Standard Deviation 10/8/2015 Statistics Mr. DeOms SWBAT analyze and calculate the standard deviation of small data sets. SWBAT build community and understanding by sharing images of self.

Calculate the mean, median, and the range for each of the restaurants below!

What is a major problem with using just mean, median, and range to describe a set of data? 15.11 15 11 15.11 15 11

Summation Notation

𝑖=0 3 𝑥 𝑖 = 𝑥 0 + 𝑥 1 + 𝑥 2 + 𝑥 3 𝑖=0 3 𝑥 𝑖 =7+6+5+4 𝑖 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 𝑥 𝑖 -1 𝑖=0 3 𝑥 𝑖 = 𝑥 0 + 𝑥 1 + 𝑥 2 + 𝑥 3 𝑖=0 3 𝑥 𝑖 =7+6+5+4 𝑖=0 3 𝑥 𝑖 =22

𝑖=2 4 𝑥 𝑖 = 𝑥 2 + 𝑥 3 + 𝑥 4 𝑖=2 4 𝑥 𝑖 = 5+4+3 12 𝑖 1 2 3 4 5 6 7 8 𝑥 𝑖 1 2 3 4 5 6 7 8 𝑥 𝑖 -1 𝑖=2 4 𝑥 𝑖 = 𝑥 2 + 𝑥 3 + 𝑥 4 𝑖=2 4 𝑥 𝑖 = 𝑖=2 4 𝑥 𝑖 = 5+4+3 12

𝑖 1 2 3 4 5 6 7 8 𝑥 𝑖 -1 𝑖=5 6 3𝑥 𝑖 =

𝑖 1 2 3 4 5 6 7 8 𝑥 𝑖 -1 𝑖=4 7 2 (𝑥 𝑖 ) 2 3 =

Frequency Distributions Data Displays F - Box and Whiskers Quiz HW.13 Due Th - Standard Deviation T - Z-Scores Th - Excel Skills M – Review Problem Set 2.2 Due W - Unit 2 Test

Read the first page (front and back) Silent Read (5 min) Read the first page (front and back) - Circle or highlight important information as your read - Write your own questions and ideas as you read

The two distributions shown above have the exact same ____________, but they have very different _________________ ________________. The smaller the standard deviation, the ____________ the scores are on average to the mean. The larger the standard deviation, the _____________ the scores are on average to the mean.   The standard deviation is the average __________________ from the ____________.

Homework Due NEXT Monday (10/19): Problem Set 2.2