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A child says that the median of 3, 14, 18, 20, 5 is 18. What doesn’t the child understand about finding the median?

 

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Answer: The child has not arranged the data in ascending order before finding the median

To calculate the median, arrange the given data in ascending order and then find the middle term. This middle term is called the median.

Firstly, we will arrange the given data in ascending order as,

3, 5, 14, 18, 20.

Total number of terms = 5( odd )

\text{Middle term }=( \frac{n+1}{2})^{th}\ \text{term}                            

(where n is the number of terms)

\text{Middle term}=( \frac{5+1}{2} )^{th}\text { term = 3rd term =14}

So the median is not 18

The child has not arranged the data in ascending order before finding the median.

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