Question

what is the median of 7, 10, 6, 5, 9?​

Answer 1

5+1/2=3
Arrange number in ascending order
5,6,7,9,10
Median=7

Answer 2

Solution:-

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⇝ Here, the question has asked us to find the median of the data that is 7, 10, 6, 5, 9. So, to find the median we will apply the formula of median. Arrange the data in ascending or descending order. There are 5 terms in the data as 5 is an odd number we will apply (n+1)/2th formula.

ANSWER:-

» The median is 7.

GIVEN:-

✪ Data = 7, 10, 6, 5, 9

TO FIND:-

➤ Median of data = ?

FORMULA USED:-

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

SOLVING STEP BY STEP:-

✪ Data = 7, 10, 6, 5, 9

⟶ Arrange in ascending = 5, 6, 7, 9, 10

⟶ No. of terms in data = 5 terms

⟶ N = 5

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

$\mapsto{\sf Median =\dfrac{5 + 1}{2}th}$

$\mapsto{\sf Median = \dfrac{6}{2}th}$

$\mapsto{\sf Median = \dfrac {\not{6}}{ \not{2}}th}$

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

$\mapsto{\sf Median = 3}$

⟶ Median = 3rd term

⟶ Median = 7 [As 7 is the 3rd term]

Thus, we got the median. The 3rd term that is 7 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.

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