Mathematics 5D

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According to the video, the bar for the number of male events has a height corresponding to points.

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According to the video, what data on the pictograph is not statistically meaningless? Choose the correct answer below.

The bar graph

Consider the accompanying data on various causes of deaths in a certain region in selected years since 1980. Use StatCrunch to create a stack plot showing the percentage of deaths due to each of the five causes with a separate slice for each cause. Click the icon to view the data on various causes of death.

Choose the correct answer below. Click the icon to view graph d.

Open the StatCrunch shared data set called Arctic Sea Ice Volume (choose "Data" then "Load" then "Shared Data Sets" and then type the data set name in the search box). Complete parts (a) and (b) below.

a.Make a multiple line chart for the March and September data for the years 1979 through 2013. Choose the correct graph below. Click the icon to view graph c. b.Discuss the trend in data over the years covered and compare the graphs for March and September. The March data generally fell over the years and the September data generally fell over the years. The March values were always larger than the September values over the years. The shapes of the trends are fairly similar.

Use the accompanying figure to complete parts (a) and (b)below. Click the icon to view the figure.

a.What percentage of students do not party at least 3 hours per week l? 69% b.The graphic shows two different percentages for categories that mention relevance of coursework. Is this a contradiction? Who or why not? No, because one refers to relevance to future careers and the other to everyday life.

According to the video, which statement is false? Choose the correct answer below.

Figure (a) makes it impossible to determine the speed change from 1970 to 1990 because the scales are inappropriate.

The accompanying table gives the median age of a population between 1920 and 2010. (Half the population is below the median age and half is above the median age.) Choose the type of graphical display that is most appropriate and explain your reasoning. Discuss any interesting features in the data. Click the icon to view the data set. Choose the correct answer below.

D. 40 35 30 Median age 25 20 15 10 5 0 '20 '30 '40 '50 '60 ' 70 '80 '90 '00 '10 Why was this particular display chosen? The data set is quantitative and the categories are quantitative, so the line chart that appropriately matches the data set was chosen. Discuss any interesting features of the data. Choose the correct answer below. The graph increases steadily from 1980 to 2010, with a largest median age occurring in 2010 and the smallest median age occurring in 1920.

According to the video, which statement is false? Choose the correct answer below.

The original price of the picture frame was $70.

The table shows the numbers of cell phone subscriptions. Display the data using an ordinary vertical scale and an exponential vertical scale. Which graph is more useful? Why? Click the icon to view the table. Choose the correct graph of the data with an ordinary vertical scale below.

C. 250,000 Number 0 1980. 2005 Choose the correct graph of the data with an exponential vertical scale below. A. 1,000,000 Number 10 0 1975. 2005 Year Which graph is more useful m? Why? The graph in part a gives a better picture of the true nature of the rate of change. The graph in part b makes it easier to see the changes in the early years.

The given table lists labor force participation rates (as percentages) of mothers in a region categorized according to the age of their youngest child. Make a graphical display of the data. Choose any graphic type that is appropriate to the data set. In addition to making the display, explain why this type of display was chosen and describe interesting patterns in the data. Click on the icon to view the data table.

Choose the graph(s) below. B. 100 80 60 40 20 0 1975. 2015 Explain why this type of display was chosen. Labor force participation rates by mothers with a youngest child in the two different age categories are comparable values so it makes sense to put them together in a single chart. The data are categorized by quantitative categories. The sum of data across categories is not a value of interest. Thus, a multiple line chart is a good choice. Describe interesting patterns in the data. Choose the correct answer below. Labor force participation rates are higher for mothers with a youngest child in the 6 to 17 age range than those with a youngest child under 6. For both groups, rates of labor force participation are level until 1990, and then they decrease.

The table to the right gives data for boys and girls in six countries who took a science test in 2012. Make a double bar graph for these data, with the vertical axis running from 460 to 560. Science test results (2012) Country Mean boys Mean girls A. 495. 497 B. 544. 553 C. 528. 528 D. 530. 525 E. 560. 541 F. 533. 535 Choose the correct graph below.

Test scores 560 540. Girls 520. Boys Mean score500 480 460 A. B. C. D. E. F Country

According to the video, what was the death rate per 100,000 people in 1980 for cancer? Choose the correct answer below.

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Recast the population data in the figure with a proper horizontal axis. What trends are clear in the new graph that are not clear in the original figure? Explain. Click the icon to view the figure of world population data.

Choose the correct graph below. B. 10 8 Population (billions) 6 4 2 0 1750. 1850. 1950. 2050 Observe the graph with a proper horizontal axis found in the previous step. What trends are clear in the new graph that are not clear in the original figure? Explain. Choose the correct answer below. Most of the growth occurred after 1950. It is not clear in the original figure because the horizontal axis is not linear.

Use the figure to complete parts (a) through (d) below. Click the icon to view the graph.

The death rate for cardiovascular disease increased.The death rate for pneumonia decreased. b.About when did the death rate for cardiovascular disease reach its highest value between 1900 and 2015, and what was the value? The death rate for cardiovascular disease reached its highest value in 1950 at a death rate of 510 deaths per 100,000. c.What was the approximate death rate due to cancer in 2000? The approximate death rate due to cancer in 2000 was 193 deaths per 100,000. d.Based on the trends in the graph, speculate on which of these four diseases will be responsible for the most deaths in 2050. Explain. Choose the correct answer below. If the lines of the graph are extended m, cancer will overtake cardiovascular disease as the leading cause of death.

Consider the accompanying figure. What was the death rate for pneumonia in 1940? Click the icon to view the graph.

The death rate for pneumonia in 1940 was approximately 60 deaths per 100,000.

