Grade 6
Grade 6
Statistics and Probability 6.SP.B.5.d
d. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.
Thanks to 6.SP.5c, we know that students can calculate mean, median, mean absolute deviation, and interquartile range. What we expect them to do here is decide when to use which measures. That's right. It's like a Choose Your Own Adventure book, only with less adventure and more statistics.
Students should understand that if a distribution is symmetric, the mean and mean absolute deviation are the best center-spread measure combo to use. When the data is skewed, the median and interquartile range are the center-spread pair of choice. No couple is better than another; that's like deciding between Stefan/Katherine and Stefan/Elena in The Vampire Diaries. Just like these vampiric duos, each of our center-spread pairs has its time and place.