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EMBED Equation  mean of the data  EMBED Equation  sum of the values  EMBED Equation  sum of the squares of the values  EMBED Equation  sample standard deviation  EMBED Equation  EMBED Equation  population standard deviation  EMBED Equation  number of items in sample  EMBED Equation  lowest value  EMBED Equation  first quartile  EMBED Equation  median  EMBED Equation  third quartile  EMBED Equation  maximum value EXERCISES: 1. Using the scores in the accompanying table, find the standard deviation to the nearest hundredth. Find the mean to the nearest tenth. ScoresFrequency602656704758805 2. The scores on a mathematics test are 42, 51, 58, 64, 70, 76, 76, 82, 84, 88, 88, 90, 94, 94, 94, and 97. For this set of data, find the standard deviation to the nearest tenth. xifi8738949139369523. Find, to the nearest tenth, the standard deviation of this set of data. Find the mean. 4. The 1999 win-loss statistics for the American League East baseball teams on a particular date is shown in the accompanying chart. WLNew York5234Boston4939Toronto4743Tampa Bay3949Baltimore3651Find the mean for the number of wins, W, and the mean for the number of losses, L, and Determine if the point (W,L) is a point on the line of best fit. Justify your answer. 5. Twenty high school students took an examination and received the following scores: 70,60,75,68,85,86,78,72,82,88,88,73,74,79,86,82,90,92,93,73 Determine what percent of the students scored within one standard deviation of the mean. Do the results of the examination approximate a normal distribution? Justify your answer. 6. An electronics company produces a headphone set that can be adjusted to accommodate different-sized heads. Research into the distance between the top of peoples heads and the top of their ears produced the following data, in inches: 4.5, 4.8, 6.2, 5.5, 5.6, 5.4, 5.8, 6.0, 5.8, 6.2, 4.6, 5.0, 5.4, 5.8 The company decides to design their headphones to accommodate three standard deviations from the mean. Find, to the nearest tenth, the mean, the standard deviation, and the range of distances that must be accommodated. 7. Two social studies classes took the same current events examination that was scored on the basis of 100 points. Mr. Wongs class had a median score of 78 and a range of 4 points, while Ms. Rizzos class had a median score of 78 and a range of 22 points. Explain how these classes could have the same median score while having very different ranges. 8. Jeans scores on five mathematics tests were 98, 97, 99, 98, and 96. Her scores on five English tests were 78, 84, 95, 72, and 79. Which statement is true about the standard deviations for the scores? The standard deviation for the English scores is greater than the standard deviation for the math scores. The standard deviation for the math scores is greater than the standard deviation for the English scores. The standard deviations for both sets of scores are equal. More information is needed to determine the relationship between the standard deviations. 9. From 1984 to 1995, the winning scores for a golf tournament were 276, 279, 279, 277, 278, 278, 280, 282, 285, 272, 279, and 278. 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