The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 37.7 miles per gallon. Interpret this result. Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? E Click the icon to view the data. (a) Compute the z-score corresponding to the individual who obtained 37.7 miles per gallon. Interpret this result. The z-score corresponding to the individual isO and indicates that the data value is (Type integers or decimals rounded to two decimal places as needed.) standard deviation(s) the 32.5 36.2 36.4 37.5 37.7 38.0 39.9 40.7 41.4 41.6 42.3 42.6 43.3 48.9 38.6 34.4 34.7 38.1 38.3 39.0 39.5 35.5 38.5 39.6

16.2 31.1 25.3 24.8 23.8 8.0 27.2 24.0 38.8 51.5 28.0 26.5 8.3 43.1 29.7 39.3 18.7 28.2 17.9 33.1 25.6 5.4 39.4 29.2 41.1 15.8 24.3 32.0 25.8 52.4 17.1 33.0 30.1 23.2 19.1 24.3 4.8 36.7 11.1 40.9 28.8 27.9 46.8 36.7 11.5 32.4 38.0 26.1 25.3 39.2 23.8 23.4 27.9 44.6 27.5 35.3 34.5 11.9 25.6 27.3 28.0 24.8 16.5 13.6 34.2 34.8 21.2 31.0 24.9 31.3 35.0 27.5 42.2 37.8 49.5 31.2 29.0 26.1 26.5 25.6 17.5 29.7 23.9 18.5 37.3 7.4 30.8 14.0 25.7 37.8 32.0 20.4 6.9 19.8 45.7 29.3 18.4 56.3 35.4 0.9 22.9   BMI data   Obesity is a risk factor for many health problems s uch as type 2 diabetes, high blood pressure, joint problems, and gallstones. Using data collected in 2 018 through the National Health and Nutrition Examination Survey, the National Institute of Diabe tes and Digestive and Kidney Diseases estimates tha t 37.7% of all adults in the United States have a bod y mass index (BMI) in excess of 30 and so are categorized as obese. The data in the file Obesity (from the textbook but also…

Here is a data set (n = 117) that has been sorted. 58.1 62.6 62.9 64 64.5 64.6 64.6 66 67.6 67.8 68.4 68.4 68.4 69.3 69.3 69.5 69.7 69.9 70.9 70.9 71.7 72 72.5 72.8 73.5 73.6 73.6 73.7 73.8 73.9 74.2 74.2 74.2 74.6 74.7 74.9 74.9 75.3 75.4 75.6 75.9 76 76.2 76.2 76.4 77 77 77.2 77.3 77.8 78.3 78.5 78.6 78.6 78.7 78.8 78.8 78.8 78.9 79.4 79.8 79.9 80 80.4 80.6 80.8 80.9 81 81 81.5 81.5 81.6 81.8 81.9 82 82.4 82.9 83.1 83.4 83.6 83.7 83.7 84.1 84.1 84.5 84.6 84.7 84.8 85.4 85.4 85.8 86 86.2 86.3 86.3 86.4 86.5 86.8 86.8 86.8 87 87.4 87.7 87.8 88.3 88.4 88.4 88.7 89.8 90.5 91.5 92.7 92.9 93.5 95 96.7 109.8 Find the 78th-Percentile: P78 c0 00

Must use R-Studio for this question. ASAP! Thank-you! Data: Blue 54.73 54.92 51.81 46.02 48.73 51.06 46.04 52.92 48.75 51.79 53.69 54.42 52.18 50.03 50.33 52.36 46.54 50.11 53.19 51.56 48.77 52.8 48.96   Red 53.88 59.14 57.13 54.72 55.66 54.85 53.35 55.96 53.69 50.39 53.15 51.73 57.28 51.33 54.65 55.57   White 50.85 55.75 52.85 56.73 49.89 49.45 52.63 51.96 50.88 50.37 50.22   Yellow 48.88 50.69 47.61 46.52 45.27 46.12 46.51 43.76 46.98 46.41 49.42 42.26 55.73 47.85 48.33 51 43.26 44.15

