Which of the following is a measure that shows the spread of data in a set?

The standard deviation is a measure of spread in a data set, providing insight into how much the values deviate from the mean. It quantifies the variability or dispersion of the data points around the average value. A smaller standard deviation indicates that the data points are closer to the mean, while a larger standard deviation suggests a wider spread of values.

In contrast, the mode represents the most frequently occurring value in the data set, the mean calculates the average value, and the median identifies the middle value when the data is sorted. While these measures provide valuable information about central tendency and frequency, they do not assess how spread out the values are in relation to one another, which is the primary function of standard deviation. Thus, standard deviation is the appropriate choice for answering the question about measures that indicate the spread of data.