Basics of ML & AL Week 2 Challenge
2. What is the significance of expected value when simple mean (Sum of all observations/number of observations) is already in place.
Ans : The significance of the expected value lies in its connection to probability theory and its ability to provide a theoretical average. It allows us to analyze and make predictions about random phenomena, even when the actual observations are not available. The expected value provides a measure of central tendency and can be used to calculate other important statistical quantities, such as variance, covariance, and moments.
3. Having skewness in the curve considered to be bad in the analysis?
Ans :
Skewness in a data distribution is not necessarily "bad" or undesirable in all cases. The interpretation of skewness depends on the context and the specific analysis being conducted. Skewness is a measure of the asymmetry of the distribution, indicating whether the data is skewed to the left (negative skewness) or to the right (positive skewness) relative to the mean.
4. explain the curve
Ans : The normal distribution curve is a bell-shaped curve that represents a continuous probability distribution. It is symmetric around the mean and is characterized by two parameters: the mean (μ) and the standard deviation (σ). The area under the curve represents the probability of observing a random variable within a certain range.
Approximately 68% of the data falls within one standard deviation (σ) of the mean (μ). This means that about 34% of the data is within σ to the left of the mean, and another 34% is within σ to the right of the mean.
Approximately 95% of the data falls within two standard deviations (2σ) of the mean (μ). This implies that about 13.6% of the data is within 2σ to the left of the mean, and another 13.6% is within 2σ to the right of the mean.
Approximately 99.7% of the data falls within three standard deviations (3σ) of the mean (μ). This means that about 2.3% of the data is within 3σ to the left of the mean,
So, when you mention that the normal distribution curve is separated on the right side with 34.1% and 13.6%, it aligns with the 68-95-99.7 rule. The 34.1% represents the area under the curve that falls within one standard deviation to the right of the mean, while the 13.6% represents the area within two standard deviations to the right of the mean.