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Question

Answer the following questions in detail−

From the following data calculate D1, D4 and D7

11, 15, 12, 16, 13, 17, 14, 18, 20, 19, 25.
21, 24, 22, 23, 29, 28, 25, 26.

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Solution

The given data is first arranged in ascending order as follows:
11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 28, 29
Now, we find the deciles in the following manner:

N=19D1=N+110th item =19+110=2nd item

Thus, D1=12 D4=4N+110th item =8th

Thus, D4=18 D7=7N+110th item =14th itemThus, D7=24

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