Question

A child says that the median of $3,14,18,20,5\,\,is\,18.$ What concept does the child miss about finding the median?
A.The order of numbers.
B.$14$
C.$18$
D.None of these.

Answer 1

Hint: Let us understand about median. The median is the value that separates the upper and lower halves of a data sample, a population, or a probability distribution in statistics and probability theory. It's sometimes referred to as "the middle" value in a data set.

Complete step-by-step answer:
In comparison to the mean (sometimes simply referred to as "average"), the median has the advantage of not being distorted by a tiny number of exceptionally big or small values, and thus provides a better depiction of a "typical" value. Because income distribution can be quite skewed, median income, for example, may be a better method to illustrate what a "normal" income is. The median is critical in robust statistics because it is the most resistant statistic, with a breakdown point of \[50\% \;\] the median is not an arbitrarily large or small result as long as no more than half of the data is tainted.
Because the youngster claims the median of \[3,{\text{ }}14,{\text{ }}18,{\text{ }}20,{\text{ }}5{\text{ }}is{\text{ }}18\], it's evident that the child doesn't comprehend that the data should be organized in ascending or descending order before obtaining the middle word, i.e. median.
Once the child understands the concept,
We get, by arranging the provided data in ascending order,
$3,5,14,18,20$
Hence the median is: $14$
So, option (B) is correct.
So, the correct answer is “Option B”.

Note: For any ordered (one-dimensional) data, the median is well-defined and independent of any distance metric. When drawing out a median grade when students are rated from A to F, the median can be used to rank but not numerical classes, albeit the outcome may be halfway between classes if there are an even number of cases.