The mean deviation of the number 3, 4, 5, 6, 7 from median is

Options

A. 0
B. 1.2
C. 5
D. 25

Answer

To find the mean deviation of the numbers 3, 4, 5, 6, 7 from the median, we can follow these steps:

### Step 1: Identify the Data
The given numbers are:
3, 4, 5, 6, 7

### Step 2: Calculate the Median
To find the median, we first need to arrange the numbers in ascending order (which they already are). Since there are 5 numbers (an odd count), the median is the middle number.

\[ \text{Median} = \text{3rd term} = 5 \]

### Step 3: Calculate the Deviations from the Median
Next, we calculate the absolute deviations of each number from the median (5):

- Deviation for 3: |3 - 5| = 2
- Deviation for 4: |4 - 5| = 1
- Deviation for 5: |5 - 5| = 0
- Deviation for 6: |6 - 5| = 1
- Deviation for 7: |7 - 5| = 2

### Step 4: Sum of the Deviations
Now, we sum all the absolute deviations:

\[ \text{Total Deviation} = 2 + 1 + 0 + 1 + 2 = 6 \]

### Step 5: Calculate the Mean Deviation
To find the mean deviation, we divide the total deviation by the number of observations (which is 5):

\[ \text{Mean Deviation} = \frac{\text{Total Deviation}}{\text{Number of Terms}} = \frac{6}{5} = 1.2 \]

### Conclusion
Thus, the mean deviation of the numbers 3, 4, 5, 6, 7 from the median is:

\[ \text{Mean Deviation} = 1.2 \]