Question

Find the median of the following data 11,39,43,45,25,46,43,42,37

Answer 1

Answer:

Step-by-step explanation:

to find the median of any question first arrange all the numbers in ascending or descending order (increasing or decreasing)

I am doing in ascending order:

11<25<37<39<42<43<43<45<46

now find the middle number through this order

it is 42

so the median is 42

Annyeong!!!

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Answer 2

Given: Observations.

To find: The median.

Answer:

Observations: 11, 39, 43, 45, 25, 46, 43, 42 and 37.

Before finding the median, it's important to note that the observations must be arranged in order of ascendance.

Observations (in order of ascendance): 11, 25, 37, 39, 42, 43, 43, 45, and 46.

Formula to find the median:

$\tt When\ n\ (the\ number\ of\ observations)\ is\ an\ odd\ number,\\\\\\Median\ =\ \dfrac{n\ +\ 1}{2}\\\\\\When\ n\ is\ an\ even\ number,\\\\\\Median\ =\ \dfrac{\bigg[\bigg(\dfrac{n}{2}\bigg)\ +\ \bigg(\dfrac{n\ +\ 1}{2}\bigg)\bigg]}{2}$

Since n is an odd number (9), the first formula will be used.

$\tt Median\ =\ \dfrac{n\ +\ 1}{2}\\\\\\Median\ =\ \dfrac{9\ +\ 1}{2}\\\\\\Median\ =\ \dfrac{10}{2}\\\\\\Median\ =\ 5^t^h\ term\\\\\\Median\ =\ 42$

Therefore, the median is 42.