Question

question 22
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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 median of the data.
o a. r1 873
o b. r1 205
o c. r1 815
o d. none of these
o e. r1 500

Explanation:

Step1: Sort the data

Sort the weekly incomes in ascending order: \(R900, R1105, R1205, R1205, R1500, R2130, R2400, R2605, R2675, R3000\)

Step2: Find the median

Since \(n = 10\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values.
\(\frac{n}{2}=\frac{10}{2} = 5\) and \(\frac{n}{2}+1=6\)
The 5th value is \(R1500\) and the 6th value is \(R2130\)
Median\(=\frac{1500 + 2130}{2}=\frac{3630}{2}=R1815\)

Answer:

C. R1 815