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or clearly false). Explain your reasoning. My bar chart contains more information than yours, because I made my bars three-dimensional. Choose the correct answer below.

The statement does not make sense because making the bars three-dimensional does not necessarily mean that information was added. It could mean that only the appearance of the graph was changed.

Explain how a graph that shows percentage change can show descending bars (or a descending line) even when the variable of interest is increasing. Choose the correct answer below.

The vertical axis on the graph represents a percentage change such that the drop-off means only the actual value of the variable rises by smaller amounts.

The Right to Bear Arms has been a hotly contested topic for generations. Task forces formed to curtain the crimes in major U.S. cities continue to abound. Gun control is a reoccurring theme in programs aimed at decreasing the deadly weapons in the hands of criminals. The table below shows the political contributions by special interest groups to elected federal political parties from 1990 to end of 2010. The contributions vary significantly and some argue that our elected representatives may be heavily swayed in their voting to represent special interest groups over the constituents they were elected to represent. Source:"Gun Control Facts." By James D. Agresti and Reid K. Smith. Just Facts, September 13, 2010. Revised 2/11/13. https://justfacts.com/guncontrol.asp Click the icon to view the table. Which of the following statements is not true according to the above table?

Approximately twice as much funding is contributed to Replubicans for gun control as for gun rights.

According to the video, which statement is false about interpreting the double bar graph? Choose the correct answer below.

Females had more events than men in the 2012 Olympics.

Consider the figure below. Moving one tick mark up the vertical axis represents an increase in computer speed of what magnitude? Click the icon to view the figure.

One tick mark represents a vertical increase of a factor of 16 times the speed represented by the tick mark before it (excluding the tick marks before 16 to the first power.

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. There's been only a very slight rise in our stock price over the past few months, but I wanted to make it look dramatic so I started the vertical scale from the lowest price rather than from zero. Choose the correct answer below.

The statement makes sense because reducing the range of the vertical axis to just fit the data will increase the relative size of the variation in the data.

What are the three dimensional graphics? Explain the difference between graphics that only appear three-dimensional and those that show truly three-dimensional data.

What are three-dimensional graphics? Three-dimensional graphics are graphs that visualize data using images that look three-dimensional. Explain the difference between graphics that only appear three-dimensional and those that show truly three-dimensional data. Truly three-dimensional graphics show data with 3 different variables plotted along three different axes.Graphics that only appear three-dimensional show data with less than three different axes, but parts of the graphic look three-dimensional.

Use the given figure to complete parts (a) and (b) below. Unemployment rate by education level Unemployment rate 16% 14% 12% 10% 8%. Not a high school graduate High school graduate Some college or associate degree Bachelor's degree or higher 6% 4% 2% 0% 1992 1994 1996 1998 2000 2002 2004 2006 2009 2012

a.Briefly describe how the unemployment rate has changed with time over the period shown in the figure. Has the trend in differences between educational attainment level remained consistent during this time? Explain. Choose the correct answer below. The unemployment rate varies over the time period. The trend in differences between educational attainment level has remained relatively consistent over this time period, in that more educational leads to a smaller unemployment rate since for each year a higher level of education always has an unemployment rate less than education levels below it. b.For 2006, approximately how much more likely was a high school dropout to be unemployed than a worker with a bachelor's degree? It was 2 to 3 times more likely.

Consider the elevation contour map to the right, which has six points marked on it. Assume that points A and B correspond to mountain summits and that the contour lines represent altitude changes of 40 feet. Complete parts (a) and (b) below.

a.If you walk from A to C, do you walk uphill or downhill? Explain how you know. Choose the correct answer below. Downhill. Since A is a summit, C has to be below it. b.Does your elevation change more in walking from B to D or from D to F? Explain how you know. Choose the correct answer below. The elevation changes more in walking from B to D since there are many more lines between B and D.

The figure shows the age distribution of the U.S. population from 2010 through 2050. Use this graph to complete parts (a) through (c) below.

a.In about what year did (will) 45- to 54-year-olds compromise the largest percentage of the population? The population of 45- to 54-year-olds compromise the largest percentage in 2010. b.In about what year did (will) the population of over 65-years-olds peak as a percentage of the population? The population of over 65-year-olds peak as a percentage of the population in the year 2050. c.Discuss any significant trends that you see in the data. Choose the correct answer below m. The percentage of the population for over 65-year-olds trends upward, while all other age ranges trend downward.

The accompanying graph depicts marriage and divorce rate for selected years in a particular region m. The marriage rates are depicted by the left blue bars, and the divorce rates are depicted by the right maroon bars. The rates are given as number of marriages or divorces per 1000 people in the population. Complete parts (a) and (b) below. Click the icon to view the graph.

a.Who do these data consist of marriage and divorce rates rather than total numbers of marriages and divorces? Total numbers in either category may increase or decrease due to an increasing or decreasing population, so the rates give better information about trends. Comment on any trends that you observe in these rates. Select all that apply. The marriage rate is about twice as large as the divorce rate or more for all years considered. The divorce rate grew until about 1980, and it has generally declined since then. The marriage rate period in the 1970s and 1980s, but has generally declined since then. b.Redraw the graph as a multiple line chart (one line for marriage rate and one for divorce rate). Briefly discuss the advantages and disadvantages of the two different representatives of this particular data set. Construct the multiple line chart. Choose the correct answer below. C. 14 12 Rate (number per 1000) 10 8. Marriage 6. Divorce 4 2 0 1960 2015 Identify any advantages and disadvantages of the multiple bar graph and the multiple line chart. Select all that apply. In general, the multiple line chart is a better choice because the data categories are quantitative. The multiple line chart makes it easier to examine the trend over time. The multiple line chart is less cluttered, so the information is easier to understand and interpret.


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