Thursday, February 6th What are the measures of center?

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Presentation transcript:

Thursday, February 6th What are the measures of center? What are the measures of Spread?

EOCT Week 4-#4 Which statement is TRUE about the function? The function is always decreasing. The function values are always negative. The function has no maximum or minimum. d. The range is {1}.

Outliers Comparing Data Quiz TOMORROW Mean Median Mode MAD Range IQR Outliers Comparing Data

Goal: Outlier effecting measures of CENTER Homework Answers Goal: Outlier effecting measures of CENTER

Goal: Comparing measures of center and spread Classwork Answers Goal: Comparing measures of center and spread

Remember! Measures of Center Mean Median Mode *How CENTERED the data is Measures of Spread Range MAD IQR *How SPREAD out the data is

Mean Median Mode Range MAD IQR

IQR

Steps to find the Interquartile Range 1. Arrange the data from least to greatest. 2. Find the median. 3. Find the median of the lower quartile, 𝑸 𝟏 . 4. Find the median of the upper quartile, 𝑸 𝟑 . 4. Find the difference between the quartiles. 𝑸 𝟑 − 𝑸 𝟏

Median IQR Sample A Sample B

Compare Centers: Compare Variance/Dispersion/Spread:

IQR On Calculator Enter data into L1 STAT- CALC-1VARS Scroll down to see Q1 Q3 Find difference

Median IQR Sample A Sample B Compare Centers: Median IQR Sample A Sample B Compare Centers: Compare Variance/Dispersion/Spread:

Median IQR Car A Car B Compare Centers: Median IQR Car A Car B Compare Centers: Compare Variance/Dispersion/Spread:

Outliers

4. Any data outside the upper and lower boundaries is an outlier. Steps 1. Find IQR. Q3 – Q1 2. Multiply IQR by 1.5 1.5(IQR) 3. Determine the upper and lower boundaries. Lower: Q1 – 1.5(IQR) Upper: Q3 + 1.5(IQR) 4. Any data outside the upper and lower boundaries is an outlier.

1. Find IQR. Q3 – Q1 2. Multiply IQR by 1.5 1.5(IQR) 3. Determine the upper and lower boundaries. Lower: Q1 – 1.5(IQR) Upper: Q3 + 1.5(IQR) Lower: Upper: 4. Any data outside the upper and lower boundaries is an outlier.

Analyze Questions to Example 1: What are the outliers? What are the outliers? 2. How has the outlier affected the center of the data? 3. How has the outlier affected the spread of the data?

1. Find IQR. 2. Multiply IQR by 1.5 3. Determine the upper and lower boundaries. 4. Any data outside the upper and lower boundaries is an outlier.

Analyze Questions to Example 2: What are the outliers? What are the outliers? 2. How has the outlier affected the center of the data? 3. How has the outlier affected the spread of the data?

Worktime Ticket to Go Homework