HWK 2.2

Use a​ stem-and-leaf plot to display the​ data, which represent the numbers of hours 24 nurses work per week. Describe any patterns. 40, 40, 41, 48, 32, 40, 36, 52, 32, 36, 40, 35, 30, 21, 40, 36, 40, 36, 40, 33, 40, 32, 38, 59 Determine the leaves in the​ stem-and-leaf plot below. ​Key: ​3|3=33 hours worked 2 | ? 3 | ? 4 | ? 5 | ? What best describes the​ data? A. Most nurses work between 40 and 50 hours per​ week, inclusive. B. Most nurses work under 40 hours per week. C. Most nurses work between 30 and 40 hours per​ week, inclusive. D. Most nurses work over 40 hours per week.

2 | 1 3 | 0,2,2,2,3,5,6,6,6,6,8 4 | 0,0,0,0,0,0,0,0,1,8 5 | 2,9 What best describes the​ data? C. Most nurses work between 30 and 40 hours per​ week, inclusive.

How is a Pareto chart different from a standard vertical bar​ graph? A. The bars are positioned in order of decreasing height with the tallest bar on the left. B. The bars are the cumulative frequency of all the previous classes. C. The height of each bar represents frequency or relative frequency.

A. The bars are positioned in order of decreasing height with the tallest bar on the left.

Use a scatter plot to display the data shown in the table available below. The data represent the numbers of hours worked and the hourly wages​ (in dollars) of 12 production workers. Describe any patterns. HOURS HOURLY WAGE 31 17.16 37 15.03 34 15.79 40 16.71 35 16.80 33 18.67 40 16.71 33 17.05 28 15.54 45 16.05 39 16.57 28 14.14 Which scatter plot below displays the​ data? What best describes the​ data? A. The data closely follow along a line that rises from left to right. B. The data loosely follow along a curve that rises and then falls from left to right. C. The data closely follow along a line that falls from left to right. D. The data shows no pattern

A. What best describes the​ data? D. The data shows no pattern

The medal counts for five countries at a recent international sports competition include countries A (41 medals) B ​(63 ​medals) C ​(108 medals) D ​(59 medals) and E ​(74 medals) . Use a Pareto chart to display the data. Describe any patterns. Which country won the greatest number of metals? Which country won the fewest number of metals?

A. Which country won the greatest number of metals? C. Which country won the fewest number of metals? A.

In terms of displaying​ data, how is a​ stem-and-leaf plot similar to a dot​ plot? Select all the similarities below. A. Both plots show how data are distributed. B. Both plots can be used to determine specific data entries. C. Both plots can be used to identify unusual data values. D. Both plots can be used to show large amounts of data.

A. Both plots show how data are distributed. B. Both plots can be used to determine specific data entries. C. Both plots can be used to identify unusual data values.

Give three observations that can be made from the graph. Which site has the most users? Which site has the least users? Which site has about the same users?

A. most users E. least users B & C. about the same users

A​ back-to-back stem-and-leaf plot compares two data sets by using the same stems for each data set. Leaves for the first data set are on one side while leaves for the second data set are on the other side. The​ back-to-back stem-and-leaf plot available below shows the salaries​ (in thousands) of all lawyers at two small law firms. Complete parts​ (a) and​ (b) below. ​(a) What are the lowest and highest salaries at Law Firm​ A? at Law Firm​ B? How many lawyers are in each​ firm? ​(b) Compare the distribution of salaries at each law firm. What do you​ notice? A. At Law Firm A the salaries tend to fall in the middle of the distribution range and at Law Firm B the salaries tend to be clustered at the far ends of the range. B. The salaries of both firms are identically distributed in the distribution range. C. At Law Firm B the salaries tend to fall in the middle of the distribution range and at Law Firm A the salaries tend to be clustered at the far ends of the range. D. The salaries of both firms are clustered at the opposite ends of their distribution range.

At Law Firm A the lowest salary was ​$ 90,000 and the highest salary was ​$ 204,000 At Law Firm B the lowest salary was ​$ 90,000 and the highest salary was ​$ 195,000 There are 30 lawyers at Law Firm A and 32 lawyers at Law Firm B. C. At Law Firm B the salaries tend to fall in the middle of the distribution range and at Law Firm A the salaries tend to be clustered at the far ends of the range.

