2. Which of the following statements defines the 97.5th percentile value for a data sample, regardless of the sample data distribution? The value that is 97.5% larger than the sample mean. The value such that 2.5% of the sample observations are larger than this value, and 97.5% of the sample observations are smaller than this value. The value such that 97.5% of the sample observations are larger than this value, and 2.5% of the sample observations are smaller than this value. This value always corresponds to the sample mean plus 2 standard deviations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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2. Which of the following statements defines the 97.5th percentile value for a data sample, regardless of the sample data
distribution?
The value that is 97.5% larger than the sample mean.
The value such that 2.5% of the sample observations are larger than this value, and 97.5% of the sample
observations are smaller than this value.
The value such that 97.5% of the sample observations are larger than this value, and 2.5% of the sample
observations are smaller than this value.
This value always corresponds to the sample mean plus 2 standard deviations.
Transcribed Image Text:2. Which of the following statements defines the 97.5th percentile value for a data sample, regardless of the sample data distribution? The value that is 97.5% larger than the sample mean. The value such that 2.5% of the sample observations are larger than this value, and 97.5% of the sample observations are smaller than this value. The value such that 97.5% of the sample observations are larger than this value, and 2.5% of the sample observations are smaller than this value. This value always corresponds to the sample mean plus 2 standard deviations.
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