hich of the following data sets has the smallest standard deviation and provides correct reasoning as to why it has the smallest standard deviation?
Responses
{−2, −1, 0, 1, 2} because the distribution of values is symmetrical around zero.
Answer A: the set containing the following five numbers: negative 2, negative 1, 0, 1, and 2 because the distribution of values is symmetrical around zero.
A
{99.8, 99.9, 100, 100.1, 100.2} because the range of values is clustered very close to the mean.
Answer B: the set containing the following five numbers: 99.8, 99.9, 100, 100.1, and 100.2 because the range of values is clustered very close to the mean.
B
{9, 9.5, 10, 10.5, 11} because the difference between successive values is constant.
Answer C: the set containing the following five numbers: 9, 9.5, 10, 10.5, and 11 because the difference between successive values is constant.
C
{80, 93, 100, 110, 118} because the sample mean is equal to the true mean of the population.