Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added

Complete question :

Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.

1. Standard deviation 11) Median 111) Mean

Standard deviation - increased

Median - cannot be determined

Mean - decrease

Step-by-step explanation:

The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.

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