Question

Find the median of the given data: 13, 16, 12, 14, 19, 12, 14, 13, 14.​

Answer 1

Answer:

14

Step-by-step explanation:

Ascending order

= 12,12,13,13,14,14,14,16,19

Hence, median = middle value = 14

Answer 2

Given: Set of observations.

To find: The median.

Answer:

Observations: 13, 16, 12, 14, 19, 12, 14, 13 and 14.​

Before finding the median, the data must be arranged in order of ascendance.

Observations (in order of ascendance): 12, 12, 13, 13, 14, 14, 14, 16 and 19.

Formula to find the median:

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

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

$\tt Median\ =\ \dfrac{9\ + \ 1}{2}\\\\\\Median\ =\ \dfrac{10}{2}\\\\\\Median\ =\ 5^t^h\ term\ =\ 14$

Therefore, the median is 14.