be skewed to the right. This means that the tail on the right side of the distribution is longer or fatter than the left side.
Step 3: Discuss the Center and Spread The center of a distribution is its median. Since these are skewed distributions, the median would not be the midpoint of the range, but rather, it would be closer to the tail. The spread of a distribution refers to how much the data values vary. Looking at the frequency tables, it appears that the life expectancy for women has a slightly larger spread than for men, as the frequencies for women are more spread out.
Step 4: Identify Outliers Outliers are data points that are significantly different from the others. In this case, there don't appear to be any outliers as all data points fall within the expected range.
Step 5: Conclusion From the graphs, it appears that a larger proportion of women in this sample have a life expectancy greater than men. Therefore, we can conclude that women tend to live slightly longer than men in this sample.
Similar Questions
The World Bank collects information on the life expectancy of a person (in years) in each country and the fertility rate (children per woman) in the country. The data for 23 randomly selected countries for a certain year are in the table below.X, fertility rate Y, average life expectancy2.6 731.7 77.22 78.21.5 763.9 72.31.4 80.71.8 755.2 55.92.6 68.96.9 54.21.4 82.64.7 62.92.1 78.32.9 72.14.2 666.8 54.42.4 67.12.2 69.92.1 76.41.5 73.35.8 55.42.8 70.82.5 74.2a) State the random variables. rv X = of rv Y = of b) The symbol and value of the correlation coefficient are as follows: Round final answer to 3 decimal places. = Interpret this value:There is a strong relation between fertility rate and average life expectancy for countries.c) The symbol and value of the coefficient of determination are as follows: Round final answer to 3 decimal places. = Interpret this value:About % of the explained by the linear model with as its variable.
Fill in the Blank QuestionFill in the blank question.When looking at life expectancy tables, the life expectancy of a female at age 25 is 57. 57 is the number of additional, or remaining, years a female may expect to live.
Which statement is true of life expectancy?Group of answer choicesThe life expectancy at birth is higher for males than for females in almost all societies.In the United States, the average life expectancy for males was 81 years, while it was 76 for females.Women in Hong Kong rank at the top in terms of life expectancy.By region, life expectancy is lowest in Western and Southern Europe.
Research on gender differences in life expectancy suggests thatGroup of answer choicesWhite women live longer than White men, but there are no substantial gender differences in life expectancy for Black women and Black men.women live longer than men in almost every country in the worldwomen have a significant advantage over men in terms of morbidity.men and women are similar in their life expectancy once the data are corrected for gender differences in genetic and hormonal factors
Question 1.Life expectancy at birth means:(a) average expected length of life of a person at the time of birth(b) average expected length of life of a person at the time of death(c) average expected length of a child at the time of birth(d) None of the aboveQuestion 2.Which one of the following is the most important attribute while comparing the level ofdevelopment of various countries?(a) Population(b) Social status of the people(c) Political status(d) Per capita incomeQuestion 3.Underemployment occurs when people:(a) do not want to work(b) are working in a lazy manner(c) are working less than what they are capable of doing(d) are not paid for their workQuestion 4.One common development goal among the people is:(a) family(b) freedom(c) income(d) securityQuestion 5.Which one of the following is not a feature of developing country?(a) Agriculture as the major occupation(b) High technological development(c) Mass poverty(d) Mass illiterac
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