Please show all work neatly. Thanks in advance! 3) The following table gives the

Question

Please show all work neatly. Thanks in advance!

3) The following table gives the earned run average (ERA) for the 73 pitchers in the Baseball Hall of Fame as of 2017 ERA 3.67 Robin Roberts 3.41 3.80 3.07 Name ERA ERA ERA 2.91 Ted Lyons 3.54 Greg Maddux 3.34 Juan Marichal Name Name Name Grover Alexander 2.56 Bob Gibson Chief Bender Bert Blyleven Mordecai Brown 2.06 Goose Gossage 3.01 Jim Bunning Steve Carlton Jack Chesbro John Clarkson Stan Covelski Candy Cummings 2.42 Carl Hubbell Dizzy Dean Don Drysdale Dennis Eckersley 3.50 Randy Johnson Red Faber Bob Feller Rollie Fingers Whitey Ford Pud Galvin 2.46 Tom Glavine 3.16 Red Ruffing 2.89 Amos Rusie 3.08 Nolan Ryan 2.93 Tom Seaver John Smoltz 3.31 Lefty Gomez Rube Marquard 2.86 3.27 Clark Griffith 3.22 Burleigh Grimes 3.53 Christy Mathewson 2.1 2.68 Lefty Grove 2.81 Jesse Haines 2.89 Waite Hoyt 3.31 Pedro Martinez 3.33 3.06 Joe McGinnity 3.64 Hal Newhouser 3.59 Kid Nichols 2.98 Phil Niekro 3.26 Hank O'Day 3.34 Satchel Paige 3.29 | Jim Palmer 2.66 Warren Spahn 3.06 A 2.95 Bruce Sutter 3.35 Don Sutton 3.74 Dazzy Vance 3.29 Rube Waddell 2.86 Ed Walsh 3.60 John Ward 3.11 Mickey Welch 2.35 Hoyt Wilhelm Spalding 3.26 3.02 Catfish Hunter 2.95 Fergie Jenkins 3.15 Walter Johnson 2.17 Herb Pennock 3.25 Addie Joss 2.90 Tim Keefe 2.75 Sandy Koufax 2.71 1.89 Gaylord Perry 2.62 Eddie Plank 2.76 Old Hoss Radbourn2.67Vic Willis 2.52 2.87 Bob Lemon Eppa Rixey 3.15 Early Wynn 3.54 Cy Young a) Which Hall of Fame Pitcher(s) is closest to the mean ERA? b) Which Hall of Fame Pitcher(s) is closest to the median ERA? c) Are there any pitchers whose ERA are unusually high or low? Who? Justify your reasoning

Explanation / Answer

a) Mean =SUM/n= 216.51/73= 2.96

Pitchers ERA closest to mean 2.96 are

1) DON DRYSDALE

2) BOB GIBSON

3) CARL HUPBELL

4) PEDRO MARTINEZ

5) KID NICHOLAS

b) Median era= 3.02 ( I got this value by using excel function MEDIAN)

1) DIZZY DEAN and 2) GOOSE GOSSAGE

3) Outliers are none

So no there are no any pitchers whose ERA are unusually high or low.

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