Question

Find the median of 17,14,19,21,25 find the median

Answer 1

Answer:

Median of  $17,14,19,21,25$  is $19$ .

Step-by-step explanation:

To find : median of given data .

Given data : $17,14,19,21,25$

Solution:

• According to question we are asked to find median for the given data .  
• Median is the middle number of the the observation in a sorted, ascending or descending order.
• If first arrange given data in ascending order , i.e. from smallest to biggest number .
• Ascending order  : $14, 17 , 19, 21, 25$
• We know that if number of observations is odd, then number in the middle of observation list is the median.
• Also, we can find the value by taking the value of $\left(\frac{n+1}{2}\right)^{\text {th }}$ term, where $n$ is the number of observation.
• In ,$14, 17 , 19, 21, 25$,  n $= 5$
• Therefore on substituting values we get, $(\frac{5+1}{2}\right))^{t h} =\left(\frac{6}{2}\right)^{t h} =(3)^{t h}$
• Here, $3^{r d}$ term is $19$ . Hence, median is $19$ . Also we can directly write $19$as median as it is middle term.

Answer 2

Step 1-

Put all numbers in a order-
14,17,19,21,25

Step 2-
No. of observations =5

Step 3-

Middle term=5+1/2 or  3rd Observation

Now we know our 3rd observation is 19
Hence the 3rd observation = 19 is the MEDIAN

19 IS MEDIAN