I have a question regarding Average , Weighted Average , Median and Mode. There was a question that said -

Three numbers have a range of 2 and median of 4.4.

Quantity A- The greatest of numbers

Quantity B- 5.4

How do I solve this?

I have a question regarding Average , Weighted Average , Median and Mode. There was a question that said -

Three numbers have a range of 2 and median of 4.4.

Quantity A- The greatest of numbers

Quantity B- 5.4

How do I solve this?

Let’s call the numbers a,b,c (where a≤b≤c). Range is 2, so we have c-a=2. b is the median so b=4.4. Greatest is c which can be written as c=2+a. So to get the largest value of c, we need to get the largest value of a. But the catch is, since b is the median, a can only be as large as b. so the maximum a can be at a=4.4. Now calculate C

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Thank you so much!