
We looked up the Z Score for -3.478 in our Normal Distribution Tables with Z Scores so you don't have to!
First, note that a Z Score of -3.478 means that your statistic is -3.478 standard deviation to the left of the mean on a bell curve. Here is a Bell Curve so you can visualize where -3.478 is on a bell curve.

We used three different distribution tables, and we will give you the -3.478 Z Score probability, percentile, and explanations for all three.
Cumulative from mean
This gives you the probability of the area from the mean to your Z Score. The cumulative from-mean probability and percentile for a -3.478 Z score is displayed here:
0.499747415037549
= 49.9747%
Cumulative
This gives you the probability of the area below the Z Score. The cumulative probability and percentile for a -3.478 Z score is displayed here:
0.000252584962450841
= 0.0253%
Complementary cumulative
This gives you the probability of the area above the Z Score. The complementary cumulative probability and percentile for a -3.478 Z Score is displayed here:
0.999747415037549
= 99.9747%
Z Score Table Lookup
Here you can submit Z Scores between -3.999 and 3.999 for us to look up in our Normal Distribution Tables.
Z Score -3.477
Here is the next Z Score we looked up in our Normal Distribution Tables.
The percentiles on this page are rounded to the nearest 4 decimals.
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