An analysis of the monthly incentives rec… | Answer

Subject

Bank Exam

Topic

Islami Bank Bangladesh Ltd. 2012 (PO)

ক)

$4,000

খ)

$13,000

গ)

$9,000

ঘ)

$ 11,000

The arithmetic mean of 5 observations is

7000. Therefore, the sum of these 5 observations is 5 * 7000 =

35,000. The median is

7000. Let us say their incentives in ascending order are a, b, c, d and e. So, c = 7000 and a + b + c + d + e =

35,000 The only mode is

12,000. So, the maximum number of observations among the 5 will be in

12,000. The only possibility is that both d and e got an incentive of

12,000 each. So, c + d + e = 7000 + 12000 + 12000 =

31,000 Therefore, a + b = 35,000 - 31,000 = 4000. a and b have to be two different values as the only mode is

12,000. So, a has to be

1000 and b has to be

3000. The difference between the highest and the lowest is therefore 12,000 - 1000 =

11,000

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