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The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement is true? The mean of data set X is greater than the mean of data set Y. The median of data set X is less than the median of data set Y. The standard deviation of data set X is greater than the standard deviation of data set Y. The range of data set X is less than the range of data set Y. The mode of data set X is greater than the mode of data set Y. NextReset

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The data of set X has a greater spread than that of set Y. This only means that the Standard Deviation of data set X is greater than the standard deviation of data set Y. The standard deviation is larger when data is more spread out.

Answer;

-The Standard Deviation of data set X is greater than the than the standard deviation of data set Y.

Explanation;

-The data of set X has a greater spread than that of set Y. This only means that the Standard Deviation of data set X is greater than the than the standard deviation of data set Y.

-The variance and the standard deviation are measures of the spread of the data around the mean. They summarize how close each observed data value is to the mean value.

-In sets of data with a small spread, all values are very close to the mean, resulting in a small variance and standard deviation. While, if the set of data is more dispersed, values are spread further away from the mean, leading to a larger variance and standard deviation.

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