Thursday, February 6th

1. What are the measures of center?

2. What are the measures of Spread?

EOCT WEEK 4-#4 Which statement is TRUE about the function?a. The function is

always decreasing.

b. The function values are always negative.

c. The function has no maximum or minimum.

d. The range is {1}.

QUIZ TOMORROW 1. Mean 2. Median 3. Mode4. MAD 5. Range 6. IQR 7. Outliers

Comparing Data

HOMEWORK ANSWERS

Goal: Outlier effecting measures of

CENTER

CLASSWORK ANSWERS

Goal: Comparing measures of center

and spread

REMEMBER! Measures of

Center

1. Mean 2. Median3. Mode

*How CENTERED the data is

Measures of Spread

1. Range 2. MAD 3. IQR

*How SPREAD out the data is

Mean Median Mode

RangeMADIQR

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, .4. Find the median of the upper quartile, .

4. Find the difference between the quartiles.

  Median IQRSample A

   

Sample B

   

Compare Centers:   Compare Variance/Dispersion/Spread:

IQR ON CALCULATOR 1. Enter data into L12. STAT- CALC-1VARS3. Scroll down to see

Q1Q3

Find difference

  Median IQR

Sample A    Sample B    

Compare Centers:   Compare Variance/Dispersion/Spread:

  Median

IQR

Car A    Car B    Compare Centers:

   Compare Variance/Dispersion/Spread:

Outliers

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.

 

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)

Lower:Upper:

4. Any data outside the upper and lower boundaries is an outlier.

   

Questions to Example 1: 1. 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?

Analyze

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.

 

Questions to Example 2: 1. 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?

Analyze

WORKTIME

1.Ticket to Go

2.Homework