The forecast developed for weeks $2$ through $10$ using exponential smoothing with alpha $=0\mathrm{.}50$ and a week $1$ initial forecast of $20\mathrm{.}0$are:

Week

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

Demand

$20$

$21$

$28$

$37$

$25$

$29$

$36$

$22$

$25$

$28$

Forecast

$20\mathrm{.}0$

$20\mathrm{.}00$

$20\mathrm{.}50$

$24\mathrm{.}25$

$30\mathrm{.}63$

$27\mathrm{.}82$

$28\mathrm{.}41$

$32\mathrm{.}21$

$27\mathrm{.}11$

$26\mathrm{.}06$

Mean absolute deviation is the average of$$ "absolute error." Based on the given$$ information, the total absolute error for this developed forecast$=$

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