Answer:
The given statement is false.
Explanation:
Given that there are two data sets A and B. data set A has a larger std deviation
Standard deviation is nothing but the square root of variance
Variance is the sum of squares of deviations of each entry from the mean.
Hence larger the std deviation larger is the spread
Since data set A has a larger standard deviation, the statement
Data set A is less spread out than Data set B is false.