Median of series 37.5, 35, 38.5, 31, 27, 39, 34, 30.5 is

Options

A. 31
B. 35
C. 34
D. `34.5`

Answer

To find the median of the series 37.5, 35, 38.5, 31, 27, 39, 34, 30.5, we will follow these steps:

### Step 1: Arrange the data in ascending order.
First, we need to sort the numbers from the smallest to the largest.

The given series is:
- 37.5
- 35
- 38.5
- 31
- 27
- 39
- 34
- 30.5

Arranging these numbers in ascending order, we get:
- 27, 30.5, 31, 34, 35, 37.5, 38.5, 39

### Step 2: Determine the number of observations.
Next, we count the total number of observations in the series.

In this case, there are 8 numbers.

### Step 3: Find the median.
Since the number of observations (n) is even (n = 8), the median is calculated by taking the average of the two middle numbers.

The two middle numbers in our ordered series are the 4th and 5th numbers:
- 4th number: 34
- 5th number: 35

Now, we calculate the median:
\[ \text{Median} = \frac{34 + 35}{2} = \frac{69}{2} = 34.5 \]

### Final Answer:
The median of the series is **34.5**.

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