The highest batting average ever recorded in Major League Baseball was by Ted Williams in 1941 when he hit 0.406. That year, the mean and standard deviation for batting average were 0.2806 and 0.0328. In 2014, Jose Altuve was the American League batting champion, with a batting average of 0.341. In 2014, the mean and standard deviation for batting average were 0.2679 and 0.0282. Who had the better year relative to his peers, Williams or Altuve? Why?