BackSampling Distribution of the Sample Mean and Central Limit Theorem definitions
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1/15BackSkip to main contentBackPopulation Mean
The average value for an entire group, often unknown and estimated using sample data. Sample Mean
The average value calculated from a subset of the population, used to estimate the population average. Random Sample
A subset of individuals chosen from a population where each member has an equal chance of selection. Sampling Error
The difference between a sample statistic and the actual population parameter due to random chance. Sampling Distribution
The probability distribution of a statistic, such as the sample mean, from repeated samples of the same size. Central Limit Theorem
A principle stating that the sampling distribution of the sample mean approaches normality as sample size increases. Normal Distribution
A symmetric, bell-shaped curve describing the spread of a variable where most values cluster around the mean. Z-Score
A standardized value indicating how many standard deviations a statistic is from the mean of its distribution. Population Standard Deviation
A measure of variability for an entire group, reflecting how much individual values differ from the mean. Sample Size
The number of observations or data points included in a single sample from the population. Histogram
A graphical representation showing the frequency distribution of a set of data, often used for visualizing distributions. Right Skew
A distribution shape where most values are concentrated on the left, with a long tail extending to the right. Probability
A numerical measure of the likelihood that a specific event or outcome will occur. Statistic
A numerical value calculated from sample data, used to estimate a population parameter. Parameter
A numerical value summarizing a characteristic of an entire population, such as its mean or standard deviation.
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