Deidre does not think exercise makes a difference in weight loss when trying to lose weight. She gets two random samples of the amount of weight lost between those with exercise and those without. The top graph shows the amount of weight lost for those with exercise and the bottom graph shows the amount of weight lost for those without exercise.
Which statement correctly compares the distributions?
Responses
A On average, those who exercised lost about 4 more pounds than those who did not exercise.On average, those who exercised lost about 4 more pounds than those who did not exercise.
B Those who exercised had more consistent weight loss than those who did not exercise. Those who exercised had more consistent weight loss than those who did not exercise.
C Those who did not exercise lost 2 fewer pounds than those who did exercise. Those who did not exercise lost 2 fewer pounds than those who did exercise.
D 50% of the people who exercised lost more weight than 50% of the people who did not exercise. 50% of the people who exercised lost more weight than 50% of the people who did not exercise.
E Those who did not exercise lost 5 more pounds than those who did exercise. Those who did not exercise lost 5 more pounds than those who did exercise.
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A. On average, those who exercised lost about 4 more pounds than those who did not exercise.
and
B. Those who exercised had more consistent weight loss than those who did not exercise.
any more
No, those are the only statements that can be made based on the information provided.
To compare the distributions, we need to analyze the information given in the graphs. Let's go through each option and see if it correctly describes the comparison.
A) On average, those who exercised lost about 4 more pounds than those who did not exercise.
To determine if this statement is true, we need to compare the means (averages) of the two distributions. Check the top and bottom graphs for the average weight loss values. If the average weight loss for those who exercised is approximately 4 pounds more than the average weight loss for those who did not exercise, then option A is correct.
B) Those who exercised had more consistent weight loss than those who did not exercise.
To assess the consistency of weight loss, we need to look at the spread or variability of the data in both graphs. If the bottom graph (those who did not exercise) exhibits higher variability in weight loss compared to the top graph (those who exercised), then option B is correct.
C) Those who did not exercise lost 2 fewer pounds than those who did exercise.
We need to compare the weight loss values for those who exercised and those who did not exercise. If, on average, the weight loss for those who did not exercise is 2 pounds less than those who did exercise, then option C is correct.
D) 50% of the people who exercised lost more weight than 50% of the people who did not exercise.
This statement compares the medians (50th percentiles) of both distributions. Look for the location of the median in each graph. If the median weight loss for those who exercised is higher than the median weight loss for those who did not exercise, then option D is correct.
E) Those who did not exercise lost 5 more pounds than those who did exercise.
Again, we need to compare the weight loss values for those who exercised and those who did not exercise. If, on average, the weight loss for those who did not exercise is 5 pounds more than those who did exercise, then option E is correct.
By examining the information presented in the graphs and comparing it with each statement, you can determine which option correctly compares the distributions.