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I am watching some old videos of chalkdust. In one of the videos, the professor calculates quartiles as follows:

But the r.quantile function gives completely different result:

sage: 
sage: r.quantile([89, 90, 86, 96, 84, 100, 85, 96, 88, 89])
   0%   25%   50%   75%  100% 
 84.0  86.5  89.0  94.5 100.0
sage:

I am watching some old videos of chalkdust. on statistics. In one of the videos, the professor calculates quartiles as follows:

But the r.quantile function gives completely different result:

sage: 
sage: r.quantile([89, 90, 86, 96, 84, 100, 85, 96, 88, 89])
   0%   25%   50%   75%  100% 
 84.0  86.5  89.0  94.5 100.0
sage:

I am watching some old videos of chalkdust on statistics. In one of the videos, the professor calculates quartiles as follows:

But the r.quantile function gives completely different result:

sage: 
sage: r.quantile([89, 90, 86, 96, 84, 100, 85, 96, 88, 89])
   0%   25%   50%   75%  100% 
 84.0  86.5  89.0  94.5 100.0
sage:

Why is that?