Find the median of the given data:

7, 4, 9, 4, 2, 5, 1, 3, 8, 9, 3

  1. 7
  2. 5
  3. 4
  4. 3

Answer (Detailed Solution Below)

Option 3 : 4
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Detailed Solution

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Given:

The given data is 7, 4, 9, 4, 2, 5, 1, 3, 8, 9, 3

Formula Used:

Median of odd number of items = {(n + 1)/2}th item,

when all the items are arranged in increasing or decreasing order

OR 

Median of odd number of items = Middle item when all the items are arranged in increasing or decreasing order

where,

n = Number of items 

Calculation:

Here, We get the following order when the given items are arranged in ascending order,

1, 2, 3, 3, 4, 4, 5, 7, 8, 9, 9

So, Median of the given data = {(n + 1)/2}th item

⇒ {(11 + 1)/2}th item

⇒ 6th item

⇒ 4

∴ The median of the given data is 4.

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