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

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.