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Statistics Fundamentals - 45 Key Concepts

Master statistics with 45 flashcards covering descriptive stats, probability, distributions, and hypothesis testing.

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Front

What is the Mean?

Back

The arithmetic average Sum of all values divided by the number of observations; used for symmetric data.

Front

What is the Median?

Back

The middle value in a sorted dataset The point where 50% of data is above and 50% is below; resistant to outliers.

Front

What is the Mode?

Back

The most frequently occurring value The value that appears most often; useful for categorical data.

Front

How do you calculate the Range?

Back

Maximum value minus Minimum value A simple measure of the total spread of the data.

Front

What is Variance?

Back

The average of the squared deviations from the mean $σ^2 = ∑(x - μ)^2 / N$; measures the spread of data points.

Front

What is Standard Deviation?

Back

The square root of the variance $σ = √Variance$; represents the average distance of data points from the mean.

Front

How do you calculate the Interquartile Range (IQR)?

Back

Q3 - Q1 Measures the spread of the middle 50% of the data; used to identify outliers.

Front

What does positive (right) skewness indicate?

Back

The tail on the right side is longer The mean is typically greater than the median.

Front

What is Kurtosis?

Back

A measure of the 'tailedness' of a distribution Describes how much of the data is in the tails versus the peak.

Front

What is the standard rule for identifying an Outlier?

Back

Values > Q3 + 1.5(IQR) or < Q1 - 1.5(IQR) Used to identify observations that fall significantly outside the main data body.

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