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question 39
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the weekly incomes of 10 workmen on a building site are: r900, r1500, r1205, r2605,
r1105, r3000, r1205, r2400, r2130, r2675.
calculate the mean of the data.
o a. r1 500
o b. r1 205
o c. r1 873
o d. none of these
o e. r1 815
:42:23
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Step1: Calculate the sum of the data
$$\begin{align*}
&900 + 1500+1205 + 2605+1105+3000+1205+2400+2130+2675\\
=&(900 + 1500)+(1205+2605)+(1105+3000)+(1205+2400)+(2130+2675)\\
=&2400+3810+4105+3605+4805\\
=&(2400+3810)+(4105+3605)+4805\\
=&6210+7710+4805\\
=&(6210 + 7710)+4805\\
=&13920+4805\\
=&18725
\end{align*}$$
Step2: Calculate the mean
The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 10$ (the number of data points) and $\sum_{i=1}^{n}x_{i}=18725$.
So, $\bar{x}=\frac{18725}{10}=1872.5$
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d. None of these