Warm up Find the Mean Median Mode 0, 23, 12, 5, 8, 5, 13, 5, 15.

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Presentation transcript:

Warm up Find the Mean Median Mode 0, 23, 12, 5, 8, 5, 13, 5, 15

10.2 Measures of Variability

Goals Find measures of variability Use measures of variability to interpret and analyze data

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

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

Example 1 - Range

Example 2

Example 3 - Outliers

Example 4 – Using Measures of variability Interquartile range is 231-166.5 64.5 Describe what happens in each quartile: First Quartile you burn 166.5 calories or less Interquartile (half of the activities) you burn between 231 and 166.5 Third Quartile you burn more than 231

Example 5

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