18 10 20 6. 21 8. 30 10 25 26 7. 19 29 9. 31 10 55 32 4. 28 3. 23 2. 24 32

11.15 only

Here is a data set (n=117) that has been sorted. 22.2 25.3 27 28.2 29.5 30 31.5 31.6 31.8 32.1 32.2 32.6 33.5 33.5 35.1 35.9 36.3 36.4 36.4 36.6 36.9 37.1 37.1 37.5 37.5 38 38.1 38.2 38.4 38.5 38.7 39 39.3 39.6 39.6 39.8 40 40.8 40.9 41 41 41.6 41.6 41.7 41.8 41.9 42 42.7 43 43.1 43.2 43.4 43.8 44 44 44 44 44 44.1 44.2 44.4 45 45.2 45.3 45.5 45.6 45.7 45.8 45.8 45.9 46.2 46.3 46.5 46.8 47.9 48.2 48.5 48.6 48.7 48.8 49 49.1 49.2 49.2 49.5 49.9 50 50.1 50.3 50.4 50.8 51 51.2 51.5 51.7 51.9 52.1 52.1 52.7 52.7 53 53.2 53.2 53.5 53.8 54 54.7 54.8 55.2 55.7 56.5 57.2 59 59.8 60 61.5 63.2 Find the 31st-Percentile: P31 =

Some data is intentionally missing. By hand or R-Studio is fine Thanks in advance!   DeCaf Caf 1 11.5 3.3 2 0.2 4.8 3 4 10.6 4 6.7 8.3 5 13.4 5.7 6 16.1 3.2 7 14.1 6.8 8 10.3 5.9 9 6.9 5.2 10 6.7 9.4 11 4.1 8.8 12 7.6 12.7 13 6.5 1.1 14 11.4 8.6 15 5.1 11.1 16 10 9.9 17 6.7 6.3 18 6.8 8.5 19 1.4 9.5 20 2.4 6.2 21 2.7 10.6 22 3.1 5.6 23 2.6 3 24 4.5 12.9 25 0.6 8.3 26 4.4   27 0.2   28 0.7   29 4.5   30 5.1   31 12.2   32 3.6   33 3   34 10.3   35     36     37     38     39     40     41     42     43     44     45     46     47     48     49     50     51     52…

147.4 172.8 193.4 219.4 255.1 260.5 261.1 263.4 324.8 303.2 311.2 324.8 348.8 352.4 352.4 352.4 354.1 368.8 368.9 372.6 373.1 373.4 374.2 380.4 382.8 383.4 389.9 391.2 391.2 394.7 398.2 403.4 408.8 410.7 421.1 424.1 428 440.3 447.7 450.6 460.3 460.3 460.3 475.8 479.4 484.3 489.7 563.6 569 613.8 625.2 637.5 638.3 655.3 665.3 Frequency 1 18 16 14 12 10 8 6 4 2 100 150 200 250 300 350 400 450 500 550 600 650 700 a. Find the minimum for this data set. minimum = 1 = b. Find the first quartile for this data set. Q₁ length (cm) = c. Find the median for this data set. Median = d. Find the third quartile for this data set. Q3 Submit Question e. Find the maximum for this data set. maximum =

Here is a data set (n=117n=117) that has been sorted. 26.4 26.4 28.6 29.4 31.8 32.6 32.7 32.7 32.9 33.8 34.2 34.4 34.9 34.9 35.4 35.5 36.3 36.5 36.7 36.9 37 37.2 37.3 38.3 38.4 38.5 38.6 38.8 38.8 38.9 39 39.2 39.4 39.4 39.5 39.8 39.8 40 40.1 40.2 40.2 40.4 40.6 40.8 41.1 41.3 41.5 41.5 41.9 41.9 42.1 42.3 42.8 42.8 43.2 43.3 43.4 44.2 44.3 44.5 44.6 44.7 44.7 44.7 44.8 45 45 45 45.2 45.2 45.7 45.9 46.1 47 47.1 47.2 47.8 47.9 48.2 48.4 48.4 48.6 48.7 49.4 50 50 50.2 50.3 50.3 50.4 50.6 50.9 51 51 51.8 52.2 52.6 53 53.1 53.8 54.1 54.2 54.2 54.2 54.6 55.3 55.3 55.4 55.9 56.1 56.6 56.8 57 57.2 57.5 60.7 62.4 Find the 75th-Percentile:P75 =