5C

As seen in the video, which bin was the tallest in the histogram? Choose the correct answer below.

85 to 89

Use StatCrunch with the data, shown to the right, on the percentage of a country's population below the poverty level in various years. Complete parts a and b below. Year. Percentage below poverty level 1960. 23.7 1970. 13.3 1980. 12.9 1990. 13.6 2000. 12.1 2010. 16.1 2015. 14.2 Make a line chart that displays these data. Choose the correct answer below. Make a bar graph that displays these data. Choose the correct graph below.

A. 25. Percentage 0 1960. 2020 A. 25 Percentage 0 1960. 2015

The table to the right shows binned data for the percentages of high school graduates who took a national exam in 2016 among the 50 states and the District of Columbia m. Make a histogram of the data. Test takers by State Percentage of high school graduates Number of states <20%. 4 21-40%. 13 41-60%. 6 61-80%. 8 81-100%. 20 Which histogram below represents the data?

A.Number of states 30 0. 0. 100 Percentage of students

The following table shows data for movie theater admissions (per week) in a country. Display the data as a time-series graph and explain any noticeable trends or patterns. Years 1945. 1955. 1965. 1975 1985 1995 2005 2015 Admissions/week (millions). 78.2 37.2 18.8 19.3 20.1 23.5 27.3 25.3 Which time-series graph below represents the data? Discuss any noticeable trends or patterns in the data revealed by the display. Choose the correct answer below.

Admissions/week (millions) 80 60 40 20 0 1945. 2015 The admissions per week started at a maximum in 1945, fell to a minimum in 1965, and then generally increased.

Give an example of qualitative data. Explain your reasoning. Choose the correct answer below.

An example is ratings of restaurants because they would be based on subjective opinions.

Construct a pie chart for the percentage of mothers aged 40 to 44 in a certain country with various numbers of children l. Which pie chart below displays the data correctly?

B. Number of Children for Mothers Aged 40-44 Blue 1 23% Red 2 39% Green 3 25% Yellow. 4 or more 13%

The accompanying table gives the order of the presidents of a country and the ages at their inauguration. Display these data with a bar graph using one bar for each president. Describe significant features of the data. Click the icon to view the presidential data. Which bar graph below represents the data? Describe significant features of the data. Choose the correct answer below.

D. 75 50 Age 25 0 5. 10. 15. 20. 25. 30. 35. 40. 45 Each president was between 40 and 70 years old at the time of his or her inauguration. There is no particular pattern in those ages.

Make a bar graph of the populations of the five most populous states (from census data) in a certain country, with the bars in descending order. State. Population A. 36.9 million B. 32.7 million C. 21.3 million D. 20.9 million E. 11.4 million

F. 50 40 30 20 10 0 A. B. C. D. E

A professor records the following final grades in one course. Construct a frequency table for the grades. A A A A A B B B B B B C C C C C C C C D D D D F Complete the table.

Grade Frequency Relative Frequency Cumulative Frequency A 5 20.8% 5 B 6 25% 11 C 8 33.3% 19 D 4 16.7% 23 F 1 4.2% 24 Total 24 100% 24

You have a list of the GPAs of 100 college graduates, precise to the nearest 0.001. You want to make a frequency table for these data. Explain your reasoning. Choose the correct answer below.

Group all the data into bins 0.2 of a grade point wide. It is very likely that small ranges of GPAs would be easier to analyze than the individual GPAs would be.

According to the bar graph in the video, which country had the least amount of per-person CO2 emissions? Choose the correct answer below.

India

Describe the importance of labeling on a graph, and briefly discuss the kinds of labels that should be included on graphs. Select each of the following that describes a label that should be included in graphs and the importance of including it.

Numbers along the vertical axis should clearly indicate the scale, and there should be a label that describes the variable shown on the vertical axis. Without either of these, there would be no way of interpreting the data shown in the graph. If multiple data sets are displayed on a single graph, there should be a legend or key to identify the individual data sets. Otherwise, comparisons among the data sets would not be possible and confusion among the data sets could occur. The categories should be clearly indicated along the horizontal axis, and there should be a label that describes the variable that the categories represent. Without either of these, it would not be possible to know what data the graph is supposed to show. The graph should have a title or caption (or both) that explains what is being shown and, if applicable, lists the source of the data. Without this label, it might not be clear what the graph is supposed to illustrate.

The following table gives the percentage of first-year college students who answered None when asked about their religious affiliation in selected years. Display the data as a time-series graph and explain any noticeable trends or patterns. Year. 1985 1990 1995 2000 2005 2010 2015 Percentage claiming no religious affiliation 9.3 11.3 13.4 15.7 17.9 22.8 28.6 Which time-series graph below represents the data? Discuss any noticeable trends or patterns in the data revealed by the display. Choose the correct answer below.

Percent C.30 20 10 0 1985. 2015 The percent increased each year from 1985 to 2015.

