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7.5
Unit Vocabulary
Question | Answer |
---|---|
Mean | the arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores |
Median of a set of numbers | the middle score in a distribution, to find the median, put the numbers in order first and then use the rainbow or undelining method to find the middle number(s), if there are 2 numbers in the middle, add them and divide by 2 |
Mode | the most frequently occurring score(s) in a distribution the most "popular", not the biggest number |
Range | thespread of the data, the difference between the highest and lowest scores in a distribution (high-low) |
Box Plot (Box and Whisker Plot) | a graphical representation showing the five-number summary of data (minimum, lower quartile, median, upper quartile, maximum) |
minimum | smallest number in a data set, bottom of the whisker |
Q1- Ist or lower quartile | The median of the bottom half of data, bottom of the box |
Median (Box Plot) | Middle of the box |
Q3- 3rd or upper quartile | The median of the top half of the data, top of the box |
Maximum | largest number in a data set, top of the whisker |
Interquartile Range (IQR) | the difference between the first and third quartiles Q3-Q1 or top of the box- bottom of the box |
Dot Plot | Displays data graphically using a small dot (or other symbol, like x) for each data piece. Ordered from least to greatest. |
Data Shape | Data can be symmetric, skewed right, or skewed left. The skew is the tail. |
Measure of Center (Dot Plot) | Represented by the median and the mean. -Skewed: the median is the best measure of center. -Symmetric: the mean is the best measure of center. |
Probability | The chance that something will happen. Always between 0 and 1. P=# of successful outcomes/# of total possible outcomes |
Certain Probability | When an event will definitely happen, the probability is 1. |
Impossible Probability | When an event cannot happen, the probability is 0. |
Likely Probability | The closer to 1, the more likely an event is to happen. |
Unlikely Probability | The closer to 0, the less likely an event will happen. |
Sample | A subset of an entire group. It refers to a portion of the group with specific characteristics. |
Population | Refers to the entire group when collecting data. |
Random Sample | Everyone in the population must have an equal chance of being selected. |
Combination | A collection of things in which order does not matter. |
Sample Space | The set of all possible outcomes or results. Can be shown using a tree diagram (see below), table or list. |
Tree Diagram | Shows all the possible outcomes or results. Drawn using “branches” coming out of every option. |
Counting Principle | Used to find the number of possible outcomes. Multiply the number of outcomes together. |
Independent Probability | When the outcome of one event does not impact the outcome of the second event. P(A) x P(B) |
Dependent Probability | When the outcome of one event impacts the outcome of another. P(A) x P(B after A) |
Experimental Probability | The ratio of the number of times an event occurs to the total number of trials. |
Theoretical Probability | The probability of an event happening based on the possible outcomes. |
Simulation | Represents the likelihood of a real-life event occuring by using an experiment with similar probabilities. |
Prediction | Probability can be used to make predictions for future occurrences by setting up and solving a proportion. |