An analysis of the monthly allowances received by a sample of five engineers from a telco company has been conducted recently. The mean and median of the allowances is RM7000. A unimodal among the observations is RM12,000. Find the standard deviation if the allowances paid to each engineer were in full thousands.
Mean=7000
Median=7000
Mode (one)=12000
n=5
Assume two unknown values are x and y.
Arranging in ascending order,
x, y, 7000, 12000, 12000
Mean = 7000
Also, as there is unimode...(ii)
Also, x, y are in thousands...(iii)
From (i), (ii), (iii)
Now, standard deviation
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