Calculate mean deviation about median from the following data 
340,150,210,240,300,310,320

To calculate the mean deviation about the median, follow these steps:

### Step 1: Arrange the data in ascending order.
The given dataTo calculate the mean deviation about the median, follow these steps:

### Step 1: Arrange the data in ascending order.
The given   
340, 150, 210, 240, 300, 310, 320

Ordered dataTo calculate the mean deviation about the median, follow these steps:

### Step 1: Arrange the data in ascending order.
The given   
340, 150, 210, 240, 300, 310, 320

Ordered   
150, 210, 240, 300, 310, 320, 340

### Step 2: Find the median.
Since there are 7 data points, the median is the 4th value in the ordered data set.  
Median = 300

### Step 3: Calculate the absolute deviations from the median.
For each value in the dataset, calculate the absolute deviation from the median (300):

- |150 - 300| = 150
- |210 - 300| = 90
- |240 - 300| = 60
- |300 - 300| = 0
- |310 - 300| = 10
- |320 - 300| = 20
- |340 - 300| = 40

### Step 4: Calculate the mean of these absolute deviations.
Mean deviation about the median is the average of the absolute deviations.

\[
\text{Mean Deviation} = \frac{150 + 90 + 60 + 0 + 10 + 20 + 40}{7}
\]
\[
\text{Mean Deviation} = \frac{370}{7} = 52.86
\]

### Final Answer:  
The mean deviation about the median is approximately **52.86**.

Would you like more details or further clarification?

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Here are five related questions you might explore:

1. What is the difference between the mean and median in a dataset?
2. How do you calculate the median in a dataset with an even number of observations?
3. What is the difference between mean deviation about mean and about median?
4. How does mean deviation help in understanding data dispersion?
5. What are some other measures of dispersion besides mean deviation?

**Tip:** The median is less sensitive to extreme values (outliers) compared to the mean, which makes it a good measure of central tendency for skewed data.

Calculate mean deviation about median from the following data 340,150,210,240,300,310,320

Learn how to calculate the mean deviation about the median for the data set 340, 150, 210, 240, 300, 310, 320. Follow a step-by-step solution that includes arranging the data, finding the median, calculating absolute deviations, and averaging them to find the final answer.

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