MAT 201 Mod-2 Describe the measures of central tendency. Under what condition(s) should each one be used..
Question;Answer the following problems showing your;work and explaining (or analyzing) your results.;1.;Describe the measures of central tendency. Under what;condition(s) should each one be used?;2.;Last year, 12 employees from a computer company retired. Their;ages at retirement are listed below. First, create a stem plot for the;data. Next, find the mean retirement age. Round to the nearest year.;55 77 64 77 69 63 62 64 85 64 56 59;3.;A retail store manager kept track of the number of car magazines;sold each week over a 10-week period. The results are shown below.;27 30 21 62 28 18 23 22 26 28;a.;Find the mean, median, and mode of newspapers sold over the;10-week period.;b.;Which measure(s) of central tendency best represent the data?;c.;Name any outliers.;4.;Joe wants to pass his statistics class with at least a 75%. His;prior four test scores are 74%, 68%, 84% and 79%. What is the minimum score he;needs on the final exam to pass the class with a 75% average?;5.;Nancy participated in a summer reading program. The number of;books read by the 23 participants are as follows;10 9 6 2 5 3 9 1 6 3 10 4 7 6 3 5 6 2 6 5 3 7 2;Number of books read;Frequency;1?2;3?4;5?6;7?8;9?10;a.;Complete the frequency table.;b.;Find the mean of the raw data.;c.;Find the median of the raw;data.;6.;The chart below represents the number of inches of snow for a seven-day;period.;Sunday;Monday;Tuesday;Wednesday;Thursday;Friday;Saturday;2;5;3;10;0;4;2;a.;Find the mean, median, and mode.;b.;Which is the best measure of central tendency?;c.;Remove Wednesday from the calculations. How does that impact the;three measures of central tendency?;d.;Describe the effect outliers have on the measures of central;tendency.;7.;A dealership sold 15 cars last month. The purchase price of the;cars, rounded to the nearest thousand, is represented in the table.;Purchase;price;Number;of cars sold;$15,000;3;$20,000;4;$23,000;5;$25,000;2;$45,000;1;a.;Find the mean and median of the data.;b.;Which measure best represents the data? Use the results to;support your answer.;c.;What is the outlier and how does it affect the data?;8. What do the letters represent on the box;plot?;9. The test scores from a math final exam are;as follows;64 85 93 55 87 90 73 81 86 79;a.;Create a box plot using the data.;b.;Label the five points on the box plot and include numerical;answers from part "a.;10. Using the data and results from Question;9, answer the following questions.;a.;What is the median?;b.;What is the range?;c.;What is the interquartile range?;d.;In a short paragraph, describe the data in the box plot.
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