Unit 1-Lesson 2: Box-and-Whisker Plots

Transcription

1 Name: Unit 1-Lessn 2: Bx-and-Whisker Plts Date: Perid: Definitins: Mean: Calculate it by: Median (Q2): Mde: Example 1: Use the fllwing data set t calculate the mean, median, and mde Mean: Median: Mde: STOP AND JOT: Hw d yu calculate the median if a data set has 2 middle numbers? What happens if mre than 1 number appears the mst? Minimum: Maximum: Lwer Quartile (LQ): Upper Quartile (UQ): Range: Interquartile Range (IQR): Bx-and-Whisker Plt: Label: Page 1 f 6

2 Reference the picture belw t see hw a data set is separated int halves. Example 2: Use data set frm Example 1 t calculate the minimum, LQ, UQ, maximum, range, and IQR. Then, cnstruct a bx-and-whisker plt with an ACCURATE number line! Minimum: LQ: Median: UQ: Maximum: Range: IQR: Bx-and Whisker Plt: Directins: Use the fllwing data set t calculate the mean, mde, range, IQR, and t cnstruct a bx-and-whisker plt Mean: Mde: Range: IQR: Min: LQ: Median: UQ: Max: Space fr wrk: Page 2 f 6

3 Outlier: Calculate it by: AND STOP AND JOT: What 3 values need t already be calculated in rder fr us t determine if there are utliers in a data set? Example 3: Use the same data set frm Example 1 and 2 t determine if there are any utliners in the data a. Lwer Bund fr Outlier: Upper Bund fr Outlier: b. Are there any utliers? If s, which value(s)? c. Calculate the mean and median f the data set bth with and withut the utlier. Describe what happens. Data Set Mean Median With Outlier Withut Outlier Describe what happens: When there are utliers in a data set, ur five number summary shuld NOT include the utliers. Example 4: Let s g back t Example 2 and recreate ur bx-and-whisker plt withut including the utlier. The utlier will still be included in ur number line, but it will nt be incrprated int ur bxand-whisker plt. Minimum: LQ: Median: Outlier: UQ: Maximum: Range: IQR: Bx-and-Whisker Plt: Page 3 f 6

4 Directins: Use the data set frm the first Practice Makes Perfect t calculate the mean, mde, range, IQR, and t cnstruct a bx-andwhisker plt WITHOUT the utlier included in the five number summary Mean: Mde: Range: IQR: Min: LQ: Median: UQ: Max: Space fr wrk: Interpreting Bx-and-Whisker Plts: Each quartile represents 25% f the data 25% f the data lies within each quartile STOP AND JOT: What percent f the data falls between the minimum and LQ? What percent f the data falls between the LQ and UQ? What percent f the data falls between the minimum and median? What percent f the data falls between the median and maximum? What percent f the data falls between the LQ and maximum? Page 4 f 6

5 Example 5: Based n the bx-and-whisker plt, which f these must be true? a. The median age is 24. b. The lwer quartile age is 18. c. Half f the ages are between 23 and 30. d. The interquartile range is half f the range. Directins: The bx-and-whisker plt shws the length f varius snakes in inches. List 5 things that yu can cnclude frm this bx-and-whisker plt Duble Bx-and-Whisker Plts: Duble Bx-and-Whisker Plts: Example 6: The duble bx-and-whisker plt belw shws a bx-and-whisker plt fr test scres frm tw different math classes - yur class and yur friend s class. What can yu cnclude when cmparing these tw bx and whisker plts? Cme up with at least 4! Page 5 f 6

6 It is time t make yur wn duble bx and whisker plt and then make cnclusins abut it! In the table belw, cllect data frm 20 classmates - 10 girls and 10 bys. Fr each student, find their height (in INCHES) and put it in the crrect clumn. Then, create a duble bx-and-whisker plt, ne fr each gender. Be sure t EXCLUDE utliers. Finally, make 4 cnclusins frm the data display. Write yur cnclusins n a separate sheet f paper. Male Students Height (in inches) Female Students Height (in inches) Males: Min: LQ: Med: UQ: Max: Outliers: Females: Min: LQ: Med: UQ: Max: Outliers: Page 6 f 6