Which statement describes standard deviation in data sets?

Which statement describes standard deviation in data sets?

• A. A measure of the central tendency.
• B. The average value of the data.
• C. A measure of the spread of data values.
• D. The probability distribution shape.

Answer: (C)

Standard deviation describes how spread out the data are around the mean. It measures dispersion by averaging the squared differences from the mean and then taking the square root, so its units match the data. When values cluster near the mean, the standard deviation is small; when values are more spread out, it’s larger. This is different from central tendency, which concerns the location of the center (like the average). It also doesn’t describe the overall shape of the distribution (such as whether it’s skewed or has heavy tails); that refers to distribution shape, while standard deviation specifically quantifies spread around the center.

Standard deviation describes how spread out the data are around the mean. It measures dispersion by averaging the squared differences from the mean and then taking the square root, so its units match the data. When values cluster near the mean, the standard deviation is small; when values are more spread out, it’s larger. This is different from central tendency, which concerns the location of the center (like the average). It also doesn’t describe the overall shape of the distribution (such as whether it’s skewed or has heavy tails); that refers to distribution shape, while standard deviation specifically quantifies spread around the center.