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Here is a data set (n = 117) that has been sorted. 58.5 59.4 60.5 62.1 65.9 65.9 66.2 66.3 66.5 67.4 67.8 68 68.1 68.2 68.2 68.7 69.3 69. 469. 469.8 70. 270.5 70. 771.2 71.5 71.6 71. 9 72. 1 72.6 72.8 73.1 73.4 74.6 | 74.8 74.9 74.9 74.9 75 75.4 75.4 76. 2 76. 4 76. 5 76. 7 76.8 76.9 77.1 . 77.2 77.7 77.9 78 78. 1 78. 2 78. 9 79.4 79.5 79. 8 79.9 80.2 80.5 80. 6 80.7 81.2 81.5 81.7 81. 8 81.8 82.4 82.6 83.183. 1 83.5 83.9 83.9 84.1 | 84.2 84.3 84.3 84.6 85.2 85.6 86 86.1 | 86.1 86.5 86. 6 86. 7 87.1 87.8 88.6 89.1 90. 2 90. 6 90.7 91.4 922 93 93.3 93. 3 94.1 94. 3 95.3 95.5 | 96.1 66.4 69 71.4 74.5 76.2 77.4 79.5 81.6 83.5 85.3 87.3 92.7 101.8 Find the 33rd-Percentile: P. = Preview

Answer :

The 33rd percentile is 75.4.

Percentile is defined as the value below which a given percentage falls under. The percentile formula is used when we need to compare the exact values or numbers over the other numbers from the given data i.e. the accuracy of the number.

To find the percentile, here are a few steps to use the percentile formula. If q is any number between zero and hundred, the qth percentile is a value that divides the data into two parts i.e the lowest part contains the q percent of the data and the rest of the data is the upper part.

We find the rank.

Rank = Percentile ÷ 100

Rank = 33 ÷ 100 = 0.33

So, the rank is 0.33.

Using the percentile formula,

Percentile = Rank × Total number of the data set

Percentile = 0.33 × 117

Percentile = 38.61 ≅ 39

Now, counting 39 values from left to right we reach 75.4, and we can say that all the values below 75.4 will come under the 33rd percentile. In other words, 33% of the values are below 75.4.

Therefore, the 33rd percentile is 75.4.

To learn more about percentile, visit: brainly.com/question/1594020

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