Answer:
Data set B would have flatter distribution with more data in each tail.
Step-by-step explanation:
We are given the following in the question:
Data set A has a smaller standard deviation than data set B.
Standard Deviation:
- It is a measure of dispersion of data.
- It tells us about how much the data deviates around the mean.
- It tells us about the overall deviation of the data from the mean.
- The standard deviation is small when the data are all close to the mean showing less variation.
- The standard deviation is larger when the data values are farther away from the mean, showing more variation.
Since data A has less standard deviation than data B, then data B has a flatter graphical representation as more of the data are present on the tails.