Question

7. Find the median of the values 30,13,19,25,21,9 and 35
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Answer 1

Answer:

25 as it is in the middle of all the numbers

Answer 2

★ How to do :-

Here, we are given with seven observations in which we are asked to find the median of those values. We know that the median is the middle value of any data, but the condition is that the data should be arranged in ascending or descending order. We have two methods to solve this problem i.e, to find the median of the data. We will solve both methods here. One is we solve the problem by using a specific formula. The other is we find logically. So, let's solve!!

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➤ Solution :-

Ascending order :-

${\tt \leadsto 9, 13, 19, 21, 25, 30, 35}$

Method 1 :-

${\tt \leadsto \underline{\boxed{\tt \dfrac{n + 1}{2} \: \: th term}}}$

Substitute the value of n.

${\tt \leadsto \dfrac{7 + 1}{2}}$

Add the values in the numerator.

${\tt \leadsto \dfrac{8}{2}}$

Simplify the obtained fraction.

${\tt \leadsto 4th \: \: term}$

Here, we can see that the 4th observation is 21. So,

${\sf \leadsto \pink{\underline{\boxed{\sf Median = 21}}}}$

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Method 2 :-

Ascending order :-

${\tt \leadsto 9, 13, 19, 21, 25, 30, 35}$

Cancel each number from both sides.

${\tt \leadsto \cancel{9} , \cancel{13} , \cancel{19} , 21, \cancel{25} , \cancel{30} , \cancel{35}}$

Here, we can see that the left over number is 21. So,

${\sf \leadsto \pink{\underline{\boxed{\sf Median = 21}}}}$

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$\dashrightarrow$ More formulas :-

${\sf \to {Median}_{(Even \: observations)} = \dfrac{n}{2} + 1 \: \: th \: \: term}$

${\sf \to {Median}_{(Odd \: observations)} = \dfrac{n + 1}{2} \: \: th \: \: term}$