2. What is the average percentage of homeruns of the following players In the Red Sox roster? Find the standard deviation of these numbers.
3. Find the information regarding the number of homeruns from each player… Player Homeruns OBP SLG AVG. M. Ramirez 6 .397 .565 .315 J. Varitek 3 .313 .438 .258 D. Ortiz 7 .329 .427 .226 K. Youkilis 4 .407 .537 .314 J. Lugo 0 .341 .342 .289 D. Pedroia 1 .340 .415 .299 C. Crisp 0 .315 .362 .290
4. After, finding the actual data you must find the average of these numbers (found in the home run column. ) Then you must divide the average number of homeruns by the number of players which is 7. Player Homeruns M. Ramirez 6 J. Varitek 3 D. Ortiz 7 K. Youkilis 4 J. Lugo 0 D. Pedroia 1 C. Crisp 0 21 21 / 7 = 3
5. Next you must subtract the average amount of homeruns from the amount of homeruns from each player. Next you square the deviation of each player. Player Homeruns – Avg. Homeruns Answer (Deviation) M. Ramirez 6 - 3 3 J. Varitek 3 - 3 0 D. Ortiz 7 - 3 4 K. Youkilis 4 - 3 1 J. Lugo 0 - 3 -3 D. Pedroia 1 - 3 -2 C. Crisp 0 - 3 -3 Player Deviation Deviation Squared M. Ramirez 3 9 J. Varitek 0 0 D. Ortiz 4 16 K. Youkilis 1 1 J. Lugo -3 9 D. Pedroia -2 4 C. Crisp -3 9
6. After the deviation is squared you add the those numbers up and divide by the average. Finally you take that total in this case 6.85 and square this number in order to find out the standard deviation. Deviation Squared 9 0 16 1 9 4 9 Total : 48 / 7 = 6.85 Standard Deviation: 46.92
