Ap Stats review sheet: Exploring data: 20-30% chapters 1, 2, 3, and 4. Difficulty easy. Things you need to know: ######################################################################################### ## Chapter 1 key info ## [--Hisogram--]: has even intervals for each bin, the bins are touching, and it's good ## for large sets of data. ## [--Shape--]: Explains in an image imagebin.ca/v/3LncMb2gDhDE ## [--Clusters--]: A group of distinct values. {Ex: imagebin.ca/v/3Lncu0ISYaGv} ## [--Gap--]: {Ex image: imagebin.ca/v/3LndW5ujQkTR} ## [--Cumulative Frequency--]: Sum the values of each bin and show the progression on a ## a graph {Ex image: imagebin.ca/v/3LnfKUcYEsJu} ## [--Relative Cumulative Frequency--]: The same as cumulative frequency but you use ## percentages instead of counts. ## [--Mean--]: The average value also noted as x̅(X-bar). x̅ is the mean of a sample. ## x̅ = sum of all values / number of values. ## [--Median--]: The middle number of the data. To find it list the numbers from least to ## greatest and then find the middle number. If there are two numbers in the middle find ## the average of the two. ## [--Mode--]: The number that shows up the most in the data. ## [--Out lier--]: A number that is different from the rest. Found with Tukey's law ## [--Out liers effect on data--]: ## {Ex image: imagebin.ca/v/3LnjawRIEklp} ## [--Five number summery--]: (Min, Q1, Median, Q2, and Max) ## [--Q1/Quartile 1--]: Median of the first half of the data. ## [--Q3/Quartile 3--]: Median of the second half of the data. ## [--Boxplot--]: Graph of the five number summery {Ex img:imagebin.ca/v/3LnlBbPnkDF9} ## find the 5 num summery first, label the axis, and mark outliers with an X on graph ## [--Range--]: Max - Min = Range ## [--Interquartile Range--]: Q3 - Q1 = IQR ## [--Tukey's Law--]: A method for calculating outliers. ## How to find outliers: Any number below Q1 - 1.5(IRQ) is an outlier and any number ## above Q3 + 1.5(IQR) is an outlier. ## [--Deviation--]: The amount a value is above or below the mean. ## To find do: Value - x̅ = Deviation for that value. Sum of all deviations add up to 0 ## [--Standard deviation--]: Square root of the average squared deviation from the mean. ## formula: imagebin.ca/v/3LnowClaupJS ## [--Variance--]: average of squared deviations. ######################################################################################### ######################################################################################### ## Chapter 2 key info ## [--Z Score--]: Value - Mean / Standard deviation. ## [--Density Curve--]: Overall pattern of the distribution, Total area sums to one. ## [--Sigma--]: σ “sigma” is the standard deviation of the density curve. ## [--Mu--]: μ “mu” is the mean of the density curve. ## [--Normal Distribution--]: ######################################################################################### ######################################################################################### ## Chapter 2 key info ## ######################################################################################### ######################################################################################### ## Chapter 2 key info ## ######################################################################################### ######################################################################################### ## Chapter 2 key info ## ######################################################################################### ######################################################################################### ## Chapter 2 key info ## #########################################################################################