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Review Vocab Chapter 3

AB
statisticis a characteristic or measure obtained by using the data values from a sample
parameteris a characteristic or measure obtained by using all the data values from a specific population
meanis the sum of the values, divided by the total number of values.
modal classis the class with the largest frequency.
midrangeis found by adding the lowest and highest values in the data set and dividing by 2
multimodalis a data set has more than two values that occur with the same greatest frequency
data arrayis when the data set is ordered.
modeis the value that occurs most often in a data set.
unimodalis a data set that has only one value that occurs with the greatest frequency.
bimodalis a data set that has values that occur with the same greatest frequency.
positively skewed or right-skewed distributionis the majority of the data values fall to the left of the mean and cluster at the lower end of the distribution; the “tail” is to the right.
symmetric distributionis the data values that are evenly distributed on both sides of the mean.
negatively skewed or left-skewed distributionis when the majority of the data values falls to the right of the mean and cluster at the upper end of the distribution, with the tail to the left.
boxplotis a convenient way of depicting groups of numerical data through five-number summaries
decileis any of the nine values that divide the sorted data into ten equal parts, so that each part represents 1/10 of the sample or population.
Chebyshev’s theoremis the proportion of values from a data set that will fail within k standard deviations of the mean will be at least 1 – 1/k2, where k is a number greater than 1 (k is not necessarily an integer)
range rule of thumbis that the difference of the largest and smallest value will be about 4 standard deviations
exploratory data analysisdata can be organized using a stem and leaf plot
five-number summaryconsists of the upper and lower extremes, the median, and the upper and lower quartile.
interquartile range (IQR)is a measure of statistical dispersion, being equal to the difference between the third and first quartiles
quartileis any of the three values which divide the sorted data set into four equal parts.
Standard score (Z score)is the standard score indicates how many standard deviations an observation or datum is above or below the mean
weighted meanis the type of mean that considers an additional factor that is used when the values are not equally represented
Outliersare extremely high or extremely low data value in a data set that may have a striking effect on the mean of the data set.
Percentilesdivide the data set into 100 equal groups.
coefficient of variation (CVar)is the standard deviation divided by the mean
range variancedistance between highest value and lowest value average of the squares of the distance that each value is form the mean.
standard deviationis the square root of the variance
varianceis the average of the squares of the distance each value is from the mean.
rangeis the highest value minus the lowest value.
Medianis the midpoint of the data array
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