Over the first five years of owning her car, gina drove about 12,200 miles the first year, 16,211 miles the second year, 12,050 the third year, 11,350 the fourth year, and 13,325 the fifth year. a. find the mean, median, and mode of this data. b. explain which measure of central tendency will best predict how many miles gina will drive in the sixth year.

a. Mean: 13,027.2

Mode: none

Median: 12,200

b. The mean is the best indicator of on average how many miles Gina will drive.

Step-by-step explanation:

The data set is 11,350; 12,050; 12,200; 13,325; and 16,211.

The mean is the average found by adding all the values and dividing by 5.

The mean is 13,027.2.

The mode is the number that occurs most often. No numbers repeat so none.

The median is the number in the dead center of the data set when listed in order. Median is 12,200.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

yes

step-by-step explanation:

yes