students in introductory chemistry are recording the masses of samples as part of a lab experiment. for 5…

students in introductory chemistry are recording the masses of samples as part of a lab experiment. for 5 samples, leroy has recorded these masses: 1 gram 2 grams 4 grams 6 grams 2 grams what is the mean absolute deviation of the masses? if the answer is a decimal, round it to the nearest tenth. mean absolute deviation (mad): grams

students in introductory chemistry are recording the masses of samples as part of a lab experiment. for 5 samples, leroy has recorded these masses: 1 gram 2 grams 4 grams 6 grams 2 grams what is the mean absolute deviation of the masses? if the answer is a decimal, round it to the nearest tenth. mean absolute deviation (mad): grams

Answer

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{1 + 2+4+6+2}{5}=\frac{15}{5}=3$ grams.

Step2: Calculate the absolute - deviations

$|1 - 3|=2$, $|2 - 3| = 1$, $|4 - 3|=1$, $|6 - 3|=3$, $|2 - 3| = 1$.

Step3: Calculate the mean of the absolute - deviations

The mean absolute deviation $MAD=\frac{2 + 1+1+3+1}{5}=\frac{8}{5}=1.6$ grams.

Answer:

$1.6$