A researcher records the following body mass index (BMI)scores for a group of participants: 28.4 1.6 (M SD).Participants who score between 25 and 30 on this scale are categorized as overweight.What percentage of participants fell in this category?
A).4834
B).1753
C).8413
D).8247

Question

A researcher records the following body mass index (BMI)scores for a group of participants: 28.4  1.6 (M  SD).Participants who score between 25 and 30 on this scale are categorized as overweight.What percentage of participants fell in this category?
A).4834 
B).1753 
C).8413 
D).8247

Quizplus · Accepted Answer

To find the percentage of participants who fell in the category of overweight, we need to find the number of participants whose BMI score falls between 25 and 30 and divide it by the total number of participants. 
As we do not know the total number of participants, we cannot calculate the exact percentage. However, we can use the standard deviation to estimate the percentage.
The mean BMI score is 28.4, and the standard deviation is 1.6. We know that participants with a BMI score of 25 or higher are considered overweight. So, we need to find the number of standard deviations from the mean that corresponds to a BMI score of 25. 
Z-score = (X - Mean)/SD
Z-score = (25 - 28.4)/1.6
Z-score = -2.125
Using a standard normal distribution table or calculator, we can find that the percentage of participants with a BMI score of 25 or higher is approximately 82.47%. Therefore, the answer is D, 8247.

A Researcher Records the Following Body Mass Index (BMI)scores for a Group