How to find x if we know the median amount?

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Homework Help Overview

The problem involves finding the value of x in a set of numbers where the median is given as 4.8 liters. The context is statistics, specifically focusing on the concept of median in a data set.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of median and its properties, including its relation to the arrangement of numbers. There are attempts to clarify whether the median must be one of the data values or if it can be calculated as the average of two middle values in an even set.

Discussion Status

The discussion is exploring different interpretations of the median and its implications for the value of x. Participants are questioning assumptions about how the median is determined in a set with an even number of values.

Contextual Notes

There is a lack of clarity on the arrangement of the data set and how x influences the median. The original poster has not provided additional context or constraints regarding the problem.

milkyman
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Homework Statement


{3.2,4.6,5.8,2.4,x,5.7}
mediant amount is 4.8litres Find x ?

Homework Equations





The Attempt at a Solution


forgotten

Thxx
 
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In stats, i guess median is the central number when all numbers are arranged in increasing order ... not sure ... just a random guess

EDIT:

wiki says:

In probability theory and statistics, a median is described as the numerical value separating the higher half of a sample, a population, or a probability distribution, from the lower half.
 
I'm just guessing too, but I'd reckon the median has to be one of your data values, or if you have an even number of values, then it's midway between two.
 
NascentOxygen said:
... if you have an even number of values, then it's midway between two.
That is the key here.
 
Last edited:

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