Colleges announce an "average" SAT score for their entering freshmen. Usually the college would like this "average" to be as high as possible. A NewYork Times article noted, "Private colleges that buy lots of top students with merit scholarships prefer the mean, while open-enrollment public instituions like medians." Use what you know about the behavior of means and medians to explain these differences.

4) Give a real-life example of a time when it would be better to use the median instead of the mean. Also, explain why the median would be a better choice for this example.

Below are actual statistics from the 2020-2021 Miami Heat Basketball players. It demonstrates the number of points scored per game for each player on the team during the regular season (in other words the number of points they scored all season, divided by the total number of games they played).  Is the mode a good way to represent the number of points scored per game for all the players on the heat? why or why not? Why is the mean different from the mode and median? What do you think might be the cause of this difference?

Suppose that the mean score of a class of 34 students was 78. The 19 male students in the class had a mean score of 66. What was the mean score for the 15 female students? Mean Score for Female Students

Can you find a set of data such the mean, median, and variance are all equal to each other?

Use the following information to answer the question. Many couples believe that it is getting too expensive to host an "average" wedding in the United States. According to the website www.costofwedding.com,theaveragecostofaweddingintheU.S.in 2009 was $24,066. Recently, in a random sample of 40 weddings in the U.S. it was found that the average cost of a wedding was $23,224, with a standard deviation of $2,903. On the basis of this, a 9 5% confidence interval for the mean cost of weddings in the U.S. is $22,296 to $24,152. Does the confidence interval provide evidence that the mean cost of a wedding has decreased? Explain your reasoning.

A researcher conducts a study comparing anxiety levels in teens based on their social media usage. Teens with higher scores on the anxiety measure are considered more anxious. Below is a table made from their results. Briefly interpret the results by explaining both descriptive and inferential statistics identified.

Joselyn hopes to receive a grade of B or better in her statistics class. Currently she has scored 75, 83, and 81 on her three in-class tests and also has a homework average of 88. Her professor calculates the class grade by finding the mean of five grades: three in-class tests, the homework average and the final exam. What is the minimum score Joselyn must earn on the final exam to have a class grade (mean) of 80? A. 67 B. 95 C. 70 D. 73

You saw back in Chapter 2 that the mean, median, mode, and midrange are used to indicate where data is centered in a data set, or in other words what a typical value in the set is. A question that is often asked is, "If they're all supposed to do the same thing, why is there more than one?" Isn't one enough? In this exercise, you will be given two small sets of data. For each set, a. find the mean, median, mode and midrange b. in your opinion, decide which of the measures BEST represents all the values in the set (best indicates a typical value), and which one does this the WORST. c. post your responses and justify them by explaining why Don't forget to respond to at least one of your classmate's posts. With this exercise, "more is better." I'll elaborate after the deadline. • Set A: the salaries of 10 employees at a company (in thousands of dollars): 50, 50, 50, 50, 50, 50, 50, 50, 50, 500 • Set B: the grades of 9 students on an exam: 20, 25, 30, 35, 40, 45, 100, 100, 100

A study of new home prices was conducted in a neighborhood of 2000 homes. The median price of a new home is reported to be $172,400 and the mean price is reported to be $196,000. describe the distribution of new home prices, explaining the relationship between the given median and mean. How many new homes cost more than $172,400?