test 2 stats class

Question Answer
Measure of Center Value at the senter or middle of a data set.
Arithmetic mean/ Mean A set of data is the measure of center found by adding the data values and dividing the total by the number of data values
Sample size Number of data values
Median The measure of center that is the middle value when the originaldata values are arranged in order of increasing (or decreasing) magnitude
Mode the value that occurs with the greatest frequency
Bimodal When 2 data values occur with the same greatest frequency, each one is a mode
Multimodal When more than 2 data values occur with the same greatest frequency, each is a mode
No Mode When no data value is repeated
Midrange The measure of center that is the value mid-way between the maximum and minimum values in the original data set
Skewed If it is not symmetric and extends more to one side than the other
Range The differencde between the maximum data values and the minimum data values. Range=Max-min data values
Standard Deviation Measure of variation of values about the mean
Variance Measure of variatioan equal to the square of the standard deviation
Range Rule of Thumb Based on the principle that for any data sets, the vast majority of sample data values lie within 2 standard deviations of the mean
Empirical Rule Data sets that are approxiamently bell shaped these properties apply. 68% fall with in 1 standard deviation. 95% fall within 2 standard deviations. 99.7% fall within 3 standard deviations
Coefficient of Variation(or CV) A set of nonnegative sample or population data, expressed as a percent, describes the standard deviation relative to the mean
Z Score Number of standard deviations that a given value x is above or below the mean. Round to 2 decimal places (9.08)
Percentiles Measures of location, which divide a set of data into 100 groups with about 1% of the values in each group
Quatiles Measures of location, which divide a set of data into 4 groups with about 25% of the values in each group
Coefficient of Variation(or CV) A set of nonnegative sample or population data, expressed as a percent, describes the standard deviation relative to the mean
Z Score Number of standard deviations that a given value x is above or below the mean. Round to 2 decimal places (9.08)
Coefficient of Variation(or CV) A set of nonnegative sample or population data, expressed as a percent, describes the standard deviation relative to the mean
Z Score Number of standard deviations that a given value x is above or below the mean. Round to 2 decimal places (9.08)
Percentiles Measures of location, which divide a set of data into 100 groups with about 1% of the values in each group
Boxplot Graph of a data set that consist of a line extending from the min to max value, and a box with lines drawn at Q1, the median, and Q3
Quatiles Measures of location, which divide a set of data into 4 groups with about 25% of the values in each group
5-number Summary Consist of the minimum value, the first quartile, the median(Q2), Q3, and the maximum value
Boxplot Graph of a data set that consist of a line extending from the min to max value, and a box with lines drawn at Q1, the median, and Q3
Event Any collection of results or outcomes of a procedure
Simple Event Outcome or an event that cannot be further broken down into simpler components
Sample Space Consist of all possible simple events
Complement Event A, consist of all outcomes in which event A does not occur
Actual Odds Against A and B are integers having no common factors. A:B
Actual odds in favor B:A
Payoff Odds The ratio of the net profit to the amount bet
Compound Event Any event combining 2 or more simple events
Disjoint If they cannot occur at the same time
Independant Occurance of one event does not affect the other event
Dependant One event affects the other
Random Variable Variable that has a single numerical value, determined by chance, for each outcome of a Drocedure
Probability Distribution Description that gives the probability for each value of the random variable
Discrete Random Variable Finite number of values or a countable number of values
Continuous Random Variable Infinitely many values, and those values can be associated with measurements on a continuous scale witout gaps or interruptions
Expected Value Represents the mean of the outcomes