50% of data will be less than 50
Step-by-step explanation:
A normal distribution has the shape of the graph like a bell.
Given
[tex]Mean=50\\SD = 8[/tex]
we have to find how much data will be less than 50.
So we have to calculate z-score for 50.
[tex]z-score=\frac{x-Mean}{SD}\\=\frac{50-50}{8}=0[/tex]
The z-score is zero. As we have to find the number of values less than 50 we will find the area to the left of curve
[tex]P(z<0) = 0.50[/tex]
In order to convert the probability into percentage
=0.50*100
=50%
Hence,
50% of data will be less than 50
Keywords: Probability, Area under the curve
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