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Which of the following statements about standard deviation is true?

A. Standard deviation is always a non-negative number.
B. Standard deviation is resistant to outliers.
C. Standard deviation measures the typical distance data points in a distribution are from the median.
D. Regardless of what units the data are in, standard deviation has no units.
E. If the data is measured in hours, standard deviation would be measured in hours squared.

Respuesta :

Lanuel

Answer:

A. Standard deviation is always a non-negative number.

Explanation:

The true statement about standard deviation is that, standard deviation is always a non-negative number.

A standard deviation is calculated by taking the square root of variance and as such the value of standard deviation is always a positive number and not a negative number.

Additionally, the variance of a sample population is calculated by the summation of all the squared distances obtained from the mean divided by the total number of samples. Hence, all the values of the variance are always positive (non-negative) numbers because they are squared. Consequently, the standard deviation would as well always be a non-negative number.

The SD or the standard deviation is the measure of the amount of variation of the set of values. A low SD is close to the mean and a high SD indicates the values that are spread over a large region.

  • The SD has the same units as the variable. While the correlation coefficient is unitless. The SD is placed at an average distance from the mean value of all the variables.  
  • If the standard deviation is in hours then the SD will be measured separately. Hence the option E is correct.

Learn more about the statements about standard deviation is true.

https://brainly.ph/question/16712479.

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