Question

Find the median of the values 15, 10, 18, 25, 20, 30​

Answer 1

Step-by-step explanation:

Median means middle term.

Step 1, arrange in ascending order:-

10, 15, 18, 20, 25

Step 2, take out the middle term

from 10, 15, 18, 20, 25, 18 is the middle term (ans)

Answer 2

Solution:-

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\leadsto$Here, the question has asked us to find the median of the data that is 15, 10, 18, 25, 20, 30. So, to find the median we will apply the formula of median. Arrange the data in ascending or descending order. There are 6 terms in the data as six is an even number we will apply (n/2)+1th formula.

ANSWER:-

» The median is 20.

GIVEN:-

✪ Data = 15, 10, 18, 25, 20, 30

TO FIND:-

➤ Median of data = ?

FORMULA USED:-

$\to{\bf Median = \bigg( \dfrac{N}{2} \bigg)+ 1th}$

SOLVING STEP BY STEP:-

✪ Data = 15, 10, 18, 25, 20, 30

⟶ Arrange in ascending = 10, 15, 18, 20, 25, 30

⟶ No. of terms in data = 6 terms

⟶ N = 6

$\to{\tt Median = \bigg( \dfrac{N}{2} \bigg)+ 1th}$

$\mapsto{\sf Median = \bigg( \dfrac{6}{2} \bigg)+ 1th}$

$\mapsto{\sf Median = \bigg(\dfrac{ \not{6}}{ \not{2}}\bigg)+ 1th}$

$\mapsto{\sf Median = \bigg(\dfrac{3}{1}\bigg)+ 1th}$

$\mapsto{\sf Median = 3 + 1th}$

$\mapsto{\sf Median = 3 + 1th = 4th}$

$\mapsto{\sf Median = 4th}$

⟶ Median = 4th term

⟶ Median = 20 [As 20 is the 4th term]

Thus, we got the median. The 4th term that is 20 is the median of the data.

KNOW MORE:-

• The formula used above is used when data is not given in form of a table.
• The Formula of median when the data is given in tables or frequencies.
• If n is odd then (n+1)/2th term will be median.
• If n is even then average of middle two terms which are n/2th term and (n/2)+1th term is median.

━━━━━━━━━━━━━━━━━━━━━━━━━━