120 likes | 223 Vues
Dive into the concepts of mean, mean absolute deviation, and quartiles through engaging number sets. Learn how to compute the mean of given data and understand measures of dispersion and the interquartile range. This guide includes step-by-step examples for calculating mean, median, and range, allowing you to practice with real data sets. Enhance your understanding of key vocabulary terms like upper and lower quartiles, and complete exercises that challenge your skills. Perfect for students and educators alike!
E N D
Warm - up • Find the mean of the following number sets. • 1. 2, 32, 6, 15, 12, 14 • 2. 6, 45, 78, 21, 17, 16 • 3. 7, 3, 1, 8, 4
Mean Absolute Deviation and Quartiles 6.7 and 6.8
Vocabulary • Measure of dispersion • A description of the dispersion or the spread of the data • Range • The difference between the greatest value and least value • Deviation from the mean • Is the difference of a data value and the mean of the data set
Mean absolute deviation • Is the average deviation of the data from the mean.
Find the mean absolute deviation • A) 9, 15, 28, 10, 8 • B) 32, 33, 22, 85, 58
More mean absolute deviation C. 24, 35, 18, 20, 17, 30 D) 116, 130, 120, 125, 140, 125
Now You Try • Find the mean absolute deviation • A) 105, 98, 95, 100, 95, 107 • B) 36, 39, 58, 42, 106, 39, 48, 45
Vocabulary • Quartile • the median of an ordered data set • Upper Quartile • the median of the upper half of an ordered set • Lower Quartile • the median of the lower half of an ordered set • Interquartile range • The difference of the upper quartile and lower quartile
Examples • Find the mean, median, range, and the interquartile range. • Data set 1: 102, 105, 108, 110, 112, 113 • Data set 2: 100, 103, 105, 106, 109, 113
Find the mean, median, range, and the interquartile range. • A) 4, 7, 14, 8, 9 • B) 85, 90, 76, 65, 92, 88
Now You Try • Find the mean, median, range, and the interquartile range. • A) 110, 145, 115, 124, 118, 129, 119 • B) 50, 55, 60, 58, 62, 57, 68, 51, 63
Homework • Page 365 numbers 9-14 all • Page 372 numbers 1 – 5 all