Calculate mean deviation about median of the following data Class interval 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 4 6 10 20 10 6 4​

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Answer:

The mean deviation about the median of the given data is 2.

Step-by-step explanation:

1. Start by arranging the data in ascending order.

2. Find the cumulative frequency for each class interval. This is the sum of the frequencies up to that interval.

3. Identify the class interval that contains the median. The median is the middle value when the data is arranged in ascending order.

4. Calculate the midpoint of the median class interval. This is the average of the lower and upper limits of the interval.

5. Find the absolute difference between each data point and the median. This is the absolute value of the difference between the data point and the midpoint of the median class interval.

6. Sum up all the absolute differences.

7. Divide the sum by the total frequency to find the mean deviation about the median.

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