The maximum shower time is an illustration of mean and median, and the conclusion is to disagree with Blake's claim
<h3>How to interpret the shower time?</h3>
The question is incomplete, as the dataset (and the data elements) are not given.
So, I will answer this question using the following (assumed) dataset:
Shower time (in minutes): 6, 7, 7, 8, 8, 9, 9, 9, 12, 12, 12, 13, 15,
Calculate the mean:
Mean = Sum/Count
So, we have:
Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 12+ 12+ 12+ 13+ 15)/13
Mean = 9.8
The median is the middle element.
So, we have:
Median = 9
From the question, we have the following assumptions:
- The shower time of students whose shower times are above 10 minutes, is 10 minutes
- Other shower time remains unchanged.
So, the dataset becomes: 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10
The mean is:
Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 10+ 10+ 10+ 10+ 10)/13
Mean = 8.7
The median is the middle element.
So, we have:
Median = 9
From the above computation, we have the following table:
Initial Final
Mean 9.8 8.7
Median 9 9
Notice that the mean value changed, but it did not go below 8 as claimed by Blake; while the median remains unchanged.
Hence, the conclusion is to disagree with Blake's claim
Read more about mean and median at:
brainly.com/question/14532771
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