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3. Find the mean, median, and mode of the data, if possible. Fourteen different second- year medical students measured the blood pressure of the same person. The systolic reading in (mmhg) are listed below: 140 118 138 130 140 151 127 130 146 130 130 118 143 136 The mean blood pressure is ______ mmhg. Ans: Mean = (140+118+138+130+140+151+127+130+146+130+130+118+143+136)/14 = 134.0714 4.You are applying for a job at two companies. Company A offers starting salaries u = $34,000 and 0 = $3,000. Company B offers starting salaries u=$34,000 and 0= $7,000. From which company are you more likely to get an offer of $40,000 or more? Ans. Company B, since its standard deviation is higher both means being same. Thus in terms of normal score, 40000 is nearer to the mean value for company B. 6. An auction company sold 15 hand-held computers last month. The final prices (in dollars) at which the items are sold are as follow: 229, 247, 248, 236, 247, 252, 245, 229, 217, 229, 248, 229, 205, 213, 231; Stems: 20, 21, 22, 23, 24, 25 a. construct a stem and leaf plot Ans 20: 5 21: 3 7 22: 9 9 9 9 23: 1 6 24: 5 7 7 8 8 25: 2 b. summarize what this plot tells you about the data Ans This plot tells that most number of computers was sold at prices in range of $220-229 and $240-249. For other prices, sales were lower. 7. An insurance company crashed four cars of the same model at 5 miles per hour. The cost of repairs for each of the four crashes were $426, $438, $487, and $216. Compute the mean, median, and mode cost of repair. Compute the mean cost of repair. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. a. the mean cost of repair is $________. (round to the nearest cent) Ans Mean = (426+438+487+216)/4 = 391.75 Median = (426+438)/2 = 432 Mode doesn’t exist. 9. find the range, mean, variance, and standard deviation of the population data set. 23, 14, 4, 10, 9 Ans Range = 23 – 4 = 19 Mean = (23+14+4+10+9)/5 = 12 Variance = ((23-12)^2 + (14-12)^2+(4-12)^2+(10-12)^2+(9-12)^2)/(5-1) = 50.5 Standard deviation = sqrt(50.5) = 7.106335 10. Heights of men on a baseball team have a bell-shaped distribution with a mean of 178 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between the following values. Ans a. 169 cm and 187 cm percentage within 1 standard deviation of mean = 68% b. 151 cm and 205 cm percentage within 3 standard deviation of mean = 99.7%