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Compare the following heights in inches: BoysGirls 7261 7464 7065 6866 6968 7067 6865 6963 6762 7065 7166 67 64 66.

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Presentation on theme: "Compare the following heights in inches: BoysGirls 7261 7464 7065 6866 6968 7067 6865 6963 6762 7065 7166 67 64 66."— Presentation transcript:

1 Compare the following heights in inches: BoysGirls 7261 7464 7065 6866 6968 7067 6865 6963 6762 7065 7166 67 64 66

2 Computational Formulas and IQR’s

3 Computational Formula: This is an easier computational formula that contains no rounding.

4 Let’s try it! 7 18 22 34 42

5 You try one! 4 8 12 18 22 34 38

6 Is the standard deviation affected by outliers? 5 7 5 8 9 5 7 5 8 29

7 The standard deviation is sensitive to extreme values.

8 67 65 68 70 74 60 61 64 67 68 The following data represents the heights of some students in my class. a.Find the mean & st. dev. b.What % are within 1 st. dev. Of the mean? c.What % are within 2 st. dev. Of the mean?

9 IQR – Interquartile Range This is the measure of variability that is not affected by outliers. It’s based on quartiles.

10 25% - This is the median of the lower ½ of the sample. - This is the median. - This is the median of the upper ½ of the sample.

11 18242527 29303334

12 Find IQR 1213161822242740

13 Find IQR 8101114162022262832

14 Find IQR 456671022

15 If normal distribution – then you can estimate the standard deviation with the IQR. Standard Deviation *Can also be use to check to see if a distribution is normal – if much larger then it’s skewed.

16 Homework Worksheet Use the new formula to compute the standard deviation.

17 Now for the Lab!


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