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Various topics related to quantitative reasoning and data analysis, including the use of frequency tables, relative frequency, cumulative frequency, correlation, percentage changes, and interpreting statistical measures like mean and median. It provides examples and exercises to help students understand and apply these concepts. How to analyze and interpret quantitative data, make sense of statistical information, and draw meaningful conclusions from data. It covers topics that are relevant to fields such as business, economics, social sciences, and data science, and could be useful for university students, high school students, and lifelong learners interested in developing their quantitative reasoning skills.
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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. - You have a list of the GPAs of 100 college graduates, precise to the nearest 0.001. You want to make a frequency tables for these data. A good first step would be to A bar graph would be most appropriate because the goal is to compare the numbers of visitors that go to the attractions. A bar graph could do this because it uses a set of bars to represent the frequency of each category. - You have a table listing ten tourist attractions and their annual numbers of visitors. Which type of display would be most appropriate for these data? Explain your reasoning. Give an example of qualitative data. Explain your reasoning. - An example is ratings of restaurants because they would be based on subjective opinions. What is a histogram? - It is a bar graph for quantitative data. Decide 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 one labeled "State Capitol." - 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. Decide whether the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The relative frequency of B grades in our class was 0.3. - The statement makes sense. Suppose there were 20 people in the class. If 6 received Bs, then the relative frequency of B grades was StartFraction 6 Over 20 EndFraction
equals0.3. Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The cumulative frequency of C grades in our class of 31 students was 50. - The statement does not make sense because the frequency cannot be greater than the total. Decide 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%. - 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. Home prices in a small town - The variable is quantitative because price is a numerical category. Determine whether the following variable is qualitative or quantitative, and explain why. Daily snowfall (in inches) during January in Syracuse, New York - The variable is quantitative because inches are measurements. Determine whether the following variable is qualitative or quantitative, and explain why. The flavors of ice cream sold at a delicatessen - The variable is qualitative because flavors are nonnumerical categories. Use 4-point bins (96 to 99, 92 to 95, etc.) to make a frequency table for the set of exam scores shown below. Include columns for relative frequency and cumulative frequency. 77 89 81 91 86 81 78 91 89 93 99 84 82 99 91 97 79 93 78 85 - https://cdn.discordapp.com/attachments/525105665308491778/624305508911677471/ Screen_Shot_2019-09-19_at_11.05.01_AM.png Complete the frequency table below.
Complete the table. (Type integers or decimals rounded to the nearest tenth as needed.) Data Frequency Relative frequency Cumulative frequency 91 to 99 5 25 % 5
82 to 90 2 10 % 7 73 to 81 6 30 % 13 64 to 72 7 35 % 20 Total 20 100% 20 If X is correlated with Y, what must be true about X and Y? Explain your reasoning. - Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between X and Y when higher values of X consistently go with higher values of Y or when higher values of X consistently go with lower values of Y. Which of the following best describes the correlation between accidents and texting while driving? Explain your reasoning. - Texting while driving is a likely cause of accidents because texting is a distraction from driving. Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I had originally suspected that an increase in variable E would cause a decrease in variable F, but I no longer believe this because I found no correlation between the two variables. - The statement makes sense.
Express the following number as a decimal and as a percentage. one fifth 1/5 - The decimal equivalent of one fifth is select:.
. 2. The percentage equivalent of one fifth is 20 %. Express the given decimal as a percentage and a reduced fraction. 0.40 - What is the percentage form of 0.40? 40 % What is the reduced fraction form of 0.40? two fifths 2/ Express the given percentage as a reduced fraction and a decimal. 180 % - What is the reduced fraction form of 180%? nine fifths 9/ What is the decimal form of 180%? - 1. The 2014 revenue for Company A was $310 million, compared to $443 million for Company B. - The 2014 revenue for Company A was 70 % of the revenue for Company B.