Use the​ stem-and-leaf plot to list the actual data entries. What is the maximum data​ entry? What is the minimum data​ entry? ​Key: 2 | 6=26 2 | 6 3 | 3 4 | 1 2 2 5 6 6 7 5 | 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9 6 | 7 7 7 7 | 3 7 7 8 | 4 Question content area right Part 1 Choose the correct actual data entries below. A. 26​,33​,41, 42​, 45​, 46​, 47​, ​50, 51,​ 52, 53,​ 54, 55,​ 56, 58,​ 59, 67​, ​73, 77​, 84 B. 26​,33​,41, 42​, 42​, 45​, 46​, 46​, 47​, ​50, 51,​ 51, 52,​ 53, 53,​ 53, 54,​ 54, 54,​ 54, 55,​ 56, 56,​ 58, 59, 67​, 67​, 67​, ​73, 77​, 77​, 84 C. 2.6​,3.3​,4.1, 4.2​, 4.2​, 4.5​, 4.6​, 4.6​, 4.7​, ​5.0, 5.1,​ 5.1, 5.2,​ 5.3, 5.3,​ 5.3, 5.4,​ 5.4, 5.4,​ 5.4, 5.5,​ 5.6, 5.6,​ 5.8, 5.9, 6.7​, 6.7​, 6.7​, ​7.3, 7.7​, 7.7​, 8.4 D. 2.6​,3.3​,4.1, 4.2​, 4.5​, 4.6​, 4.7​, ​5.0, ​ 5.1, 5.2,​ 5.3, 5.4,​ 5.5, 5.6,​ 5.8, ​5.9,6.7​, ​7.3, 7.7​, The maximum data entry is ----?

B. 26​,33​,41, 42​, 42​, 45​, 46​, 46​, 47​, ​50, 51,​ 51, 52,​ 53, 53,​ 53, 54,​ 54, 54,​ 54, 55,​ 56, 56,​ 58, 59, 67​, 67​, 67​, ​73, 77​, 77​, 84 The maximum data entry is 84 The minimum data entry is 26

Use a pie chart to display the​ data, which represent the numbers of student loan borrowers​ (in millions) by balance owed in a recent quarter. Describe any patterns. ​$1 to​ $10,000 16.3 ​$10,001 to​ $25,000 13.7 ​$25,001 to​ $50,000 9.3 ​$50,001+ 5.9 What best describes the​ data? A. Most student loan balances are between​ $25,001 and​ $50,000. B. Most student loan balances are​ $50,001 or more. C. Most student loan balances are​ $25,001 or more. D. Most student loan balances are​ $25,000 or less.

B. What best describes the​ data? D. Most student loan balances are​ $25,000 or less.

Use a scatter plot to display the data shown in the table below. The data represents the number of students per teacher and the average teacher salaries​ (in thousands of​ dollars) in 10 school districts. # STUD AVG SAL 17.5 29.3 17.9 48.2 18.6 32.4 16.7 28.9 18.7 40.9 17.8 33.1 14.4 49.0 15.9 38.4 12.4 42.6 18.0 31.3 Construct a scatter diagram Describe the relation between students per teacher and average teacher salary. A. As the amount of students per teacher​ increases, the average teacher salary also increases. B. There appears to be no relation between students per teacher and average teacher salary. C. As the amount of students per teacher​ decreases, the average teacher salary increases.

C. B. There appears to be no relation between students per teacher and average teacher salary.

A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. ​(a) Explain why the graph is misleading. ​(b) Redraw the graph so that it is not misleading. (a) Why is the graph​ misleading? A. The data should not be displayed in a pie chart. B. The area of the pie chart is more than​ 100%. C. The angle makes it appear the 3rd quarter had a larger percent of the sales when in fact it is the same as the 1st quarter sales.

C. The angle makes it appear the 3rd quarter had a larger percent of the sales when in fact it is the same as the 1st quarter sales.

Use a dot plot to display the​ data, which represent the systolic blood pressures​ (in millimeters of​ mercury) of 24 patients at a​ doctor's office. Describe any patterns. 120, 135, 140, 145, 130, 150, 120, 170,145, 125, 155, 110, 160, 180, 200, 150, 200, 135, 175, 120, 130, 170, 165, 140 Which dot plot below displays the​ data? What best describes the​ data? A. The values are evenly spread from 110 to 200. B. Most of the values are between 120 and 150. C. Most of the values are greater than 150. D. Most of the values are between 140 and 180.

