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For Exercises 12–14, use the data in Illustration 4.
ILLUSTRATION 4
Find the sample standard deviation.
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Elementary Technical Mathematics
- Use the following table for problems 1–10. The numbers represent the scores (in points) for a sample of 10 college basketball games: 66 49 32 57 35 57 39 41 33 31arrow_forwardA given data:891, 937, 959, 1017, 1047, 1097, 1169, 1173, 1184, 1235, 1266, 1345, 1353, 1357, 1391, 1414, 1453, 1524, 1557, 1581, 1583, 1590, 1658, 1685, 1690, 1734, 1744, 1765, 1776, 1783, 1783, 1790, 1797, 1849, 1862, 1888, 1894, 1895, 1901, 1906, 1928, 1941, 1949, 1952, 1960, 2022, 2037, 2048, 2052, 2058, 2067, 2103, 2109, 2113, 2163, 2178, 2240, 2245, 2269, 2288, 2452, 2651, 2668, 2886, 2921, 3045, 3276, 3356, 3439, 3749, 4387, 4437, 4578, 4899, 5000, 5290, 5404, 5867, 6128, 6666, 7103, 7757, 7999, 8019, 8773, 9296, 9475, 9595, 9838, 10016 We need to create a frequency distribution table show your solutionsarrow_forwardB: 5.1, 4.7, 8.1, 0.2, 1.1, 2.7, 4.2, 5.8, 10.2, 5.3, 2.7, 7.9, 9.1, 4.0, 4.5, 6.1, 8.8, 4.7, 10.8, 0.6, 8.4, 4.7, 6.3, 7.0, 1.4, 8.6, 2.4, 6.2, 0.4, 4.0 For the data set: a. Calculate the range and determine a bin width that will allow you to sort the data into six intervals of equal widthb. Using the bin width from a) create a histogram of the data (may need a frequency table first)c. Calculate the mean, median, and mode. Which measure best describes the central tendency of each data set? Why?d. Calculate Q1, Q2, Q3 and the IQR (use the raw data listed above)arrow_forward
- Use the data set to answer the following questionsarrow_forwardAbdomen data: 83.0, 87.9, 85.2, 88.6, 77.1, 85.3, 100.0, 94.4, 81.9, 88.5, 82.5, 100.5, 76.5, 86.4, 90.7, 83.6, 106.8, 77.6, 102.9, 90.9, 79.7, 73.9, 79.1, 72.8, 88.2, 100.1, 89.6, 95.9, 98.8, 76.3, 83.5 105.0, 90.8, 83.5, 84.5 101.8, 76.6, 76.4, 88.7, 92.4, 81.2, 91.6, 97.5, 80.0, 88.7, 100.5, 95.6, 92.1, 96.4, 74.6, 83.4, 106.0, 96.4, 92.8, 95.1, 90.4, 100.4, 115.9, 90.8, 81.9, 75.0, 90.3, 90.3, 108.8, 79.4, 83.2, 110.3, 91.6, 92.7, 76.0, 79.5, 86.1, 104.5, 104.6 Assume that the abdomen circumference of males have a distribution that isapproximately bell-shaped. Using the mean (= 89.7) and standard deviation (=9.9) as estimates of the population mean and standard deviation, a. Construct a diagram, using the Empirical Rule, to illustrate the percentagesof data values in each of the 8 sections that diagram includes.b. Between what two measurements will about 95% of the abdomencircumferences fall?arrow_forwardplease help me, Number 7.26 (a and d, 7.28, and 7.29 (a)arrow_forward
- Use the following table to answer questions 6–9. Monthly Water Bills Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec $40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44 6. Write the formula for the mean water bill for the entire year using sigma notation and determine that mean. Round your answer to the nearest cent.arrow_forward(0.5,3.4),(0.2,3.7),(1.2,5.5),(2.9,7.3),(3.4,7.9),(2.4,5.9),(4.4,8.1),(4.5,7.9),(4.9,7.9),(3.3,6.6) Compute the coefficients of polynomials of degrees 3,4,5,6,7,8,9(3 to 9) that approximates the above data points in the least-square sense using Cholesky factorization.arrow_forwardThe following data represent the number of games played in each series of an annual tournament from 1933 to 2005. Complete parts (a) through (d) below.arrow_forward
- A study is planned to compare the proportion of teenagers (ages 13–19) who dislike anchovies with the proportion of young adults (ages 20–30) who dislike anchovies. A random sample of 41 teenagers was taken, and 78% of them disliked anchovies. A random sample of 56 young adults was also taken, and 71% of them disliked anchovies. Difference = Teenagers - Young Adults The picture below is the question. Use the information above to help.arrow_forwardRaw Data: {3.5,2.7,1.6,2.9,1.7,5.3,7.5,8.2,4.6,1.3,4.7,9.4,7.6,3.9,3.2,8.1,4.9,5.7,2.6,3.2,6.5,4.8,3.5,4.8,9.2,4.9,1.1,2,6.4,7.1}{3.5,2.7,1.6,2.9,1.7,5.3,7.5,8.2,4.6,1.3,4.7,9.4,7.6,3.9,3.2,8.1,4.9,5.7,2.6,3.2,6.5,4.8,3.5,4.8,9.2,4.9,1.1,2,6.4,7.1} The gap between the first and second class is 0.1. What number should you subtract from each lower limit and add to each upper limit to find the class boundaries? 0.12=0.12=Answer Class Lower Class Boundary Upper Class Boundary 1.1−2.71.1−2.7 1.1−0.05=1.051.1−0.05=1.05 2.7+0.05=2.752.7+0.05=2.75 2.8−4.42.8−4.4 2.8−0.05=2.8−0.05= Answer 4.4+0.05=4.454.4+0.05=4.45 4.5−6.14.5−6.1 Answer −0.05=4.45−0.05=4.45 6.1+0.05=6.156.1+0.05=6.15 6.2−7.86.2−7.8 6.2−6.2− Answer =6.15=6.15 7.8+0.05=7.8+0.05= Answer 7.9−9.57.9−9.5 Answer Answer Answer =7.85=7.85 Answer +0.05=9.55+0.05=9.55arrow_forwardThe following data represents the age of 30 lottery winners.arrow_forward
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