Write a one-word adjective that best describes the following: Measures of Central Tendency Write a one-word adjective that best describes the following: (1)Mean (2) Median (3)Mode (4)Range Mean, Median, and Mode

Measures of Central Tendency (1)Mean - AVERAGE (2) Median - MIDDLE (3)Mode - MOST (4)Range - DIFFERENCE Mean, Median, and Mode

COMMON CORE #43 Interpret differences in shape, center, and spread in the context of data sets, accounting for extreme data points.

Central Measures of Tendency Test scores in an Algebra class: 99, 85, 80, 25, 99, 100 What is the mean, median, mode and range? Mean, Median, and Mode Mean 81.3 Median 92 Mode 99 Range 75

Central Measures of Tendency Test scores in an Algebra class: 99, 85, 80, 25, 99, 100 Mean 81.3 Median 92 Mode 99 Range 75 Which measure of tendency best describes this data set? Explain your answer. I would say the median because 25 is an outlier that brings the mean way down. Mean, Median, and Mode

Central Measures of Tendency Test scores in an Algebra class: 99, 85, 80, 25, 99, 100 Mean 81.3 Median 92 Mode 99 Range 75 (2) If the mean changed to 78 because one more test was added to the data set, what would the 7th grade be? The answer is 58, 488 + x = 546 Mean, Median, and Mode

Central Measures of Tendency Test scores in an Algebra class: 99, 85, 80, 25, 99, 100 Mean 81.3 Median 92 Mode 99 Range 75 (3) If there were four more tests, what would the student need to average to get an A(90 or better) The answer is not possible as 488 + 400 would be 888/1000. Mean, Median, and Mode

Practice Problem Page 707, #42 We will check shortly Mean is 73 Median is 73 Mode is 71 Range is 11 Mean would drop by 0.25, Median would drop by 0.5, and the Mode and Range would not be affected

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. Ask the class if the employer was dishonest with them.

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 eleven 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.

Which measure of central tendency best describes this data?