The dot plots below show the ages of students belonging to two groups of salsa classes: a dot plot shows two divisions labeled group a and group b. the horizontal axis is labeled as age of salsa students in years. group a shows 3 dots at 5, 4 dots at 10, 6 dots at 17, 4 dots at 24, and 3 dots at 28. group b shows 6 dots at 7, 3 dots at 10, 4 dots at 14, 5 dots at 17, and 2 dots at 22. based on visual inspection, which group most likely has a lower mean age of salsa students? explain your answer using two or three sentences. make sure to use facts to support your answer.

the 1st one is 13

the 2nd one is 20

so its the 2nd one

Based on visual inspection, the group which is most likely to have a lower mean age of salsa students is:

                      Group A

We may construct a frequency table of Group A as follows:

                         Age            Frequency

                           5                    3

                           10                   4

                           17                    6

                           24                   4

                           28                   3

Age of 20 students were recorded in group A.

            Group B:

                         Age            Frequency

                           7                   6

                           10                  3

                           14                  4

                           17                  5

                           22                 2

Age of 20 students were recorded in Group B.

As we could see that the students in group A are of more age as compared to those in Group B.

Hence, the mean age of students in Group A will be more since the mean is calculated as the ratio of the addition of ages of all students  to the  number of students.

( As denominator of both is same i.e. 20.

But the numerator of Group A is more due to higher age )

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is