the dot plots represent the distribution of values in data sets a and b. which of the following statements…

the dot plots represent the distribution of values in data sets a and b. which of the following statements must be true?\ni the median of data set a is equal to the median of data set b\nii the standard deviation of data set a is equal to the standard deviation of data set b\na. i and ii\nb. i only\nc. ii only\nd. neither i nor ii\ndata set a\nvalue\n4 •\n5 • • •\n6 • •\n7 • • •\n8 • •\n9 • • •\n10 •\ndata set b\nvalue\n4 • •\n5 • • •\n6 • •\n7 • • •\n8 • •\n9 • • •\n10 •

the dot plots represent the distribution of values in data sets a and b. which of the following statements must be true?\ni the median of data set a is equal to the median of data set b\nii the standard deviation of data set a is equal to the standard deviation of data set b\na. i and ii\nb. i only\nc. ii only\nd. neither i nor ii\ndata set a\nvalue\n4 •\n5 • • •\n6 • •\n7 • • •\n8 • •\n9 • • •\n10 •\ndata set b\nvalue\n4 • •\n5 • • •\n6 • •\n7 • • •\n8 • •\n9 • • •\n10 •

Answer

Explanation:

Step1: Recall definitions

Median is the middle - value when data is ordered. Standard deviation measures the spread of data.

Step2: Analyze dot - plots

Just because the median of data set A is equal to the median of data set B does not imply that the standard deviation of data set A is equal to the standard deviation of data set B. The spread of data points around the median can be different in the two data sets.

Answer:

d. Neither I nor II