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Outliers. Do Now Bill Gates makes $100 thousand a year. He s in a room with 9 teachers, 4 of whom make $40k, 3 make $45k, and 2 make $55k a year. What.

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Presentation on theme: "Outliers. Do Now Bill Gates makes $100 thousand a year. He s in a room with 9 teachers, 4 of whom make $40k, 3 make $45k, and 2 make $55k a year. What."— Presentation transcript:

1 Outliers

2 Do Now Bill Gates makes $100 thousand a year. He s in a room with 9 teachers, 4 of whom make $40k, 3 make $45k, and 2 make $55k a year. What is the mean salary of everyone in the room? What would be the mean salary if Gates wasn t included? Mean With Gates: $50,500 Mean Without Gates: $45,000

3 Find the mean and median of the following set of numbers: Mean is 15 Median is 14

4 In a set of numbers, a number that is much LARGER or much SMALLER than the rest of the numbers is called an Outlier.

5 To find any outliers in a set of data, we need to find the 5 Number Summary of the data.

6 Find the 5 Number Summary of the following numbers: Step 1: Sort the numbers from lowest to highest Step 2: Identify the Median Step 3: Identify the Smallest and Largest numbers Step 4: Identify the Median between the smallest number and the Median for the entire set of data, and between that Median and the largest number in the set

7 These are the five numbers in the 5 Number Summary 3 - Smallest number in the set 9 - Median between the smallest number and the median 14 - Median of the entire set 17 - Median between the largest number and the median 40 - Largest number in the set

8 Find the 5 Number Summary for the following set of data: Median Smallest Largest Median

9 Find the 5 Number Summary for the following set of data: Median = 10.5 Smallest = 2 Largest = 21 Median = 5.5 Median =

10 A 5 Number Summary divides your data into four quarters st Quarter 2 nd Quarter 3 rd Quarter 4 th Quarter

11 The Lower Quartile (Q1) is the second number in the 5 Number Summary The Upper Quartile (Q3) is the fourth number in the 5 Number Summary 25% of all the numbers in the set are smaller than Q1 25% of all the numbers in the set are larger than Q3

12 What percent of all the numbers are between Q1 and Q3? 50% of all the numbers are between Q1 and Q3 This is called the Inter-Quartile Range (IQR) The size of the IQR is the distance between Q1 and Q = 8

13 IQR = 8 To determine if a number is an outlier, multiply the IQR by = 12 An outlier is any number that is 12 less than Q1 or 12 more than Q3

14 IQR = OUTLIER

15 Find the mean and median of the following set of numbers (no outliers): Mean is 15 Median is 14 Mean is Median is 13


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