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 noahs scores. noahs scores: 84, 85, 85, 86, 90, 92 mean: 87 range: 92 - 84 = 8 gabriels scores: 82, 85, 86, 86, 90, 94 mean: 87.17 range: 94 - 82 = 12 mad: 3.22 what is noahs mean absolute deviation? \\(\frac{|87 - 84|+(2)|87 - 85|+|87 - 86|+|87 - 90|+|87 - 92|}{6}\\) \\(=\frac{3 + 4 + 1 + 3 + 5}{6}\\) 1.33 2 2.67 3.5

Explanation:

Step1: Calculate absolute deviations

$|87 - 84|=3$, $|87 - 85| = 2$ (and there are two 85s, so total contribution is $2\times2 = 4$), $|87 - 86|=1$, $|87 - 90| = 3$, $|87 - 92|=5$

Step2: Sum absolute deviations

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

Step3: Divide by number of data - points

$\frac{16}{6}\approx2.67$

Answer:

2.67