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- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/00%3A_Front_Matter/01%3A_TitlePageDefault Text
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/09%3A_Hypothesis_Testing/9.07%3A_Dependent_and_Independent_SamplesIn these types of tests we set the proportions of the samples equal to each other in the null hypothesis H 0 :p 1 =p 2 and use the appropriate standard table to determine the critical values (remember...In these types of tests we set the proportions of the samples equal to each other in the null hypothesis H 0 :p 1 =p 2 and use the appropriate standard table to determine the critical values (remember, for small samples we generally use the t distribution and for samples over 30 we generally use the z−distribution).
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/02%3A_Visualizing_Data_-_Data_Representation/2.05%3A_Frequency_Tables
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/02%3A_Visualizing_Data_-_Data_Representation/2.09%3A_Box-and-Whisker_Plots/2.9.02%3A_Applications_of_Box-and-Whisker_PlotsThe smallest data point (the extreme minimum) and the largest data point (the extreme maximum) are also displayed on the graph. Use the given box-and-whisker plot to identify: a) the extremes, b) the ...The smallest data point (the extreme minimum) and the largest data point (the extreme maximum) are also displayed on the graph. Use the given box-and-whisker plot to identify: a) the extremes, b) the median, c) the quartiles, d) the interquartile range, and e) the outliers (if any). The median value will be different, and the first and third quartile values will be affected because the outlier will not be calculated as part of the average.
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/05%3A_Analyzing_Data_and_Distributions_-_Standard_Deviation_and_Variance/5.04%3A_Coefficient_of_VarianceSuppose you were given three different sets of data, one with a variance of 3.2 and mean of 9.2, another with a variance of 16 and mean of 45, and the third with a variance of 155 and mean of 2100. By...Suppose you were given three different sets of data, one with a variance of 3.2 and mean of 9.2, another with a variance of 16 and mean of 45, and the third with a variance of 155 and mean of 2100. By finding the square root of the variance (the standard deviation), and dividing the standard deviation by the mean, you can find the coefficient of variation. A harmonic mean is calculated by dividing the number of values in the set by the sum of the inverses of the values in the set.
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/01%3A_Visualizing_Data_-_Data_Display_Options
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/04%3A_Analyzing_Data_and_Distribution_-_Central_Tendency_and_Dispersion/4.09%3A_Measure_of_Spread_or_DispersionBased on just this information, can you tell what will happen to the mean value of the data set when these new points are added? (In other words, can you say anything at all about whether the mean wil...Based on just this information, can you tell what will happen to the mean value of the data set when these new points are added? (In other words, can you say anything at all about whether the mean will or won’t increase, decrease, or stay the same, or do you not have enough information to tell—and if not, what additional information would you need?) A measure of the spread of the data set equal to the mean of the squared variations of each data value from the mean of the data set.
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/02%3A_Visualizing_Data_-_Data_Representation/2.08%3A_Stem-and-Leaf_Plots/2.8.02%3A_Stem-and-Leaf_Plots_and_HistogramsSince all the values fall between 1 and 84, the stem should represent the tens column, and run from 0 to 8 so that the numbers represented can range from 00 (which we would represent by placing a leaf...Since all the values fall between 1 and 84, the stem should represent the tens column, and run from 0 to 8 so that the numbers represented can range from 00 (which we would represent by placing a leaf of 0 next to the 0 on the stem) to 89 (a leaf of 9 next to the 8 on the stem).
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/02%3A_Visualizing_Data_-_Data_Representation/2.09%3A_Box-and-Whisker_Plots/2.9.03%3A_Effects_on_Box-and-Whisker_PlotsThe left whisker is elongated, but if we did not have the data, we would not know if all the points in that section of the data were spread out, or if it were just the result of the one outlier. The l...The left whisker is elongated, but if we did not have the data, we would not know if all the points in that section of the data were spread out, or if it were just the result of the one outlier. The lower quartile is the lower fourth of the data and the upper quartile separates the upper fourth of the data from the lower 75% of the data.
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/02%3A_Visualizing_Data_-_Data_Representation/2.07%3A_Scatter_Plots
- https://k12.libretexts.org/Bookshelves/Mathematics/Statistics/08%3A_Statistical_Interference_-_Interval_Estimates/8.01%3A_Expected_ValueThere is the cost to play the game (usually), the probability of winning the game, and the amount you receive if you win. True or false: The greater the number of games played, the closer the average ...There is the cost to play the game (usually), the probability of winning the game, and the amount you receive if you win. True or false: The greater the number of games played, the closer the average winnings will be to the theoretical expected value. The mean, often called the average, of a numerical set of data is simply the sum of the data values divided by the number of values. The payoff of a game is the expected value of the game minus the cost.
