M-B doesn't give you discrete categories but a gradation

Myers-Briggs Type Indicator

The statistical validity of the MBTI as a psychometric instrument has also been subject to criticism, in particular, the dichotomous scoring of dimensions. For example, it was expected that scores would show a bimodal distribution with peaks near the ends of the scales. However, scores on the individual subscales are actually distributed in a centrally peaked manner similar to a normal distribution. A cut-off exists at the centre of the subscale such that a score on one side is classified as one type, and a score on the other side as the opposite type. This fails to support the concept of type--the norm is for people to lie near the middle of the subscale.

BTW, I had a look at the test and I find many items highly questionable from a methodological point of view. For example, these questions:
"You tend to be unbiased even if this might endanger your good relations with people"
"Strict observance of the established rules is likely to prevent a good outcome"
"It is in your nature to assume responsibility"
"You easily see the general principle behind specific occurrences"

I find several problems:
These questions use polysemous words without clarifying their definition
Many of them are value-charged
A great number could/should be answered by something else than YES or NO
The whole test presupposes you have an objective vision of yourself...

"Dieu se rit des hommes qui se plaignent des conséquences alors qu'ils en chérissent les causes" Jacques-Bénigne Bossuet