Example 1: Describe Changes in Data Example 2: Changes in Data

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Presentation transcript:

Example 1: Describe Changes in Data Example 2: Changes in Data Main Idea Example 1: Describe Changes in Data Example 2: Changes in Data Lesson Menu

Determine and describe how changes in data values impact measures of central tendency. Main Idea/Vocabulary

Describe Changes in Data FAMILIES The ages of the children in Mariel’s family are 15, 11, 5, and 5 years. Describe how the mean, median, and mode of the ages will change if Mariel’s parents adopt a 4-year-old child. Calculate each measure without and with the age of the 4-year-old. Mean including the 4-year-old without the 4-year-old Example 1

Describe Changes in Data Median 5, 5, 11, 15 4, 5, 5, 11, 15 Mode 5 5 Answer: The mean will decrease from 9 to 8. The median will decrease from 8 to 5. The mode of 5 will stay the same. Example 1

A. The mean and median will increase. The mode will stay the same. FINANCE Hannah earned following amounts babysitting: $22, $24, $20, and $24. Describe how the mean, median, and mode will change if she earns $38 the next time she babysits. A. The mean and median will increase. The mode will stay the same. B. The mean will increase. The median and the mode will stay the same. C. The mean, median, and mode will increase. D. The mean, median, and mode will stay the same. Example 1 CYP

Changes in Data SPORTS The stem-and-leaf plot shows the points scored by members of the girls’ basketball team in a recent game. The least point total is for a girl who played only 3 minutes. Which measure of central tendency will change the most if the lowest score is eliminated? Example 2

Calculate each measure without and with the lowest score. Changes in Data Calculate each measure without and with the lowest score. Mean without the lowest score with the lowest score Median 8 8.5 Mode none none Answer: If the lowest score is eliminated, the mean changes the most. Example 2

ROLLER COASTERS The stem-and-leaf plot shows the wait times of different roller coasters at an amusement park. Which measure of central tendency will change the most if the greatest wait time is eliminated? A. mean B. median C. mode D. mean and median Example 2 CYP