QUESTION IMAGE
Question
the means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below.
| means and mean absolute deviations of rainfall last week and this week | ||
|---|---|---|
| mean | 19.7 cm | 19.3 cm |
| mean absolute deviation | 4.6 cm | 5.2 cm |
the difference in the mean rainfall is approximately what percent of the mean absolute deviation of the this weeks rainfall?
8%
23%
27%
67%
Step1: Calculate the difference in mean rainfall
$|19.7 - 19.3|= 0.4$
Step2: Calculate the percentage
The formula for percentage is $\frac{\text{difference}}{\text{mean absolute deviation of this - week}}\times100\%$. So, $\frac{0.4}{5.2}\times 100\%=\frac{40}{5.2}\% \approx 7.69\% \approx 8\%$
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