# What is the value of the 30th percentile of the set of data: #18, 9, 7, 5, 11, 7, 17, 20, 19, 2, 17, 12, 5, 1, 13, 12, 11, 15, 16, 20#?

To calculate the percentile of a data set, we should first order all the values in the data set from smallest to largest.

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To find the 30th percentile of the given data set, first, arrange the data in ascending order:

1, 2, 5, 5, 7, 7, 9, 11, 11, 12, 12, 13, 15, 16, 17, 17, 18, 19, 20, 20

There are 20 data points in the set. To find the position of the 30th percentile, calculate:

( \text{Position} = \frac{30}{100} \times 20 = 6 )

The 30th percentile falls between the 6th and 7th data points. To find the value, take the average of these two values:

( \text{Average} = \frac{7 + 9}{2} = 8 )

So, the 30th percentile of the data set is 8.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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