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# Measures of Central Tendency

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### Measures of Central Tendency

1. 1. Determining Measures of Central Tendency Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions.
2. 2. Determining Measures of Central Tendency Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions.
3. 3. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. What is an average? A measure of central tendency is often called the average of a set of data. There are, however, various ways of calculating the “average” of a set of data. These include: Mean Mode Median
4. 4. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. Mean The mean is the sum of a set of numbers divided by the number of numbers in the set. On your first five consumer math tests, you received the following scores: 70%, 94%, 82%, 96%, 70% Find the mean score of your test results. Solution (70% + 94% + 82% + 96% + 70%) ÷ 5 = 82.4
5. 5. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. Mode The mode is the number which occurs most often in a set of numbers (if all values occur only once, there would be no mode). It is possible to have more than one mode. On your first five consumer math tests, you received the following scores: 70%, 94%, 82%, 96%, 70% Find the mode score of your test results. Solution 70%
6. 6. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. Median The median is the middle number of a set of data when the data are arranged in numerical order. On your first five consumer math tests, you received the following scores: 70%, 94%, 82%, 96%, 70% Find the median score of your test results. Solution 70% 70% 82% 94% 96%
7. 7. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. Example Problem Marcelo received the following test scores on his last six test: 80%, 84%, 62%, 96%, 80%, 75% Find the mean, mode, and median score for his test results.
8. 8. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. Example Problem Suppose Marcelo wrote a seventh test in which he got 100%. How would this test result change his mean, mode, and median?
9. 9. Textbook Assignment: Page 93 - 95 Questions 1 - 7 Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions.
10. 10. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. Adjusting Measures of Central Tendency A computer sales department consists of 3 levels. At each level, the annual salary for each employee is the same. Salaries are indicated in the table below. Find the mean, mode, and median for the annual salaries Level Number of Employees Annual Salary of Each Employee Managers 2 \$76 000 Technicians 3 \$40 000 Salespeople 5 \$28 000
11. 11. Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions. Adjusting Measures of Central Tendency Create a list of five numbers from 0 – 10 having the following characteristics: a) The mean is 6 b) The median is 7 c) The mode is 3
12. 12. Textbook Assignment: Page 100 - 101 Questions 1 - 5 Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions.
13. 13. Student Assignment: Unit 2 – Data Analysis & Interpretation Outcome 2-2: Use measures of central tendency to support decisions.
14. 14. Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Student Assignment #2