Exercises II / 4.1
  1. A fictitious student, Clara Cool, has taken the following nine courses while attending the University of Hawai`i @ Hilo...
     Course Alpha/Number   Credit Hours   Grade 
      Span 101 4.0 B
      Span 102 4.0 C
      Geol 101 3.0 B
      Biol 101 3.0 A
      Biol 101L 1.0 A
      Hist 151 3.0 B
      Hist 152 3.0 C
      Soc 100 3.0 F
      HPE 107 1.0 A
    Find Clara Cool's grade point average.  Express the g.p.a. rounded to the nearest hundredth.

     
  2. Joe Cool, Clara's younger brother, also attended the University of Hawai`i @ Hilo and has taken the following ten courses...
     Course Alpha/Number   Credit Hours   Grade 
      Anth 100 3.0 A
      Art 121 3.0 A
      Chem 124 4.0 C
      CS 110 3.0 B
      Eng 100 3.0 A
      Geol 101 3.0 B
      Geol 101L 1.0 C
      Haw 100 2.0 C
      Phil 100 3.0 D
      PolSc 100 3.0 C
    Find Joe Cool's grade point average.  Express the g.p.a. rounded to the nearest hundredth.

     
  3. Find each of the following baseball players' (career) Batting Average:
      Player   # At Bats   # Hits 
     a.    Rose, Pete 14,053 4,256
     b.    Aaron, Hank   12,364 3,771
     c.    Cobb, Ty 11,429 4,191
     d.    Ruth, Babe  8,399 2,873


     
  4. George Herman Ruth,Babe Ruth photo (link: mini-biography at the Baseball Almanac) better known as Babe Ruth or the Bambino, was the true Sultan of Swat.  He held the all-time best Slugging Average for a single season from 1920-2001 and currently still retains the record for career SA...
    1. In 1920, the Babe hit 73 singles, 36 doubles, 9 triples and 54 homeruns in 458 at bats.  Show that his (eighty-year record) SA was .847 that season.
    2. In the course of his 22-year career, he hit 1517 singles, 506 doubles, 136 triples, and 714 homeruns in 8399 at bats.  What is the Babe's career SA?

     
  5. Babe Ruth also pitched for 10 seasons during his career.  During the 1916 season he only allowed 63 (earned) runs in the 324 innings which he pitched.  Show that his ERA was 1.75 for the season.

     
  6. Cy Young photo (link: official site) Hall of Fame pitcher Cy Young, after whom baseball's annual pitching award is named, also played for 22 seasons.  He holds the all-time number of games pitched (827) and number of games won (511).  Throughout his career, he pitched 7356 innings during which he allowed 2147 (earned) runs.   What was Cy Young's lifetime ERA?


     
  7. Find each of the following baseball stats:
    1. HR record holder Willie Mays hit 1960 singles, 523 doubles, 140 triples, and 760 HomeRuns while batting 10,881 times throughout his career.  What is Mays' lifetime BA?  His SA?
    2. If a batter strikes out every time at bat, what will be his BA?  His SA?
    3. If a batter hits a HR every time at bat, what will be his BA?  His SA?

     
  8. Dirk Nowitzki photo (link: career stats @ nba.com) Dirk Nowitzki is a starting foward for the Dallas Mavericks.  Throughout the 2003-04 season, he played in 77 games during which he made 371 of 423 free throws, 605 two-point field goals out of 1310 attempts, and 99 three-point field goals out of 290 attempts.
    1. What was Dirk Nowitzki's free throw percentage, rounded to the nearest whole percent, for the season?
    2. What was his field goal percentage, rounded to the nearest whole percent, for the season?
    3. What was the average number of points per game (ppg), rounded to the nearest tenth, he scored for the season?

    Arie Luyendek photo (link: official website)
  9. The all-time speed record at the Indianapolis 500 was set by, two-time winner, Arie Luyendek.  In 1990, his winning time to complete the 500-mi race was 2:41:18.  What was his average speed, rounded to the nearest mph?

     
  10. Cosmas Ndeti photo (link: ?) The fastest Boston Marathon time is 2:07:15.  The record is held by the three-time winning Kenyan runner, Cosmas Ndeti, set in 1994.  A marathon race is 26 mi and 385 yd in length.  What was Ndeti's average speed that year?  Express the answer in km/hr, rounded to the nearest tenth.

 

  1. 2.56
     
  2. 2.75
     

  3.  
    a.  .303   c.  .367
    b.  .305   d.  .342

  4.  
    a.    73 + 36 × 2 + 9 × 3 + 54 ×    =    388    ~  0.84716
    458 458
    b.   Approx. .690
  5. 63 ÷ (329 ÷ 9)  =  63 ÷ 36  =  1.75
     
  6. Approx. 2.63
     

  7.  
    a.  BA: approx. .311
         SA: approx. .594
    b.  .000 & .000 c.  1.000 & 4.000

  8.  
    a.  88% b.  44% c.   24.4 ppg
  9. 186 mi/hr
     
  10. 19.9 km/hr