The 2014 population of a certain state was approximately 42.7 million. The 2009 population was approximately 31.2 million. - The 2014 population of the state was 136.9% of the 2009 population. Clint's salary increased from $20 comma 000 to $32 comma 000 over a three-year period. Helen's salary increased from $27 comma 000 to $43 comma 200 over the same period. Whose salary increased more in absolute terms? In relative terms? Explain. - Whose salary increased more in absolute terms? Select the correct choice below and fill in the answer box(es) to complete your choice. A. Helen's salary increased more, because her salary increased by $ 16,200. This is more than $ 12000 , the amount that Clint's salary increased. Your answer is not correct.B. Clint's salary increased more, because his salary increased by $ nothing. This is more than $ nothing, the amount that Helen's salary increased. C. Neither person's salary increased more, because both of their salaries increased by $ nothing. Whose salary increased more in relative terms? Select the correct choice below and fill in the answer box(es) to complete your choice. A. Helen's salary increased more, because her salary increased by nothing%. This is more than the percent increase of Clint's salary, which is nothing%. B. Clint's salary increased more, because his salary increased by nothing%. This is more than the percent increase of Helen's salary, which is nothing%. C. Neither person's salary increased more, because both of their salaries increased by
36.6 percent shorter than the main span of Bridge B (4100 feet). The retail cost of a TV is 15% more than its wholesale cost. Therefore, the retail cost is ____ times the wholesale cost. - The retail cost is select: 115 115 times the wholesale cost In a certain year, economists projected that a certain government would have a surplus of $5. trillion. This projection never materialized. What is the most likely reason for this incorrect projection? - The people who made this projection based it on assumptions about the future economy that turned out to be untrue. These assumptions included highly uncertain predictions about the future of the economy, future tax rates, and future spending. You are trying to measure the outside temperature at a particular time. If you use three thermometers and place all three in direct sunlight, the sunlight is likely to cause your measurements to suffer from what kind of error? - Your measurements will suffer from systematic errors because the sunlight affects all measurements in the same way by making them too high by the same amount. What does a negative monthly cash flow mean? - It means you are spending more money than you are taking in. When you subtract your total expenses from your total income, the difference is negative. Suppose you have a health insurance policy with an annual premium of $4800, an annual deductible of $1000, and copayments of $25 for visits to the doctor's offices. Suppose you go through the year with no medical bills at all. What is your total cost for the year? - $4800 (no medical bills, you only pay the premium) Which of the following is necessary if you want to make monthly contributions to savings? - You must have a positive monthly cash flow. If your cash flow is positive, you will have money left over at the end of each month, which you can use for savings. In the savings plan formula, assuming all other variables are constant, what happens to the accumulated balance in the savings account? -
It increases as n increases. As n increases, the denominator decreases and the exponent in the numerator increases. This makes the accumulated balance increase. Suppose you deposited $40 per month into a savings plan for 5 years and at the end of that period your balance was $20 comma 700. What was the amount you earned in interest? - It was $18 comma 300. Calculate the amount deposited over 5 years and then subtract it from the balance of $20 comma 700. In the loan payment formula, assuming all other variables are constant, the monthly payment does what? - The monthly payment increases as P increases. As the amount borrowed increases, the numerator of the PMT equation becomes larger and thus, the PMT increases. You are currently paying off a student loan with an interest rate of 10% and a monthly payment of $440. You are offered the chance to refinance the remaining balance with a new 10-year loan with an interest rate of 7% that will give you significantly lower monthly payment. Is refinancing this way a good idea? - It may or may not be a good idea, depending on closing costs and how many years are remaining in your current loan term. Refinancing would reset the loan term to 10 years. With the same term and amount borrowed, what will a loan with a higher APR have? - There will be a higher monthly payment than a loan with a lower APR because a higher APR means a greater amount of interest paid each month. How do credit card loans differ from ordinary installment loans? - Credit card loans differ from installment loans in that you are NOT required to pay off your balance in any set period of time. Explain, in general terms, how the portions of loan payments going to principal and interest change over the life of the loan. - Installment loans gradually pay down the loan principal while the payments remain the same. Therefore, the interest due each month gradually decreases and the amount paid toward the principal gradually increases. Why are credit card loans particularly dangerous? -
sodas per week. What can be concluded? - At least one student drinks more than 17 sodas per week. An outlier value that is higher than most of the other values would explain why the mean is higher than the median. You want to find the median weight of the apples in a barrel. What do you need to do? - Lay the apples out in order of increasing weight and find the weight of the apple in the middle. The definition of median is the middle value in a sorted data set. "What are the quartiles of a distribution? How do we find them?" homework 6b quizlet - The lower quartile is the median of the data values in the lower half of a data set. The middle quartile is the overall median. The upper quartile is the median of the data values in the upper half of data set.