Answer:
To summarize:
a) Diet Plan A had a larger percentage of patients losing more than 10 kg.
b) Both diet plans had the same percentage of patients losing weight.
c) Diet Plan A had a larger percentage of patients losing more than 15 kg.
d) Diet Plan A had a larger percentage of patients gaining weight.
Step-by-step explanation:
To analyze the data and answer the questions, let's calculate the percentage of patients falling into each category for both diet plans.
Diet Plan A:
Patients losing more than 10 kg: 5 kg (median) to 20 kg (maximum) => 5 out of 15 patients.
Patients losing weight: -10 kg (minimum) to 20 kg (maximum) => 14 out of 15 patients (all except 1 patient who gained weight).
Diet Plan B:
Patients losing more than 10 kg: 5 kg (median) to 15 kg (maximum) => 3 out of 15 patients.
Patients losing weight: -10 kg (minimum) to 15 kg (maximum) => 15 out of 15 patients.
Now, let's answer the questions:
a) Which diet plan had a larger percentage of patients losing more than 10 kg?
Diet Plan A had a larger percentage of patients losing more than 10 kg (5 out of 15 patients, or 33.33% of patients) compared to Diet Plan B (3 out of 15 patients, or 20% of patients).
b) Which diet plan had a greater percentage of people lose weight?
Both diet plans had the same percentage of patients who lost weight (15 out of 15 patients, or 100% of patients).
c) Which plan had the larger percentage of patients losing more than 15 kg?
Diet Plan A had a larger percentage of patients losing more than 15 kg. Since the maximum weight loss in Diet Plan A was 20 kg, and for Diet Plan B, it was 15 kg, the percentage is the same as in question a):
Diet Plan A: 5 out of 15 patients, or 33.33% of patients.
Diet Plan B: 3 out of 15 patients, or 20% of patients.
d) Which diet plan had the larger percentage of patients gaining weight?
Diet Plan A had a larger percentage of patients gaining weight. In Diet Plan A, 1 out of 15 patients gained weight, while in Diet Plan B, no patients gained weight.