Respuesta :

The correct answer is 14.3
DeanR

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.