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TMTH3360 Ch 2 .xlsx - 2.5 DVRs The DVR is a common fixture...

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f72a0e0ce6e486ea725a41f49e491732ee33fe6e.xlsx TMTH3360 - Applied Technical Statistics Page 1 of 14 2.5 DVRs 1 0 2 1 0 2 0 1 2 1 1 1 3 1 0 a. b. c. Calculate the mean, median, and mode for these measurements. d. Solutions a. mean (=AVERAGE) 1.08 median (=MEDIAN) 1.00 Since the mean and median are so close, the distribution is symmetric. b. mode (=MODE) 1.00 c. see part a and part b d. Bin Frequency 0 6 1 13 2 4 3 2 The DVR is a common fixture in most American households. In fact, most American households have DVRs, and many have more than one. A sample of 25 households produced the following measurements on x , the number of DVRs in the household: Is the distribution of x , the number of DVRs in a househould, symmetric or skewed? Explain. Guess the value of the mode, the value of x , that occurs most frequently. Draw a relative frequency histogram for the data set. Locate the mean, median, and mode along the horizonal axis. Are your answers to part a and b correct? Histogram 0 1 2 3 0 2 4 6 8 10 12 14 Chart Title
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f72a0e0ce6e486ea725a41f49e491732ee33fe6e.xlsx TMTH3360 - Applied Technical Statistics Page 2 of 14 1 1 1 0 3 2 0 1 1 1
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f72a0e0ce6e486ea725a41f49e491732ee33fe6e.xlsx TMTH3360 - Applied Technical Statistics Page 3 of 14 2.8 Tuna Fish 0.99 1.92 1.23 0.85 0.65 0.53 1.12 0.63 0.67 0.69 0.60 0.60 a. b. c. Solutions a. mean (=AVERAGE) 0.90 b. median (=MEDIAN) 0.68 c. 2.10 Time on Task 175 190 250 230 240 200 185 190 225 265 a. Find the average time on task. b. Find the median time on task. c. Solutions a. mean (=AVERAGE) 215 b. median (=MEDIAN) 213 c. An article in Consumer Reports gives the price - an estimated average for a 6-ounce can or a 7.06-ounce pouch - for 14 different brands of water-packed light tuna, based on prices paid nationally in supermarkets: Find the average price for the 14 different brands of tuna. Find the median price for the 14 different brands of tuna. Based on your findings in parts a and b, do you think the distribution of prices is skewed? Explain. Since the mean and median are not close, the distribution is skewed. In a psychological experiment, the time on task was recorded for 10 subjects under a 5-minute time contraint. These measurements are in seconds If you were writing a report to describe these data, which measure of central tendency would you use? Explain. Since the mean and median are so close, either would work but I would use mean. Histogram
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f72a0e0ce6e486ea725a41f49e491732ee33fe6e.xlsx TMTH3360 - Applied Technical Statistics Page 4 of 14 1.41 0.66
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f72a0e0ce6e486ea725a41f49e491732ee33fe6e.xlsx TMTH3360 - Applied Technical Statistics Page 5 of 14 2.16 a. Calculate the range. b. Calculate the sample mean. c. Calculate the sample variance and standard deviation. d. Solutions 3 1 5 6 4 4 3 a. Range = Highest - Lowest = 6 - 1 = 5 b. Mean (=AVERAGE) 5 c. Variance (=VAR) 5 Standard Deviation (=STDEV) 5 d. Range / Standard Deviation 5 So, the range is approximately 3 standard deviations from the mean.
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