ANALYING CENTRAL MEASURES OF TENDENCY

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MEASURES OF CENTRAL TENDENCY Measures of central tendency try to describe what we refer to as the center of the data.
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ANALYING CENTRAL MEASURES OF TENDENCY An employer states that “The mean salary for all employees at my software company is $300,000. I’ll hire you right out of high school, no college is needed. I’ll also give you a 5% cost of living pay increase each year. Would you like to come to work for my company?” What would you do?

ANALYING CENTRAL MEASURES OF TENDENCY She’s the CEO and design engineer with an annual salary of $1,000,000. Her mother is the CFO and salesperson making $740,000 annually. The company has a receptionist, secretary, maintenance engineer, and a packing specialist. Each earns $15,000 a year. Was the CEO dishonest with the?

ANALYING CENTRAL MEASURES OF TENDENCY ANALYZE THESE PROBLEMS (1) A student has six test grades in algebra. Her average is the median of her test grades. Create a set of data that is favorable to the student, and then create a set of data that is unfavorable to the student.

ANALYING CENTRAL MEASURES OF TENDENCY ANALYZE THESE PROBLEMS (2) At professional skating competitions, skaters are given scores ranging from 1 to 10 by ten judges. The high and the low scores are thrown out, and the skater then receives the mean of the other eight scores. Create a set of data that is favorable to the skater, and then create a set of data that is unfavorable to the skater.

ANALYING CENTRAL MEASURES OF TENDENCY ANALYZE THESE PROBLEMS (3) You own a small company with thirteen employees. You entice new employees by telling them that most of the people in your company make $100,000 a year. Create a set of data where using the mode is favorable to entry level employees. Create a set of data where using the mode is unfavorable to an entry level employee.

ANALYING CENTRAL MEASURES OF TENDENCY ANALYZE THESE PROBLEMS (4) The July 2002 median resale price of a home in Dallas, Texas was $130,800. The per capita income was $32,406. In San Antonio, the median resale price of a home was $151,100 with a per capita income of $22,500. Out on the coast, the median resale price of a home in San Francisco, California was $571,000 while the per capita income was $40,357. Use these statistics to answer the following questions.

ANALYING CENTRAL MEASURES OF TENDENCY ANALYZE THESE PROBLEMS (4) The July 2002 median resale price of a home in Dallas, Texas was $130,800. The per capita income was $32,406. In San Antonio, the median resale price of a home was $151,100 with a per capita income of $22,500. Out on the coast, the median resale price of a home in San Francisco, California was $571,000 while the per capita income was $40,357. Use these statistics to answer the following questions. (1) Use ONE of these cities to explain what the median resale price of a home means. (2) What is per capita income? (3) Choose a city to live BASED on the information above. State your reasons for choosing this city. (4) What generalizations can you make from this data? Do you think those generalizations will always be true? Explain why or why not.

SAMPLE QUIZ QUESTION #1

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SAMPLE QUIZ QUESTION #6

ANSWERS (1) B (2) A (3) C (4) C (5) C (6) B