Question

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

Answer 1

Answer:

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.