MONDAY Box and Whisker

Box and Whisker Plots Objective: You will be able to… Find the mean, median, mode of a set of data Understand the difference between forms Use data to identify box and whisker plots SPI 0706.5.3 Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data.

Definitions average

Definitions Uses a number line to show the distribution of data Box and Whisker Plot Uses a number line to show the distribution of data Order the data least to greatest Divide the data into 4 sections (quartiles)

5 data points

Definitions Extremes lower extreme- minimum upper extreme- maximum lower upper

Definitions Quartiles (4 sections) Q3 Q1 Q2 upper quartile lower quartile divides the median of the lower half of the data Q2 median or middle quartile divides the data into a lower half and an upper half. Q3 upper quartile divides the median of the upper half of the data Lower Quartile Median Upper Quartile

Definitions IQR = upper – lower Q3 – Q1 Interquartile Range (IQR)- the difference between the upper quartile (Q3) and the lower quartile (Q1) IQR = upper – lower Q3 – Q1

Label the Parts of a Box-and-Whisker Plot Lower Quartile Median Upper Quartile Lower Extreme Upper Extreme

Box-and-Whisker Plot Practice There are 12 people are in a Habanera Pepper eating contest who ate the following amount of peppers: 4, 4, 4, 9, 15, 2, 5, 0, 10, 12, 1, 18 Put the numbers in order from least to greatest: 0, 1, 2, 4, 4, 4, 5, 9, 10, 12, 15, 18 BELOW THE MEDIAN (4.5) ABOVE THE MEDIAN (4.5) Discussion Question: Why are all of the Boxes and Whiskers different sizes?

Analyzing a Box-and-Whisker Plot _____% 25% 50%

Example 1 Analyze the two box-and-whisker plots. List three things that can be said about the data presented.

Example 2 The are 8 people at a school with their monthly salaries displayed below: Exactly 4 people earn $5,000 or more each month Exactly 5 people earn less than $5,000 each month Exactly 4 people earn $4,000 or less each month Exactly 5 people earn $4,000 or more each month

Example using Percents The box and Whisker plot shows that math grades of 100 students. What percent of the grades are between 68 and 78? What is the Lower Extreme? What is the Interquartile Range? What percent of students scored above 78? Which is true? Half of the grades are below 78 Half of the grades are between 68 and 78 The average grade is 78 There were more grades between 78 and 86 than between 67 and 68

Tuesday Bellwork Find the mean median and Mode: 2, 11, 15, 27, 22, 21, 22, 13, 4, 15, 22, 29

Review Game You will answer question on dry erase board When we go over the correct answer I will roll a set of dice If you get the question correct, you will add the points to your score If you get the question wrong, you will subtract the points Everyone will begin with 20 points At the end, the most points will win candy!

Question 1 Tommy is training to ride his bike in a race. He recorded the amount of miles he biked each day of the week 22, 13.25, 17.8, 11.5, 3, 10.2, 13.25 1.) What is the mean number of miles biked?

Question 2 Tommy is training to ride his bike in a race. He recorded the amount of miles he biked each day of the week 22, 13.25, 17.8, 11.5, 3, 10.2, 13.25 What is the mode of the miles biked?

Question 3 What is the median of the miles biked? Tommy is training to ride his bike in a race. He recorded the amount of miles he biked each day of the week 22, 13.25, 17.8, 11.5, 3, 10.2, 13.25 What is the median of the miles biked?

Question 4 Monica went shopping for new summer clothes. She purchased 7 shirts for a total of $105.00. She later bought another shirt for $13.25. What is the mean cost of all the new summer shirts? (Hint: she purchased 8 shirts)

Question 5 Wes found the mean and the median of the following list of numbers: 10, 10, 17 If the number 3 was added to the list, which of the following statements would be true? A. The mean would increase C. The median would increase B. The mean would decrease D. The median would decrease

Question 6 During the week, the daily high temperatures were 72⁰F, 75⁰F, 66⁰F, 75⁰F, 72⁰F. If Saturday's high temperature of 75⁰F is added, which statement about the data set would be true? A. The mean would decrease C. The mean would increase B. The median would decrease D. The mode would not change

Question 7 7.) The table below shows the number of students that play sports in 7th grade. Which number could be added to the set of data in order for the mode and median of the set to be equal? A. 20 B. 10 C. 15 D. 13 Classroom Students that play sports Mr. Martin 11 Mr. Davis 19 Mr. Cardonia 12 Mrs. Turner Mrs. LaBash ?

Question 8 What statement could NOT be proven from the box and whisker plot? A. The median score was 78 B. The lowest test score was 53 C. The mean was 78 D. The highest test score was 98

Question 9 The box and whisker plot shows the age of people in a class at Boston Community College. Which statement is correct? 50% of the people are between the ages 26 and 72 B. 25% of the people are between the age 26 and 49 C. 50% of the people are between the age 34 and 64 D. 75% of the people are under the age of 50

Question 10 A group of boys and girls were asked how many CDs they owned. They created a box and whisker plot of compare the results Which statement is true? A. The difference between the median number of CDs owned between boys and girls is 10 B. The difference in the median number of CDs owned between boys and girls is 4 C. The lowest amount of CDs owned by a girl is 6 D. The most CDs owned by boys is 39

Wednesday Clear your desk and prepare for the quiz

Thursday Bellwork

Egg Hunt There are multiple eggs hidden around the room You will find an egg and open it Take the egg back to your seat and solve the problem If you find an egg with a sticker, you win candy!!! We will review answers at the end of class