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​What is the 50th percentile of the numbers 9, 5, 11, 3 and 2?​
Question

What is the 50th percentile of the numbers 9, 5, 11, 3 and 2?

A.

Five

B.

Six

C.

Nine

D.

Fifteen

Correct option is A

Explanation-

The 50th percentile is also called the median. The median is the middle number in a list when the numbers are arranged in order from smallest to largest.
Step 1: Arrange the numbers in ascending order
We are given:
9, 5, 11, 3, 2
Arranged in increasing order:
2, 3, 5, 9, 11

Step 2: Use the median formula
If the number of values (n) is odd, the median is given by:

                       Median=Value at the (n+12)th position\text{Median} = \text{Value at the } \left( \frac{n+1}{2} \right)^{\text{th}} \text{ position}

Step 3 : Apply the formula
               Here, n = 5 (number of elements)

Median=Value at the (5+12)=Value at the 3rd position\text{Median} = \text{Value at the } \left( \frac{5 + 1}{2} \right) = \text{Value at the } 3^{\text{rd}} \text{ position}

From the sorted list (2, 3, 5, 9, 11), the 3rd position value is:
                                                               Median = 5​​
Therefore:
The 50th percentile (median) is 5.
So, the correct answer is option a - Five 

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