The weights of some sumo wrestlers and ballet dancers are: Sumo wrestlers: 295.2 kg, 250.7 kg, 234.1 kg, 221.0 kg, 200.9 kg. Ballet dancers: 40.3 kg, 37.6 kg, 38.8 kg, 45.5 kg, 44.1 kg, 48.2 kg. Approximately how many times heavier is a sumo wrestler compared to a ballet dancer?
Given: Sumo wrestlers' weights: 295.2 kg, 250.7 kg, 234.1 kg, 221.0 kg, 200.9 kg Ballet dancers' weights: 40.3 kg, 37.6 kg, 38.8 kg, 45.5 kg, 44.1 kg, 48.2 kg
Step 1: Calculate sum of sumo wrestlers' weights 295.2 + 250.7 + 234.1 + 221.0 + 200.9 = 1201.9 kg
Step 2: Calculate average weight of sumo wrestlers 1201.9/5 = 240.38 kg
Step 3: Calculate sum of ballet dancers' weights 40.3 + 37.6 + 38.8 + 45.5 + 44.1 + 48.2 = 254.5 kg
Step 4: Calculate average weight of ballet dancers 254.5/6 = 42.42 kg
Step 5: Find the ratio 240.38/42.42 5.7 times
Answer: A sumo wrestler is approximately 5.7 times heavier than a ballet dancer.
Explanation
To find how many times heavier, we can compare the average weights. Sumo wrestlers' average = (295.2 + 250.7 + 234.1 + 221.0 + 200.9)/5 = 1201.9/5 = 240.38 kg. Ballet dancers' average = (40.3 + 37.6 + 38.8 + 45.5 + 44.1 + 48.2)/6 = 254.5/6 = 42.42 kg. Ratio = 240.38/42.42 5.7 times.
Solution Steps
Step 1: Calculate sum of sumo wrestlers' weights: 295.2 + 250.7 + 234.1 + 221.0 + 200.9 = 1201.9 kg
Step 2: Calculate average weight of sumo wrestlers: 1201.9/5 = 240.38 kg
Step 3: Calculate sum of ballet dancers' weights: 40.3 + 37.6 + 38.8 + 45.5 + 44.1 + 48.2 = 254.5 kg
Step 4: Calculate average weight of ballet dancers: 254.5/6 = 42.42 kg
Step 5: Find the ratio: 240.38/42.42 5.7 times