Question

find the median of 12 , 17,15,28,32,21​

Answer 1

Answer:

median = mid term

= (15+28)/2

= 43/2

= 21.5

Answer 2

Solution:-

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

⇝ Here, the question has asked us to find the median of the data that is 12, 17, 15, 28, 32, 21. Now, the question has asked us to find out the median.

☆ HOW TO DO

⇝ 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. If the number of terms is even then we will apply (n/2)+1th formula.

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ANSWER:-

» The median is 21.

GIVEN:-

✪ Data = 12, 17, 15, 28, 32, 21

TO FIND:-

• Here we have to find Median of the given data.

SOLVING STEP BY STEP:-

• First of all arrange the data in ascending order.
• Then count the no. of observations.
• Apply by solving the formula.

We know that:-

$\purple{\bigstar} \: \underline{\boxed{\tt{Median = \bigg(\dfrac{n}{2} \bigg)+1th}}}$

Where,

• n = number of observations

Here,

• n = 6

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So, let's solve it!

• Finding the median:-

✪ Data = 12, 17, 15, 28, 32, 21

⟶ Arrange in ascending = 12, 15, 17, 21, 28, 32

⟶ No. of terms in data = 6 terms

⟶ N = 6

${ \dashrightarrow \tt{Median = \bigg(\dfrac{6}{2} \bigg)+1th}}$

$\dashrightarrow \tt{Cancelling \: the \: terms.}$

${ \dashrightarrow \tt{Median = \bigg( \dfrac{ \not6}{ \not2} \bigg)+1th}}$

${ \dashrightarrow \tt{Median = \bigg( \dfrac{3}{1} \bigg)+1th}}$

${ \dashrightarrow \tt{Median = \big(3 \big)+1th}}$

${ \dashrightarrow \tt{Median = 3 +1th}}$

${ \dashrightarrow \tt{Median = 3 +1th = 4th}}$

$\blue{\odot} \: \overline{\boxed{\tt \red{Median = 4th}}}$

⟶ Median = 4th term

⟶ Median = 21 [As 21 is the 4th term]

Thus, we got the median. The 4th term that is 21 is the median of the data.

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KNOW MORE:-

• The formula used above is used when data is not given in form of a table.

1. The Formula of median when the data is given in tables or frequencies.
2. If n is odd then (n+1)/2th term will be median.
3. 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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