Consider the following data: 1, 2, 4, 5, 10, 12, 18. The 30^th percentile is the closest to ________. (See the Excel Data File.) A) 2.0 B) 2.4 C) 2.8 D) 5.0

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Quizplus · Accepted Answer

First, we need to find the position of the 30^th percentile. 30^th percentile = (30/100) * (1+1+0)/2 * (7-1) + 1 = 2.8 So the 30^th percentile position is between the second and third numbers in the data set: 2 and 4. We can calculate the percentile using linear interpolation: 2 + (2.8 - 2) * (4 - 2) / (3 - 2) = 2.8 Therefore, the closest value to the 30^th percentile is 2.8.

Consider the Following Data: 1, 2, 4, 5, 10, 12