Question

Data set A: 3,4,6,12,16,17,19

Data set B: 16,17,18,18,18,19,20
Which of the following statements is true?
A.) Each set of data represents a normal distribution
B.) Data set b has a skewed distribution
C.) the mean for set b is smaller than the mean for set A
D.) Both sets of data are bimodal
E.) set b has a smaller standard deviation than set a

Answer 1

The statement that set B has a smaller standard deviation than set A is likely true, as Set B's values are more closely clustered than those in Set A.

Step-by-step explanation:

The actual question pertaining to Data sets A and B can be addressed through statistical analysis. The claim Data set B has a skewed distribution (B) is false because the values in Data set B are fairly symmetrically distributed around the central value, which would actually suggest a normal distribution. The assertion the mean for set B is smaller than the mean for set A (C) is also false; a quick calculation shows that the mean of Data set B is actually higher. Both sets of data are bimodal (D) is incorrect since neither set shows clear peaks at two different values. Finally, set B has a smaller standard deviation than set A (E) is likely true given that the values in Data set B are more closely clustered around the mean than those in Data set A, which has a wider range of values and greater variability.