Over the past 6 seasons, one baseball player's batting averages were 0.203, 0.365, 0.339, 0.315, 0.267, and 0.333. A second player's batting averages were 0.288, 0. 298, 0.366, 0.255, 0.267, and 0.331. What are the range and mean of each player's batting averages? Use your results to compare the players' batting skills.

Question

Over the past 6 seasons, one baseball player's batting averages were 0.203, 0.365, 0.339, 0.315, 0.267, and 0.333. A second player's batting averages were 0.288, 0. 298, 0.366, 0.255, 0.267, and 0.331. What are the range and mean of each player's batting averages? Use your results to compare the players' batting skills.

Answer 1

To find the range of the batting averages for each player, we subtract the lowest average from the highest average for each player.

For the first player, the range is 0.365 - 0.203 = 0.162.

For the second player, the range is 0.366 - 0.255 = 0.111.

To find the mean of the batting averages for each player, we add up all the averages and divide by the number of seasons (6) for each player.

For the first player, the mean is (0.203 + 0.365 + 0.339 + 0.315 + 0.267 + 0.333) / 6 = 0.294.

For the second player, the mean is (0.288 + 0.298 + 0.366 + 0.255 + 0.267 + 0.331) / 6 = 0.302.

Comparing the players' batting skills, the second player has a higher range (0.111) compared to the first player (0.162), indicating more consistency in performance. However, the first player has a slightly higher mean batting average (0.294) compared to the second player (0.302), indicating overall better performance.