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4 votes
Please help me with this last part. The other parts are fine.



Please help me with this last part. The other parts are fine. ​-example-1
asked
User Aurelin
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2 Answers

6 votes
The correct answer is 14.3
answered
User Lorenzo Belli
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8.8k points
2 votes

These percentiles on small data sets are confusing. We have 8 data points. So the median is the average of the 4th and 5th.

The upper quartile, 75th percentile, is between the 6th and 7th data point of the 8. I calculated its index as (8-1)*.75=6.25. One definition of upper quartile has us just pick the next one up, 36 here. Another definition has us interpolate. Since 6.25 = (3/4) 6 + (1/4) 7 we take (3/4) 33 + (1/4) 36 = 33.75 as a 75th percentile. It's hard for me to choose without knowing what you were taught.

answered
User Maida
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8.1k points

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