1. Foundations of Math I: Unit 3 - Statistics Arithmetic average Median: Middle of the data listed in ascending order (use if there is an outlier) Mode: Most common number (can be more than one number or no numbers) Mean ( x ): Range: Difference between the Maximum and Minimum Inner Quartile Range (IQR): Difference between 3 rd and 1 st Quartiles (Middle 50% of data) Quartiles: Separates ascending data into 4 equally sized(25%) groups based on the how many data values

2. Q1Q2 Med Q3 Max Q4 Min 25% IQR: Q3 – Q1 Range: Max – Min Boxplot: “Box and Whisker” Whiskers represent outside quartiles (Min to Q1 and Q3 to Max) Boxes Represent inside quartiles (Q2 to Med and Med to Q3) Minimum Value (0 Percentile) Q1: Quartile 1 (25 th Percentile) Med (Q2): Median (50 th Percentile) Min: Q3: Quartile 3 (75 th Percentile) Max: Maximum or Q4 (100 th Percentile)

3. 1a. Identify the values of the five-number summary Maximum = _________Minimum = __________ Median = ____________ 1 st Quartile = _________3 rd Quartile = __________ 1b. Calculate: Range = __________________________________ Inner Quartile Range = _________________________

4. 2a. Identify the values of the five-number summary Maximum = _________Minimum = __________ Median = ____________ 1 st Quartile = _________3 rd Quartile = _________ 2b. Calculate: Range = __________________________________ Inner Quartile Range = __________________________

5. Interpreting Boxplots: Test Scores 1)Estimate the values of the five-number summary Min = ____Q1 = _____ Med = _____ Q3 = _____ Max = _____ 2)What is the Minimum Test score? 2. ______________ 3)What is the Range?3. ______________ 4)What percentage of students scored between 65 and 90? A. 25%B. 50%C. 75%D. 100% 5)What percentage of students scored above 90? A. 25%B. 50%C. 75%D. 100% 6)What percentage of students scored above below 85? A. 25%B. 50%C. 75%D. 100%

6. 60 70 80 90 100 110 120 130 140 145 Box plot of Bowling SCORES 1)Estimate the values of the five-number summary Min = ____Q1 = _____ Med = _____ Q3 = _____ Max = _____ 2)What is the maximum score? 2. ______________ 3)What is the IQR?3. ______________ 4)What percentage of bowlers got above a 85? A. 25%B. 50%C. 75%D. 100% 5)What percentage of bowlers got below a 100? A. 25%B. 50%C. 75%D. 100%

7. Using 5-number Summary like a Box Plot The following numbers make the five number summary: 275, 785, 560, 435, 380 1)What is the median? 1. ______________ 2)What is the maximum? 2. ______________ 3)What is the maximum? 2. ______________ 4)What is the IQR?3. ______________ 5)What percentage of data values are above 560? A. 25%B. 50%C. 75%D. 100% 6)What percentage of data values are between 435 and 785? A. 25%B. 50%C. 75%D. 100% 7)What percentage of data values are below 380? A. 25%B. 50%C. 75%D. 100%

8. Comparing Boxplots: Quiz scores of two math classes A: B: 1.Which boxplot has a larger median? 2.Which boxplot had a smaller minimum? 3.Which boxplot has a larger maximum? 4.Do the boxplots have any common 5-number summary values? If so, which value? 5.Which class would say did better on the test? Why?

9. Comparing Boxplots: Bowling Scores of 2 PE classes A: B: 1.Which boxplot has a smaller median? 2.Which boxplot had a smaller Q3? 3.Which boxplot has a larger Q1? 4.Do the boxplots have any common 5-number summary values? If so, which value? 5.Which class would say were better bowlers? Why?

10. Comparing Boxplots: Points Scored by two players A: B: 1.Which boxplot has a larger median? 2.Which boxplot had a larger Q3? 3.Which boxplot has a smaller Q1? 4.Do the boxplots have any common 5-number summary values? If so, which value? 5.Which player would you want on your team? Why?