Canadian Health Information Management Association Practice Exam

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Study for the Canadian Health Information Management Association Exam. Test your knowledge with flashcards and multiple choice questions, detailed explanations included. Ensure your success on the exam!

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Practice this question and more.

When 7 is added to all measurements within a sample, which of the following is true?

a the mean remains the same.
b the standard deviation remains the same.
c both a and b are true.
d both a and b are false.

The correct answer is: b the standard deviation remains the same.

When a constant value, such as 7, is added to all measurements within a sample, the mean of the sample changes, while the standard deviation remains unaffected. The mean is the average of the data set, and adding a constant incrementally increases every value by that constant. Therefore, the new mean can be calculated by simply adding that constant to the original mean, proving that the mean does not remain the same. However, the standard deviation measures the dispersion or spread of the data points relative to their mean, which remains unchanged when a constant is added to each data point. This is because standard deviation is dependent on the differences between each data point and the mean, which does not change when all data points are uniformly increased by the same amount. As a result, the correct understanding is that while the standard deviation stays the same, the mean does not remain unchanged, making the assertion that the standard deviation remains constant true.