Find the median of 30,17,43,39,18,40 :

Options

A. 34.5
B. 30
C. 39
D. 43

Answer

To find the median of the numbers 30, 17, 43, 39, 18, and 40, follow these steps:

### Step 1: Arrange the numbers in ascending order
First, we need to arrange the given numbers in ascending order.

Given numbers: 30, 17, 43, 39, 18, 40

Arranging them:
17, 18, 30, 39, 40, 43

### Step 2: Determine the number of observations (n)
Next, we count how many numbers we have.

In this case, there are 6 numbers.

### Step 3: Use the median formula for an even number of observations
Since there are 6 numbers (an even count), we use the median formula for even numbers:

Median = (n/2)th term + ((n/2) + 1)th term / 2

Here, n = 6, so:

Median = (6/2)th term + ((6/2) + 1)th term / 2
Median = 3rd term + 4th term / 2

### Step 4: Identify the 3rd and 4th terms
From our arranged list:
1st term = 17
2nd term = 18
3rd term = 30
4th term = 39
5th term = 40
6th term = 43

So, the 3rd term is 30 and the 4th term is 39.

### Step 5: Calculate the median
Now we substitute the 3rd and 4th terms into the median formula:

Median = (30 + 39) / 2
Median = 69 / 2
Median = 34.5

### Final Answer
The median of the numbers 30, 17, 43, 39, 18, and 40 is **34.5**.

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