뒤로Finding Probabilities, Z Values, and X Values with the Normal Distribution-Excel definitions
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1/15뒤로Skip to main content뒤로Standard Normal Distribution
A symmetric, bell-shaped curve with mean zero and standard deviation one, used for standardized z-scores. Z-Score
A standardized value indicating how many standard deviations a data point is from the mean. Cumulative Probability
The likelihood that a variable is less than or equal to a specific value, represented by the area under the curve to the left. Left Tail Probability
The probability that a value falls below a specified point in a distribution. Right Tail Probability
The probability that a value exceeds a specified point in a distribution. Complement Rule
A method for finding the probability of an event by subtracting the probability of its complement from one. Population Mean
The average value of all observations in a population, often denoted as mu. Population Standard Deviation
A measure of the spread of values in a population, denoted as sigma. Normal Distribution
A continuous, symmetric probability distribution defined by its mean and standard deviation. X Value
A specific data point or observed value within a normal distribution. NORM.S.DIST
An Excel function that returns the cumulative probability for a given z-score in the standard normal distribution. NORM.DIST
An Excel function that returns the cumulative probability for a given x value, mean, and standard deviation. NORM.S.INV
An Excel function that returns the z-score corresponding to a given cumulative probability in the standard normal distribution. NORM.INV
An Excel function that returns the x value corresponding to a given cumulative probability, mean, and standard deviation. 68–95–99.7 Rule
A guideline stating that about 68%, 95%, and 99.7% of data in a normal distribution fall within one, two, and three standard deviations from the mean.
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