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Name: ____________________________________StatisticsChapter 3 Quiz 1 – Measures of Central Tendency and Measures of VariationDetermine whether each statement is true or false. If the statement is false, explain why. When the mean is computed for individual data, all values in the data set are used.The mean cannot be found for grouped data when there is an open class.One-half of all the data values will fall above the mode, and one-half will fall below the mode.A single, extremely large value can affect the median more than the mean.In a data set, the mode will always be unique.One disadvantage of the median is that it is not unique.The mode and midrange are both measures of variation.The range and midrange are both measures of variation.Select the best answer. What is the value of the mode when all values in the data set are different? 0b. 1c. There is no moded. It cannot be determined unless the data values are given.When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is:Meanb. Medianc. Moded. MidrangeComplete the statements with the best answer. A measure obtained from sample data is called a(n) ________________________________.Gnerally, Greek letters are used to represent __________________, and Roman letters are used to represent ____________________________.The positive square root of the variance is called the _____________________.The symbol for the population standard deviation is ______________________.When the sum of the lowest data vlaue and the highest data value is divided by 2, the meaures is called _____________________.If the mode is to the left of the meidan and the mean is to the right of the median, then the dsitribution is ___________ skewed.An extremely high or extremely low data value is called a(n) _______________________________.CalculationThe number of highway miles per gallon of the 10 worst vehicles is shown.12151314151617161718Find each of these. MeanMedianModeMidrangeRangeVarianceStandard deviationThe distribution of the number of errors that 10 students made on a typing test is shown.ErrorsFrequency0-213-536-849-11112-141Find each of these MeanModal classVarianceStandard DeviationIn a survey of third-grade students, this distribution was obtained for the number of “best friends” each had.Number of studentsNumber of best friends81625330Find the avearge number of best friends for the class. Use the weighted eman. A survey of grocery stores showed that the average number of brands of toothpaste carried was 16, with a standard deviation of 5. The same survey showed the avearge length of the time each store was 7 years, with a standard deviation of 1.6 years. Which is more variable, the number of brands or the number of years? 22. The average national SAT score is 1019 (verbal and math). If we assume a bell-shaped distribution and a standard deviation equal to 10, what percentage of scores will you expect to fall between 909 and 1129? ................
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