when normal distribution curve is more flatter in

jayeshmahadik6879

jayeshmahadik6879

Answered question

2022-07-19

when normal distribution curve is more flatter in the case on

Answer & Explanation

Andre BalkonE

Andre BalkonE

Skilled2023-05-29Added 110 answers

To visualize this, let's consider two normal distribution curves: one with a smaller standard deviation and another with a larger standard deviation.
The probability density function (PDF) of a normal distribution with mean μ and standard deviation σ is given by:
f(x)=12πσe(xμ)22σ2
When the standard deviation is smaller, the curve becomes taller and narrower. The values in the distribution are concentrated around the mean, resulting in a peak at the center of the curve. This is known as a narrow distribution.
On the other hand, when the standard deviation is larger, the curve becomes flatter and wider. The values in the distribution are more spread out, resulting in a less pronounced peak. This is known as a wide distribution.
Visually, a flatter normal distribution curve has a smaller peak and a broader shape compared to a standard normal distribution curve.

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