Question 1161042: The distribution of the annual incomes of a group of middle -management employees
at Ulimbe Logistics approximates a normal distribution with a mean of K37,200 and a
standard deviation of K800
i. About 95 percent of incomes lie between what two amounts (3marks)
ii. What are the medium and modal incomes?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! 95% are between +/- 1.96 sd or 1.96*800=1568
so between K35632 and K 38768
The median income cannot be stated with this information. With a normal distribution, the median would be the same as the mean, in all likelihood, but there could be slight asymmetries where there would be other answers. After all, the question says "approximates", which leaves room for other possible distributions that approximated normal but which could give a slightly different median and mode even with the mean and sd shown above.
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