What are the similarities and differences between these data sets in terms of their centers and their variability?

data set a: 1, 2, 4, 1, 9

data set b: 2, 7, 8, 12, 1

select from the drop-down menus to correctly complete the statements.

comparing the centers of the data sets, the median for data set a is the median for data set b. further, based on the range, data set is more variable.

Diagram A  Is the real answer

Step-by-step explanation:

1 2 3 4 56

22

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.