C. B. Most of the values are between 120 and 150.

Match the plot with a possible description of the sample. A. Top speeds (in miler per hour) of a sample of sports cars B. Highest yearly temp (F) for a sample of deserts C. Waiting time (in minutes) for a sample of doctors' offices. D. Time (in hours) spent watching TV in a day for a sample of teenagers

C. Waiting time (in minutes) for a sample of doctors' offices.

What is a disadvantage of using a​ stem-and-leaf plot instead of a​ histogram? A. Histograms contain original data values where​ stem-and-leaf plots do not. B. Histograms graph quantitative data where​ stem-and-leaf plots do not. C. Histograms easily organize data of all sizes where​ stem-and-leaf plots do not. D. Histograms show data clusters where​ stem-and-leaf plots do not

C. Histograms easily organize data of all sizes where​ stem-and-leaf plots do not.

Use a time series chart to display the data shown in the table. The table represents the percentages of the gross domestic product​ (GDP) of a country that comes from the manufacturing sector. Ye a r P e r c e n t 2 0 0 0 1 3.6 % 2 0 0 1 1 3.2 % 2 0 0 2 1 3.2 % 2 0 0 3 1 2.6 % 2 0 0 4 1 2.8 % 2 0 0 5 1 2.5 % 2 0 0 6 1 2.2 % 2 0 0 7 1 2.4 % 2 0 0 8 1 2.1 % 2 0 0 9 1 2.0 % 2 0 1 0 1 2.2 % 2 0 1 1 1 2.4 % Construct a​ time-series graph with the year on the horizontal axis and the percentage on the vertical axis. Describe the trend. Choose the correct answer below. A. The percentage of GDP that came from the manufacturing sector increased from 2000 to​ 2009, then began decreasing. B. The percentage of GDP that came from the manufacturing sector is on a constant decreasing trend. C. The percentage of GDP that came from the manufacturing sector decreased from 2000 to​ 2009, then began increasing. D. The percentage of GDP that came from the manufacturing sector is on a constant increasing trend.

Construct a​ time-series graph with the year on the horizontal axis and the percentage on the vertical axis. D. Describe the trend. Choose the correct answer below. D. The percentage of GDP that came from the manufacturing sector is on a constant increasing trend.

What is an advantage of using a​ stem-and-leaf plot instead of a​ histogram? A.Stem-and-leaf plots easily organize data of all sizes where histograms do not. B. Stem-and-leaf plots show data clusters where histograms do not. C. Stem-and-leaf plots graph qualitative data where histograms do not. D. ​Stem-and-leaf plots contain original data values where histograms do not.

D. ​Stem-and-leaf plots contain original data values where histograms do not.

Use a dot plot to display the data. The data represents the life spans​ (in days) of 30 houseflies. 5, 9, 12,13,11,14,12,6,8,9,6,14,4,6,14,5,12,12,6,9,11,14,5,7,6,0000000012,8,7,7,12 Which plot represents a dotplot of the​ data? What does the dotplot suggest about the distribution of the life spans of​ houseflies? A. The life spans range from 4 to 14​ days, with most lifespans in the range of 5 to 9 days. B. The life spans range from 4 to 14​ days, with most lifespans greater than 13 days. C. The life spans range from 4 to 14​ days, with most lifespans in the range of 7 to 11 days. D. The life spans range from 4 to 14​ days, with most lifespans less than 5 days.

Which plot represents a dotplot of the​ data? A. What does the dotplot suggest about the distribution of the life spans of​ houseflies? A. The life spans range from 4 to 14​ days, with most lifespans in the range of 5 to 9 days.

A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. ​(a) Explain why the graph is misleading. ​(b) Redraw the graph so that it is not misleading. ​(a) Choose the correct answer below. A. The large gap in the vertical axis makes it appear that the sales for the 3rd quarter are disproportionately larger than the other quarters. B. The area for the 3rd quarter sales is drawn artificially larger than the area for the other quarters. C. The quarters displayed out of order. D. There is a gap between the quarter values.

​(a) Choose the correct answer below. A. The large gap in the vertical axis makes it appear that the sales for the 3rd quarter are disproportionately larger than the other quarters.

Display the data to the right in a Pareto chart. Describe the difference in how the pie chart and the Pareto chart show patterns in the data. ​(b) Describe the difference in how the pie chart and the Pareto chart show patterns in the data. Choose the correct answer below. A. The pie chart shows the individual responses. The Pareto chart shows the distribution of the seasons. B. The pie chart shows the rankings of the seasons. The Pareto chart shows the percentages. C. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons. D. The pie chart shows the distribution of the seasons. The Pareto chart shows the individual responses

​(a) Construct a Pareto chart to display the data. Choose the correct bar graph below D. ​(b) Describe the difference in how the pie chart and the Pareto chart show patterns in the data. Choose the correct answer below. C. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.