Find the 60th percentile for the below data.

52, 55, 58, 61, 62, 63, 64, 72, 74, 76, 77, 80

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70.4

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Solution

The correct option is D 70.4
The given data is in the ascending order.

52, 55, 58, 61, 62, 63, 64, 72, 74, 76, 77, 80
Here, N=12
$60 t h p e r c e n t i l e, P_{60} = s i z e o f 60 (\frac{N + 1}{100}) t h o b s e r v a t i o n = s i z e o f 7.8 t h o b s e r v a t i o n$

Here, the 7th observation is 64 and the
8th observation is 72.
$∴ P_{60} = 64 + 0.8 \times (72 - 64) = 64 + 0.8 \times 8 = 70.4$

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Find the 60th percentile for the below data. 52, 55, 58, 61, 62, 63, 64, 72, 74, 76, 77, 80

Find the 60th percentile for the below data.

52, 55, 58, 61, 62, 63, 64, 72, 74, 76, 77, 80