The data is listed below.Ī) If a constant value k is added to each value, how will the standard deviation be affected?ī) If each value is multiplied by a constant k, how will the standard deviation be affected?ġ.1 5.2 3.6 5.0 4.8 1.8 2.2 52 1.5 0.8 The standard deviation will not be affected Sample annual salaries (in thousands of dollars) for public elementary school teachers are listed. If a student receives an A in a four-credit class, a D in a two-credit class, a B in a three-credit class and a C in a three-credit class, what is the student's grade point average? 2.75 In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile. Grades are weighted according to credit hours. 34 Grade points are assigned as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. = 70 median = 69 mode = 67 Find the sample standard deviation.ġ5 42 53 7 9 12 14 28 47 17.8 Find the sample standard deviation.Ģ 6 15 9 11 22 1 4 8 19 7.1 For the dot plot below, what is the maximum and what is the minimum entry? max: 17 min: 12 For the stem-and-leaf plot below, find the range of the data set. ![]() skewed right Find the mean, median, and mode of the data. What is the student's mean score in the class? 80.6 Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is 15% of the final grade. The student's final exam score is 88 and homework score is 76. Heights: 4.3%Weights: 17.4%There is substantially more variation in the weights than in the heights of the girls A student receives test scores of 62, 83, and 91. The heights (in inches) and weights (in pounds) of nine randomly selected thirteen-year old girls are listed below. Round results to one decimal place.Ĭompare the variation in heights to the variation in weights of thirteen-year old girls. 6 Find the coefficient of variation for each of the two sets of data, then compare the variation. ![]() a) Class with greatest relative frequency: 105-115 mm HgĬlass with least relative frequency: 145-155 mm Hgb) Greatest relative frequency ≈ 0.35Least relative frequency ≈ 0.03c) Approximately 0.08 Approximate the mean of the frequency distribution. min = 1, max = 30, 6 classes Class width = 5, Lower class limits: 1, 6, 11, 16, 21, 26 Upper class limits: 5, 10, 15, 20, 25, 30 Use the relative frequency histogram toa) identify the class with the greatest, and the class with the least, relative frequency.b) approximate the greatest and least relative frequencies.c) approximate the relative frequency of the fifth class. Use the maximum and minimum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits. Use the given frequency distribution to construct a cumulative frequency distribution and an ogive Use the given frequency distribution to construct a frequency histogram, a relative frequency histogram and a frequency polygon. Construct a frequency distribution, a relative frequency distribution, and a cumulative frequency distribution using eight classes. Construct a frequency histogram, a relative frequency histogram and a frequency polygon using eight classes. What is the difference between using μ and to represent a mean? μ represents a population mean and x-bar represents a sample mean. ![]() All measurements are in milligrams per cigarette. Use a scatter plot to display the data below. What can you conclude about the data? Most of these years he hit 36 or more home runs. The numbers of home runs that Sammy Sosa hit in the first 15 years of his major league baseball career are listed below. Construct a stem-and-leaf plot for the data. What can you conclude about the data? The number of minutes that a dentist kept 20 patients waiting beyond their appointment times are listed below. Construct a stem-and-leaf plot for the data, listing each stem twice. The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint.
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