In a particular year, approximately 1.7 million people took the mathematics section of a college achievement test. Of these, 44% scored less than 490, 47% scored less than 500, 48% scored less than 510, 52% scored less than 520, and 56% scored less than 530. In what interval is the median score? The median score is in the interval (Choose one) a. between 490 and 500 b. between 500 and 510 c. between 510 and 520 d. between 520 and 530

Choice b. between 500 and 510

Step-by-step explanation:

less than 490,           44%      Less than 490       44%

scored less than 500,  47%    490- 500            2%    

scored less than 510, 48%     500 - 510             1%

scored less than 520,  52%    510- 520              4 %

scored less than 530   56%    520- 530             4%

Since n/2 i.e 2.5  

The median will be in the third value that is between 500 and 510 .

The median is defined as a value which divides a data set that has been ordered into two equal parts. One part containing values less than and the other containing observations greater than the median. In the given data the third set is the median that is between 500 and 510.

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

the answer is a beach is the best place to be