- #1

DODGEVIPER13

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## Homework Statement

The number 15 is added to each of the biggest 150 numbers in a distribution of 301 numbers in other words n=301

A. How does this addition affect the median of the distribution

B. how does this addition affect the mode of the distribution

C. How does this addition affect the mean of the distribution

## Homework Equations

## The Attempt at a Solution

Ok so for part a it will be no change if I consider numbers from 1 to 301 for simplicity since it could be random numbers. I will go 1-150 numbers on a line then add the middle number 151 and the another 150 numbers 152-301. There fore an addition of 15 to the top end won't effect the median. Mode is what I'm not sure about I know it is the number repeated the most but I can't see how this would be affected by the addition of 15 to higher numbers. I would assume it would decrease it? As for the mean obviously if you increase your higher numbers when you average it or take the mean it will be higher. More specifically 15(150)/301 to get the approximate amount it goes up by. So all I really need help on is mode.