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Warm up Find the Mean Median Mode 0, 23, 12, 5, 8, 5, 13, 5, 15
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10.2 Measures of Variability
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Goals Find measures of variability
Use measures of variability to interpret and analyze data
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Vocabulary Measures of Variability – describe the distribution of the data (Range, 1st Quartile, Median, 3rd Quartile) Range – the difference between the greatest and least values of the set (Largest value – Smallest value) Quartiles – the data is divided into 4 parts (“quarters”). Median divides the data into half First quartile divides the lower half into quarters Third quartile divides the upper half into quarters
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Vocab Interquartile Range – The range of the two middle quarters (Q3 – Q1) Outlier – values that are (1.5 times the interquartile range) beyond the quartiles Find the interquartile range (Q3 – Q1) Multiply by 1.5 Subtract this value from Q1, Add to Q3. Numbers beyond these values are outliers
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Example 1 - Range
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Example 2
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Example 3 - Outliers
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Example 4 – Using Measures of variability
Interquartile range is Describe what happens in each quartile: First Quartile you burn calories or less Interquartile (half of the activities) you burn between 231 and Third Quartile you burn more than 231
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Example 5
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