Descriptive and inferential statistics, hypothesis testing, correlation, trend analysis and analysis techniques.
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- What is the mean?
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The average of all values in a dataset, calculated by summing all values and dividing by the count.
- What is the median?
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The middle value in an ordered dataset. For even-length data, the average of the two middle values.
- What is the mode?
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The most frequently occurring value in a dataset.
- What is standard deviation?
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A measure of how spread out data is from the mean. The square root of variance.
- What is variance?
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The average of squared deviations from the mean. The square of standard deviation.
- What is the range?
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The difference between the maximum and minimum values in a dataset.
- What is the interquartile range (IQR)?
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The difference between the third quartile (Q3) and first quartile (Q1), representing the middle 50% of data.
- What does skewness measure?
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The asymmetry of a distribution. Positive skew has a tail to the right, negative skew has a tail to the left.
- What is a normal distribution?
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A bell-shaped, symmetric distribution with most data near the mean and tails tapering equally on both sides.
- What does positive skew indicate?
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The tail extends to the right. The mean is greater than the median.
- What does negative skew indicate?
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The tail extends to the left. The mean is less than the median.
- What is a bimodal distribution?
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A distribution with two distinct peaks or modes.
- What is kurtosis?
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A measure of the extremity of tails and the sharpness of the peak in a distribution.
- What is a uniform distribution?
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A distribution where all values have equal probability of occurring.
- What is the null hypothesis?
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The statement of no effect, no difference, or no relationship being tested in hypothesis testing.