Statistics / Logic problem 10 points
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Statistics / Logic problem 10 points

[From: ] [author: ] [Date: 12-02-29] [Hit: ]
b is smaller than c and c = d.The mode of these four numbers is 11.The range of these four numbers is 8.The mean of these four numbers is 8.Calculate the value of each of the integers a,b,......
Let a,b, c and d be integers such that a is smaller than b, b is smaller than c and c = d.

The mode of these four numbers is 11.
The range of these four numbers is 8.
The mean of these four numbers is 8.
Calculate the value of each of the integers a,b,c,d

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We have a < b < c <= d, where c = d

The mode is the number that appears the most. Since c = d, they must have the value of 11.

The range is the largest number less the smallest number in a data set. The largest is 11, the smallest is a. So we have 11 - a = 8, and so a = 3.

The mean is the sum of the data divided by the number of data points. We have to solve
[a+b+c+d] / 4 = 8
[3+b+11+11] / 4 = 8
b = 8*4 - 2*11 - 3 = 7

So a=3, b=7, c=d=11
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