Subjects statistics

Nba Shot Percentages Dce935

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1. **State the problem:** Calculate the total shots made and attempted for each player, then find the shot percentage as a decimal, percent, and fraction for each player. 2. **Formula:** - Total shots made = sum of shots made in Field Goal, Free Throw, and 3 Point Field Goal. - Total shots attempted = sum of shots attempted in Field Goal, Free Throw, and 3 Point Field Goal. - Decimal shot percentage = \frac{\text{Total shots made}}{\text{Total shots attempted}}. - Percent shot percentage = Decimal \times 100. - Fraction shot percentage = Simplified fraction of \frac{\text{Total shots made}}{\text{Total shots attempted}}. 3. **Important rules:** - When simplifying fractions, divide numerator and denominator by their greatest common divisor (GCD). - Percent is decimal multiplied by 100. 4. **Calculations:** **Kareem Abdul-Jabbar:** - Total made = 15837 + 1 + 6712 = 22550 - Total attempted = 28307 + 18 + 9304 = 37629 - Decimal = \frac{22550}{37629} - Simplify fraction by GCD(22550,37629) = 1 (no simplification) - Percent = 0.5993 \times 100 = 59.93% **Karl Malone:** - Total made = 13528 + 9787 + 85 = 23400 - Total attempted = 26210 + 13188 + 310 = 39708 - Decimal = \frac{23400}{39708} - GCD(23400,39708) = 12 - Simplified fraction = \frac{\cancel{23400}^{1950}}{\cancel{39708}^{3319}} - Percent = 0.5893 \times 100 = 58.93% **Kobe Bryant:** - Total made = 11719 + 1827 + 8378 = 21924 - Total attempted = 26200 + 5546 + 10011 = 41757 - Decimal = \frac{21924}{41757} - GCD(21924,41757) = 3 - Simplified fraction = \frac{\cancel{21924}^{7308}}{\cancel{41757}^{13919}} - Percent = 0.5251 \times 100 = 52.51% **Lebron James:** - Total made = 12216 + 1810 + 7290 = 21316 - Total attempted = 24248 + 5268 + 9917 = 39433 - Decimal = \frac{21316}{39433} - GCD(21316,39433) = 1 (no simplification) - Percent = 0.5407 \times 100 = 54.07% **Michael Jordan:** - Total made = 12192 + 581 + 7327 = 20100 - Total attempted = 24537 + 1778 + 8772 = 35087 - Decimal = \frac{20100}{35087} - GCD(20100,35087) = 1 (no simplification) - Percent = 0.5729 \times 100 = 57.29% 5. **Final answers:** | Player | Total Made | Total Attempted | Decimal | Percent | Fraction | |------------------|------------|-----------------|----------|---------|-------------------| | Kareem Abdul-Jabbar | 22550 | 37629 | 0.5993 | 59.93% | \frac{22550}{37629} | | Karl Malone | 23400 | 39708 | 0.5893 | 58.93% | \frac{1950}{3319} | | Kobe Bryant | 21924 | 41757 | 0.5251 | 52.51% | \frac{7308}{13919} | | Lebron James | 21316 | 39433 | 0.5407 | 54.07% | \frac{21316}{39433} | | Michael Jordan | 20100 | 35087 | 0.5729 | 57.29% | \frac{20100}{35087} |