Gun control periodically makes headlines the evening news as tragedies occur in our society. Some claim that more regulation would curb some of the violence. Others claim that gun control would only restrict the rights of those who are not committing the crimes. The double broken line graph shows a comparison of murder rates in Washington D.C., and the United States and indicates two specific points in time where a handgun ban and trigger lock law was enacted and repealed. Interestingly, the graph shows a different picture at the state level compared to the country level. The differences may partially explain why some states may have a very different opinion of gun control from the rest of the nation. Source: "Gun Control Facts." By James D. Agresti and Reid K. Smith. Just Facts, September 13,2010. Revised 2/11/13. http://justfacts.com/guncontrol.asp Click the icon to view the double broken line graph. If a chart compares murder rates at a state and national level, is the chart showing qualitative or quantitative data?

Quantitative

According to the video, what is the classification of data in part (b)? Choose the correct answer below.

Quantitative data

Use 5-point bins (95 to 99, 90 to 94, etc.) to make a frequency table for the set of exam scores shown below. Include columns for relative frequency and cumulative frequency. 79 70 92 71 91 83 79 91 96 70 74 90 85 82 92 86 89 83 90 99 Complete the frequency table below.

Scores Frequency Relative Frequency. Cumulative Frequency 2,8,11,14,16,20,20 95 to 99. 2. 10% 90 to 94. 6. 30% 85 to 89. 3. 15% 80 to 84. 3. 15% 75 to 79. 2. 10% 70 to 74. 4. 20% Total 20. 100%.

The figure below is a time-series graph showing overall death rates (from all causes) in a country for 1900 to 2015. The spike in 1919 was due to a worldwide epidemic of influenza. Write a few sentences summarizing the overall trend, describing how much the death rate changed over this period of time and putting the 1919 spike into context in terms of its impact on the population. Death rate per 100 population 20 rate15 10 5 1900. 1910. 1920. 1930. 1940. 1950. 1960 1970 1980 1990 2000 2010 2020 Choose the correct answer below.

The death rates have decreased by about 30% since the 1920s. The death rate during the influenza epidemic was over twice its current rate.

What is the purpose of binning? Give an example in which binning is useful. Choose the correct answer below.

The purpose of binning is to analyze the frequency of qualitative data grouped into categories that cover a range of possible values. A useful example is grouping quiz scores with a maximum score of 40 points with 10-point bins. The first bin contains scores 0-9, the second bin contains scores 10-19, and so on.

Describe whether the following statement makes sense (or is clearly true) or does not (or is clearly false). Explain your reasoning. The cumulative frequency of C grades in our class of 31 students was 40. Choose the correct answer below.

The statement does not make sense because the frequency cannot be greater than the total.

Describe whether the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I made a frequency table with two columns, one labeled "State" and labeled "State Capitol." Choose the correct answer below.

The statement does not make sense. In a frequency table, one of the columns lists the frequency of each category, which is the number of data values in the category. The table described in the given statement does not have this column.

Describe whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Your pie chart must be wrong, because when I added the percentages on your wedges, they totaled 124%. Choose the correct answer below.

The statement makes sense because pie charts are used primarily for relative frequencies, so the total pie must always represent the total relative frequency of 100%.

Determine whether the following variable is qualitative or quantitative, and explain why. The eye color of students in a class. Choose the correct answer below.

The variable is qualitative because colors are nonnumerical categories.

Determine whether the following variable is qualitative or quantitative, and explain why. The flavors of ice cream sold at a delicatessen. Choose the correct answer below.

The variable is qualitative because flavors are nonnumerical categories.

Determine whether the following variable is qualitative or quantitative, and explain why. Home prices in a small town. Choose the correct answer below.

The variable is quantitative because price is a numerical category.

Determine whether the following variable is qualitative or quantitative, and explain why. The annual salaries of NBA basketball players. Choose the correct answer below.

The variable is quantitative because salaries are numerical categories.

What is a frequency table?Explain what is meant by the categories and frequencies. What is meant by relative frequency? What is meant by cumulative frequency?

a.A frequency table has two columns. The first column lists all of the categories of data. The second column lists the frequency of each category, which is the number of data values in the category. b.Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The frequency of a category is the number of data values in the category m. c.The relative frequency of a category is the fraction (or percentage) of the data values that fall in that category. d.The cumulative frequency of a category is the number of data values in that category and all preceding categories.

Watch the video and then complete parts (a) through (h) below. Click here to watch the video. 100 full-time students at a 2-year public college were surveyed regarding their employment status. The weekly hours of those who reported employment are represented in the histogram. 15 12 9 6 3 0 0-4. 5-9. 10-14 15-19 20-24 25-29 30-34 35+

a.How many students worked between 10 and 14 hours per week? 8 b.How many students worked more than 34 hours per week? 3 c.How many students worked 10 to 19 hours per week? 12 d.How many students worked at least 10 hours per week? 39 e.Out of the 100 students surveyed, how many indicated that they were employed at the time of the survey? 42 f.According to the histogram, how many students reported working 6 hours per week? This information is not available in the histogram. g.According to the histogram, how many students reported working 2 hours per week? None h.Which of the following sets of data might have been used to construct the histogram? [5,7,7,10,10,10,12,13,14,14,14,15,15,15,20,20,20,20,20,20,20,20,20,20,22,22,25,25,25,25,25,26,26,26,30,30,30,34,35,40,50]