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Here is a sorted data set with \( n = 117 \):

\[ 41.8, 42.9, 43.2, 45.7, 46.2, 46.4, 46.9, 49.3, 49.4, 50, 50.3, 51.1, 52, 53.4, 53.7, 54.3, 54.4, 54.8, 54.8, 54.9, 56.6, 56.7, 57, 57.3, 57.8, 58, 58.3, 58.4, 58.5, 58.6, 58.6, 58.6, 58.8, 58.9, 59.2, 59.2, 59.3, 59.5, 59.6, 59.7, 59.8, 60.6, 60.9, 61, 61.6, 62, 62.1, 62.3, 62.3, 62.7, 62.7, 62.8, 62.9, 63, 63.3, 63.4, 63.6, 63.9, 64.2, 64.5, 64.6, 64.9, 64.9, 65, 65.2, 65.2, 65.3, 65.4, 65.9, 66.2, 66.3, 66.4, 66.6, 66.6, 66.7, 66.8, 66.9, 66.9, 67, 67.2, 67.2, 67.3, 67.4, 67.4, 67.5, 67.9, 68, 68.1, 68.3, 68.5, 68.9, 69, 69.5, 69.9, 69.9, 70.1, 70.2, 70.4, 70.5, 71.4, 72.1, 72.1, 72.2, 72.8, 72.9, 73.5, 73.9, 74.3, 74.5, 76.3, 76.5, 76.6, 77.7, 77.9, 78.9, 83.2, 84.3 \]

Find the 34th percentile.

Answer :

To find the 34th percentile of the given sorted dataset, we need to determine the value below which 34% of the data lies.

First, we calculate the index corresponding to the percentile using the formula (P / 100) * n, where P is the percentile and n is the number of data points. In this case, P = 34 and n = 117, so the index would be (34 / 100) * 117 = 39.78. Since the index should be a whole number, we round it up to 40. To find the 34th percentile value, we look at the 40th data point in the sorted dataset.

From the provided data, the 40th value is 59.3. Therefore, the 34th percentile of the given dataset is 59.3. The 34th percentile represents the value below which 34% of the data lies. In other words, 34% of the values in the dataset are smaller than or equal to the 34th percentile value. By calculating the index corresponding to the 34th percentile, which is (34 / 100) * 117 = 39.78, we round it up to 40. This means that we need to find the 40th value in the sorted dataset.

Looking at the provided dataset, we can identify that the 40th value is 59.3. Therefore, the 34th percentile of the dataset is 59.3.

Learn more about dataset here: brainly.com/question/26468794

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