\fEl Part (a) In complete sentences, explain why each statement is false. (i) Data 1 has more data values above 4 than Data 2 has above 4. O In a box plot, only the percentages can be viewed above a given data value, not how many data values there actually are. 0 The whisker is longer for Data 2 than for Data 1, so Data 2 has more data values above 4. O In a box plot, only the medians can be viewed, not how many data values there actually are. 0 In Data 1, the data value 4 is the lower quartile, and in Data 2, the data value 4 is the median. (ii) The data sets cannot have the same mode. 0 The boxes overlap the same values on the scale, so the data sets can have the same mode. 0 Two data sets with different values can still have the same average. 0 The mode of a data set is not evident in a box plot. 0 Only the median in two data sets cannot be the same. (iii) For Data 1, there are more data values below 6 than there are above 6. O The top half of the box is more compact than the bottom half, so there are more values close together. 0 The median of the data set is 6, which indicates that half of the values are below 6 and half of the values are above 6. O The box plot is more compact above 6 than below 6, so there are more values close together. 0 The mode of the data set is 6, which indicates that half of the values are below 6 and half of the values are above 6. El Part (b) For which group, Data 1 or Data 2, is the value of "9" more likely to be an outlier? Explain why in a complete sentence. 0 The value of 9 is more likely to be an outlier in Data 2 because the width of the box is smaller. 0 The value of 9 is more likely to be an outlier in Data 2 because the median is 4. O The value of 9 is more likely to be an outlier in Data 1 because of the short upper whisker. O The value of 9 is more likely to be an outlier in Data 2 because of the long upper whisker. The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976-1977 through 2004-2005. . M = 1000 FTES . median = 1,014 FTES 0 = 474 FTES first quartile = 528.5 FTES third quartile = 1,447.5 FTES . n = 29 years How many standard deviations away from the mean is the median? (Round your answer to two decimal places.)A music school has budgeted to purchase 3 musical instruments. They plan to purchase a piano costing $4,000, a guitar costing $650, and a drum set costing $800. The mean cost for a piano is $5,000 with a standard deviation of $2,500. The mean cost for a guitar is $550 with a standard deviation of $250. The mean cost for drums is $1000 with a standard deviation of $100. (Enter your answers to two decimal places.) How many standard deviations above or below the average piano cost is the piano? standard deviations below v the average How many standard deviations above or below the average guitar cost is the guitar? standard deviations above v the average How many standard deviations above or below the average drum set cost is the drum set? standard deviations below v the average Which cost is the lowest, when compared to other instruments of the same type? 0 piano 0 guitar drum set Which cost is the highest when compared to other instruments of the same type. 0 guitar 0 drum set (9 piano
