“Day E” April 22, 2019 7:51 - 8:51 Math 8:53 - 9:53 Science 7:51 - 8:51 Math 8:53 - 9:53 Science 9:55 - 10:55 Exploratory 10:57 -11:27 11:29-11:59 12:01-12:31 Social Studies LUNCH (2nd Lunch) 12:33 - 1:33 English 1:35 - 2:35

Do now: Take out H.W. and leave on desk. Determine the median of the following data set: 7, 5, 11, 6, 8, 12, 2, 18, 23, 37. Record your answer on your sheet. 2, 5, 6, 7, 8, 11, 12, 18, 23, 37 (8 + 11)/2 19/2 =9.5

Objective: I will be able to: Summarize numerical data sets in relation to their context, such as by: Giving quantitative measures of center (median) and variability (interquartile range), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. So that I can learn how to calculate the median of the data and the interquartile range to describe the variability in the data. I will show that I understood it by successfully calculating the median of one real world problem and calculating the interquartile range of 1 real world problem independently or with my partner with at least 80% accuracy. 6.SP. A.2 6.SP. A.3 6.SP. A.4 6.SP. A.5

Vocabulary: Median Range interquartile range (IQR) Quartile data values Center Least Greatest

Describing the Center of Distribution Using the Median Sometimes it is useful to know what point separates a data distribution into two equal parts, where one part represents the upper half of the data values and the other part represents the lower half of the data values. This point is called the median. When the data are arranged in order from smallest to largest, the same number of values will be above the median point as below the median point.

Median in the real world Each student will receive an index card that has a data value that represent a student’s average for term 3. How many data values are represented in our data? Let’s organize our data from least to greatest. We will need to find the middle of the number.

You try…Pg. 77 There are 28 data values on the dot plot. There should be 𝟏4 data values above the median and 𝟏4 data values below the median because the median represents the middle value in a sorted data set. The median of the dot plot is 82.5 d. What does this information tell us about the data? The median tells us half of the students in the class scored below an 82.5 on the science test, and the other half of the students scored above an 82.5 on the science test.

Pg. 78 The median would not change because there would still be 𝟏4 scores below 82.5 and 𝟏4 scores above 82.5 The median would change because now there would be 𝟏3 scores below 82.5 and 𝟏5 scores above 82.5, so 82.5 would not be the median.

Lower quartile (Q1): the median of the bottom half of the data Notes Interquartile range (IQR): the difference between the medians of the two halves Lower quartile (Q1): the median of the bottom half of the data Upper quartile (Q3): the median of the top half of the data

https://www.youtube.com/watch?v=NIhELmGSqM8

2. find the median of the data Notes To find the IQR: 1. order the data 2. find the median of the data 3. find the median of the bottom half of the data (lower quartile) and the median of the upper half of the data (upper quartile) 4. The IQR is the difference between the upper and lower quartiles.

Notes The IQR is the length of the interval that includes the middle half of the data. The median and the two quartiles divide the data into four sections with about ¼ of the data in each section. Two of the sections are between the quartiles, so the interval between the quartiles would contain about 50% of the data.

Go to pg. 87 Ex. 1 Independently complete parts a-c. 1; 17 1, 1, 3, 4, 6, 6, 7, 8, 10, 11, 11, 12, 15, 15, 17, 17, 17 1; 17 1, 1, 3, 4, 6, 6, 7, 8, 10, 11, 11, 12, 15, 15, 17, 17, 17

How do you feel? topic.

I need to go to the Quartiles and Interquartile Range handout

I can use my examples to help! Homework: Unit 8, Lesson 15: Quartiles and Interquartile Range

Exit Ticket

Accommodations Read or reread presentation or activity directions, as needed or after prompting Use examples to model and act as a guide for emerging learners