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This 2 page Class Notes was uploaded by Jessica Nwachukwu on Friday September 16, 2016. The Class Notes belongs to math 1070 at Georgia State University taught by Dr.Liu in Fall 2016. Since its upload, it has received 7 views.
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Date Created: 09/16/16
3-4: Measures of Relative Standing and Boxplots Measures of relative standing are numbers showing the location of data values relative to the other values within a data set. Z Scores: Definition- the number of standard deviations that a given value x is above or below the mean. Calculation Formulas Sample Population x−x z= s z= x−μ σ (Hey! I know it’s boring but think of the snacks you can eat while studying! Think about it…Good! Now look down you scrub >)U Z Scores, Unusual Values and Outliers: Ordinary/Usual values: -2≤ z score ≤ 2 This means that anything between -2 and 2 are trustworthy values. Unusual values: z scores ≤ -2 or z score > 2 It the values are less -2 or greater than 2 then they are untrustworthy values. Percentiles (and Quartiles): Percentiles are the measures of location, denoted P P 1, 2… P99hich divide a set of data into 100 groups (with approx. 1% of the data in each group). Finding the percentile of a data value: total ¿of valueslessthan x percentileof value x= of values¿X100 ¿ Converting from the kth percentile to the location(L) of the corresponding data values: k L= 100 xn OR Excel: PERCENTILE(data, k/100) Quartiles are the measures of location, denoted Q Q , and1Q 2hich 3 divide a set of data into 4 groups( with approx.. 25% of the data in each group). First Quartile: Q =1 25 Second Quartile(Median): Q =P 2 50 Third Quartile: Q =3 75 5- Number Summary and Boxplot: 5-number summary consists of the minimum value, Q , Q , Q , 1 2 3 and the maximum value of the data set. Example Boxplot graph of the 5-number summary