Question

Derek scored basehits in his last 5 games at home. The number that he scored in each game is in the table below. Game Number Base Hits 1 4 2 5 3 9 4 4 5 8 In which game did Derek's score have the greatest absolute deviation from the mean? TEKS 8.11B Derek scored basehits in his last 5 games at home. The number that he scored in each game is in the table below. Game Number Base Hits 1 4 2 5 3 9 4 4 5 8 In which game did Derek's score have the greatest absolute deviation from the mean? 5 4 3 2

Answer 1

Derek's score had the greatest absolute deviation from the mean in Game 3, with a deviation of 3.

Step-by-step explanation:

To determine in which game Derek's score had the greatest absolute deviation from the mean, we first calculate the mean (average) number of base hits.

1. Add up the base hits for all the games: 4 + 5 + 9 + 4 + 8 = 30.
2. Divide the sum by the number of games: 30 / 5 = 6. The mean base hit is 6.
3. Calculate the absolute deviation for each game by subtracting the mean from each game's base hits and taking the absolute value: |4 - 6|, |5 - 6|, |9 - 6|, |4 - 6|, |8 - 6|.
4. We get the following absolute deviations: 2, 1, 3, 2, 2 respectively.
5. The greatest absolute deviation from the mean is 3 (Game 3).

Therefore, Derek's score had the greatest absolute deviation from the mean in Game 3.