Answer :
Quartiles divide a dataset into 4 groups. The first quartile is the 25th percentile and has 25% of the values below it. The seond quartile, on the other hand, is the median or the 50th percentile with 50% of values below it; meanwhile, the third quartile has 75% of values below it.
Since we know that 138 lbs is the second quartile, then we can say that it is the median of the dataset. Therefore, there will be 50% of the sutdents who will weigh more than 138 lbs.
Since we know that 138 lbs is the second quartile, then we can say that it is the median of the dataset. Therefore, there will be 50% of the sutdents who will weigh more than 138 lbs.
Final answer:
Approximately 50% of female students at a major university weigh more than 138 lbs, as this value is the median, or second quartile, of their weight distribution.
Explanation:
To determine what percentage of students weigh more than 138 lbs, we can refer to the quartile information provided. Quartiles divide a data set into four equal parts. The second quartile (Q2), also known as the median, divides the data set in half; half of the data points are below it, and half are above it. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set. Given that Q2 is 138 lbs, this is the median weight of the data set. Therefore, approximately 50% of students weigh more than 138 lbs, as Q2 or median represents the middle value.
Learn more about Quartiles here:
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