the ages of seven students in ms. browns math class are 12, 12, 14, 14, 13, 13, and 15. what is the mean…

the ages of seven students in ms. browns math class are 12, 12, 14, 14, 13, 13, and 15. what is the mean absolute deviation of the ages of the students? provide an answer accurate to the nearest hundredth. (note: answers will be accepted within .03 of gmms expected answer to account for variations in rounding during the solving process.)

the ages of seven students in ms. browns math class are 12, 12, 14, 14, 13, 13, and 15. what is the mean absolute deviation of the ages of the students? provide an answer accurate to the nearest hundredth. (note: answers will be accepted within .03 of gmms expected answer to account for variations in rounding during the solving process.)

Answer

Answer:

$1.00$

Explanation:

Step1: Calculate the mean

$\bar{x}=\frac{12 + 12+14+14+13+13+15}{7}=\frac{93}{7}\approx13.29$

Step2: Calculate the absolute - deviations

$|12 - 13.29| = 1.29$, $|12 - 13.29| = 1.29$, $|14 - 13.29| = 0.71$, $|14 - 13.29| = 0.71$, $|13 - 13.29| = 0.29$, $|13 - 13.29| = 0.29$, $|15 - 13.29| = 1.71$

Step3: Calculate the mean of the absolute - deviations

$MAD=\frac{1.29+1.29 + 0.71+0.71+0.29+0.29+1.71}{7}=\frac{6.9}{7}\approx0.99\approx1.00$