Q#34 The following data represent the dividend yields (in percent) of a 2.83 0.41 0 0.82 0.03 2.84 0.1 random sample of 28 publicly traded stocks. Complete parts (a) to 2.27 0.02 0.7 0 0.84 3.24 0.1 (c). 0.55 3.48 2.63 0.13 0.52 3.18 0 0.05 0 0.84 0.8 2.11 0.53 2.83 (a) Compute the five-number summary. The five-number summary is. . 0.0. (Round to two decimal places as needed. Use ascending order.) (b) Draw a boxplot of the data. (c) Determine the shape of the distribution from the boxplot.(1132 Use the side-by-side boxplots shown to complete parts (a) through (e). {a} What is the median of variable x? The median of variable x is [I (Round to the nearest integer as needed.) {b} What is the third quartile of variable y? I (o) Which variable has more dispersion? Why? | ((1) Describe the shape of the variable x. Support your position. (e) Describe the shape of the variable y. Support your position. Q#27 The accompanying data represent the monthly rate of return of a certain company's common stock for the past few year Complete parts (a) and (b) below. the icon to view the data table. 0.26 0.26 0.04 0.06 0.06 - 0.04 - 0.04 0.22 0.48 0.06 - 0.16 0.19 0.05 0.18 0.09 0.02 - 0.05 - 0.02 0.08 0.02 - 0.02 0.13 - 0.08 - 0.02 0.06 - 0.01 0.07 - 0.05 0.01 - 0.10 0.02 0.03 0.01 0.11 - 0.11 0.09 0.10 0.25 - 0.02 0.03 (a) Determine and interpret the quartiles. The first quartile is Q1 =]. (Round to four decimal places as needed.) (b) Check the data set for outliers. To check for outliers by using quartiles, first determine the first and third quartiles of the data. Then compute the interquartile range and determine the fences, using the formulas below. Lower fence = Q1 - 1.5(IQR) Upper fence = Q3 + 1.5(IQR)Q#26 The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder. 1.0 liter engine. {:1} Compute the z-score corresponding to the individual who obtained 43.6 miles per gallon. Interpret this result. (b) Determine the quartiles. (0} Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? MPG data 32.3 36.3 37.9 38.5 39.8 42.6 34.1 36.4 38.1 38.8 40.7 42.8 i 34 5 37 4 38.2 39.4 41.4 43 6 [ 35.5 3?.8 38.4 39.6 41.8 49.3 {:1} Compute the z-score corresponding to the individual who obtained 43.6 miles per gallon. Interpret this result. The zscore corresponding to the individual is I: and indicates that the data value is 3 standard deviation(s} El the \\:| (Type integers or decimals rounded to two decimal places as needed.) The table shows the weekly income of 20 randomly selected fulltime students. If the student did not work, a zero was entered. (a) Check the data set for outliers. (b) Draw a histogram ofthe data. (0) Provide an explanation for any outliers. 537 506 377 203 429 433 1 53 553 285 375 3312 160 368 593 I; 511 207 527 (a) List all the outliers in the given data set. Select the correct choice below and ll in any answer boxes in your choice. O A- The outlier(s) islare O B. There are no outliers. . (Use a comma to separate answers as needed.) QZB A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular customer for the past 20 months. Use the given data to answer parts (a) and (b). (I) to) Determine the standard deviation and interquartile range of the data. 5 = D (Round to two decimal places as needed.) 339 333 385 363 367 436 391 551 421 531 41? 354 517 493 510 404 476 441 437 511 (11134 The following data represent the dividend yields (in percent) of a \"HIM-- 0,1 random sample of 28 publicly traded stocks. Complete parts la} to 2 27 0.02 0_ 34 3_ 24 0.1 {'3} 0.55 3.48 20.63 0.13 0.52 3.18 O 2.83 {a} Compute the ve-number summary. Theve-numbersummaryis I. II II II (Round to two decimal places as needed. Use ascending order.) [b] Draw a boxplot of the data. {0} Determine the shape of the distribution from the boxplot. Q33 The data represent the age of world leaders on their day.r of inauguration. Find the 61 4B 44 ve-number summary, and construct a boxplot for the data. Comment on the shape oi the 56 46 46 distribution. 50 51 6? 63 43 44 Theve-numbersummaryisI