A set of data has a normal distribution with a mean of 50and a standard deviation of 8. What percent of the data should be less

Question

3 years ago

10

than 50

1 answer:

meriva · Answer 1 · 2022-06-29T07:19:38+03:00

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

$Mean=50\\SD = 8$

we have to find how much data will be less than 50.

So we have to calculate z-score for 50.

$z-score=\frac{x-Mean}{SD}\\=\frac{50-50}{8}=0$

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

$P(z$

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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