\( \square \% \) of the area lies below the mean.
Solución de tutoría real
Responder
Solución
Revisado y aprobado por el equipo de tutoría de UpStudy
Bonus Knowledge
In a normal distribution, about \(50\%\) of the area under the curve lies below the mean. This characteristic highlights the symmetry of the normal distribution, where the mean, median, and mode are all equal and centrally located. So, if you were to slice this bell-shaped curve right down the middle, you'd find that half of the data points fall below the mean! When dealing with data sets, understanding the area representation can help in making better predictions. For example, if you know your data follows a normal distribution, knowing that \(50\%\) lies below the mean can help you assess probabilities for various outcomes, making it easier to make informed decisions in fields like finance, engineering, or social sciences.