Question

if data set a has a larger standard deviation than data set b, data set a is less spread out than data set b

Answer 1

It's False

i got it right on the test

Answer 2

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.