Question

noah and gabriel have taken 6 quizzes in english class so far. there are no outliers in their quiz scores. find the measure of variability for noah’s scores. noah’s scores: 84, 85, 85, 86, 90, 92 mean: 87 range: 92 - 84 = 8 gabriel’s scores: 82, 85, 86, 86, 90, 94 mean: 87.17 range: 94 - 82 = 12 mad: 3.22 what is noah’s mean absolute deviation? \\(\frac{|87 - 84| + (2)|87 - 85| + |87 - 86| + |87 - 90| + |87 - 92|}{6}\\) \\(= \frac{3 + 4 + 1 + 3 + 5}{6}\\) \\(\bigcirc\\) 1.33 \\(\bigcirc\\) 2 \\(\bigcirc\\) 2.67 \\(\bigcirc\\) 3.5

Explanation:

Step1: Sum absolute differences

$3 + 4 + 1 + 3 + 5 = 16$

Step2: Divide by number of scores

$\frac{16}{6} \approx 2.67$

Answer:

2.67