Median of the observatios 5, 7, 14, 12, 15, 17, 17, 5, 14, 7, 5 is a) 14 b)12 c)11.8 d) 7

Answer

To find the median of the given observations, we will follow these steps:

### Step 1: Arrange the observations in ascending order.
The given observations are: 5, 7, 14, 12, 15, 17, 17, 5, 14, 7, 5.

Arranging these in ascending order, we get:
5, 5, 5, 7, 7, 12, 14, 14, 15, 17, 17.

### Step 2: Count the total number of observations.
Now, we count the total number of observations (N):
- The observations are: 5, 5, 5, 7, 7, 12, 14, 14, 15, 17, 17.
- The total number of observations (N) = 11.

### Step 3: Determine if N is odd or even.
Since N = 11, which is odd, we will use the formula for finding the median in an odd set of numbers.

### Step 4: Calculate the position of the median.
The position of the median can be calculated using the formula:
\[ \text{Median Position} = \frac{N + 1}{2} \]
Substituting the value of N:
\[ \text{Median Position} = \frac{11 + 1}{2} = \frac{12}{2} = 6 \]

### Step 5: Find the median value.
Now, we need to find the 6th term in the arranged list:
The arranged list is: 5, 5, 5, 7, 7, 12, 14, 14, 15, 17, 17.
The 6th term is 12.

### Conclusion:
Thus, the median of the given observations is **12**.

### Final Answer:
b) 12

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