HW: Box and Whisker Wkst (due Monday 5/8) Wednesday, 5/3/17 Write the IC and HW in your planner. IC: Box and Whisker Plots HW: Box and Whisker Wkst (due Monday 5/8) Materials Pencil Planner Marker HW 1

Bellwork Directions: Like yesterday, label your slates like you see below. Take the scenarios and place each one under one of the two categories. Good sample Bad sample

"Good" "Bad" 2. To determine the number of students who plan on attending the Valentine’s Day dance, 20 students are randomly selected from each grade level. 1. To determine how many students have pets, all students in one classroom are surveyed. 4. To determine the most popular color of car, the color of every 12th car that crosses an intersection is recorded. 3. To determine whether customers are satisfied with their meals, a restaurant collects comment cards that are voluntarily filled out by customers. 5. To determine the most popular major league baseball team among its readers, a sports magazine polled by telephone a random selection of its readers. 6. The student council would like to sell pizza slices during home basketball games as a fundraiser. During a home game with 250 people in attendance, they surveyed every 10th spectator to enter the gym about their favorite pizza toppings.

Super El Nino Comparisons

Box-and-Whisker Plots Objective: TSWBAT create/read/interpret box-and-whisker plots. Date ____________ Box-and-Whisker Plots Definitions: 1) Box-and-Whisker Plot: Used by statisticians to easily find the median, quartiles, high and low data points, and outliers 2) Extremes: Represent the highs and lows. (Ends of the whiskers) 3) Median: The middle number after they have been put in order 4) Upper Quartile: Middle number of the top half. Lower Quartile: Middle number of the bottom half. Range: The difference between the upper and lower extremes. 18-1 =17 1, 3, 3, 4, 5, 5, 5, 6, 10, 10, 11, 18 3+4=7 7÷2= 3.5 10+10=20 20÷2= 10 5+5 =10 10÷2= 5

1, 3, 3, 4, 5, 5, 5, 6, 10, 10, 11, 18 Upper Extreme Lower Extreme 5 3.5 10 1, 3, 3, 4, 5, 5, 5, 6, 10, 10, 11, 18 Upper Extreme Lower Extreme 5 Median 1st / Lower Quartile 3rd / Upper Quartile 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 50% Ex. 1) What percent of the data values are in the box? Ex. 2) What percent of the data values are on both the whiskers? 50% Ex. 3) What percent of the data values were at or above the median? 50% Ex. 4) What percent of the data values were at or below 3.5? 25%

1, 3, 3, 4, 5, 5, 5, 6, 10, 10, 11, 18 Upper Extreme Lower Extreme 5 3.5 10 1, 3, 3, 4, 5, 5, 5, 6, 10, 10, 11, 18 Upper Extreme Lower Extreme 5 Median 1st / Lower Quartile 3rd / Upper Quartile 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Ex. 5) What is the range of the data? 18 – 1 = 17 Ex. 6) What is the range of the middle half of the data? 10 – 3.5 = 6.5

Slate Time! Use the given data to make a box-and-whisker plot. 3, 0, 4, 1, 5, 2, 6, 3, 4, 1, 5, 3 0, 1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 6 1.5 4.5 3 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Slate Time! 2) The graph shows the results of test scores. Which statement is true? 25% of the students received a 100 on the test. Less than 25% of the students received 50 or less on the test. 50% of the students received 70 or 75 on the test. 50% of the students received between 50 and 90 on the test. 3) The box-and-whisker plot summarizes data about the 1st-quarter final test scores. What percent of the scores were at or above 78? 25% 50% 75% 100%

4) A parent wanted to plot the age of the participants in a swim club 4) A parent wanted to plot the age of the participants in a swim club. She found that the bottom 50% were ages 8 to 10. Which plot did she make? A) B) C) D) 10 5) What is the lower quartile of box plot D? What is the median of box plot C? What is the 3rd quartile of box plot A? 10.5 13

The median of box plot A is higher than the median of box plot B. 8) Compare the medians and ranges of box plot A and box plot B. Write your answer as a complete sentence comparison statement and justify your response. A) B) The median of box plot A is higher than the median of box plot B. Box plot B’s data is more spread out. 9) Compare the ranges of the middle half of the data for each above and justify your answer. Box plot A: middle half range = 13-10 = 3 Box plot B: middle half range = 12.5 – 9.5 = 3