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MCAT Physics Ch. 12
Term | Definition |
---|---|
Measurements Of Central Tendency | Provide a single value representation for the middle of a group of data |
Arithmetic Mean / Average | Measure of central tendency that equally weighs all values. |
Median | Value that lies in the middle of the data set. 50% of data points are above and below the median. |
Mode | Data point that appears most often. There may be multiple (or zero) modes in a data set. |
Normal Distribution Is: | Symmetrical. |
Standard Normal Distribution | Normal distribution with a mean of zero and a standard deviation of one. |
Skewed Distributions | Have differences in their mean, median, and mode. |
The Skew Direction is The Direction Of The: | Tail of the distribution |
Bimodal Distributions Have: | Multiple peaks, although not necessarily multiple modes. |
Range | Difference between the largest and smallest values in a data set. |
Interquartile Range | Difference between the value of the third quartile and first quartile. This can be used to determine outliers. |
Standard Deviation | Measurement of variability about the mean. This can be used to determine outliers. |
Outliers May Be A Result Of: | True population variability, measurement error, or non-normal distribution |
Probability Of Independent Events: | Does not change based on the outcomes of other events. |
Probability Of A Dependent Event: | Changes depending on the outcomes of other events. |
Mutually Exclusive Outcomes: | Cannot occur simultaneously. |
Hypothesis Tests: | Use a known distribution to determine whether a hypothesis of no difference (null hypothesis) can be rejected |
Comparison Of A P-Value To The Selected Signficance Level (alpha): | Determines whether data is statistically significant |
Confidence Intervals | Range of values about a sample mean that are used to estimate the population mean. 95% is common. |
Pie Charts And Bar Charts Are used To Compare: | Categorical data |
Histograms And Box Plots Are Used To: | Compare numerical data |
Linear, Semilog, And Log-log Plots Can Be Distinguished By: | Their axes |
Correlation And Causation Are Separate Concepts Linked By: | Hill's criteria |
Eq. 12.1: Arithmetic Mean | xi to xn = values of all of the data points in the set. n = number of data points in the set. |
Eq. 12.2: Median Position | median position = (n + 1) / 2. n = number of data values. |
Eq. 12.3: Range | Range = xmax - xmin. xmax and xmin are the largest and smallest numbers in a dataset. |
Eq. 12.4: Interquartile Range | IQR = Q3 - Q1. Q3 and Q1 = third and fourth quartile values. |
Eq. 12.5: Standard Deviation | Sigma = standard deviation. xi to xn = values of all data points in the set. x(line above) = mean. n = number of data points in the set. |
Eq. 12.6: Probability Of Two Independent Events Co-occurring | Exp: The probability of two or more events occurring at the same time is the product of their probabilities alone. |
Eq. 12.7: Probability Of At Least One Event Occurring | Exp: Probability of at least one or two events occurring is equal to the sum of their initial probabilities, minus the probability that they will both occur. |
Eq. 12.8 Slope |