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Median

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Question

Give the formula for calculating the median of ungrouped data.

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Solution

Arrange the ungrouped data in ascending order. Then count the number of data. Let the number of data is N
If N is odd, then median = $(\frac{N + 1}{2})$ th term

If N is even, then median = average of $(\frac{N}{2})$ th term and $(\frac{N}{2}) + 1$ th term

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Q. Question 01.
The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement ? Give reason.

Q. Find the mean deviation from the median for the following ungrouped data

20, 25, 30, 18, 15, 40

Find the median of the following ungrouped data
1,3,9,5,3,7,9,2,6,9,5,3

Q. Arithmetic mean for ungrouped data can be calculated by ________.

Q. Formula for calculating median of grouped data is:

l + [\frac{\frac{n}{2} - c f}{f}] \times h

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