Question

Your homework grades are 92, 87, 74, 96, 83, 88, 91, 82, and 85. What score on your next homework will make the median and the mode equal? List the scores in order from least to greatest. You can use the strategy Systematic Guess and Check to help you find the solution.

Answer 1

Answer:Next homework Score should be 87.

Explanation:

STEP 1

Listing the scores in ascending order ie from least to greatest gives

74, 82, 83, 85, 87, 88, 91,92, 96

STEP 2

we find the median--- The median score is the score that is in the middle of the set of results when arranged from lowest to highest as we have done above , which give us 87 as the median.

74, 82, 83, 85, 87, 88, 91,92, 96

Also Mode is the score with the highest frequency , ie the score which appears more than other numbers. For now we have no mode as all the numbers occurred once

Therefore in next exam, I should get a score of 87, making my scores to become

74, 82, 83, 85, 87, 87, 88, 91,92, 96

Now my mode becomes 87 ( highest frequency of occurrence ) and

My median becomes (87+ 87)/2 = 87 ( with the addition of a new score the total score become ten, which is now even, so we divide the addtion of the two middle numbers by 2 )