Question

The Average score in an examination taken by 52 students of a class is 85. if the scores of top five performers are not considered, the average score of the students falls by 2. if none of the top five performer score below 80 and if each of them had distinct integal scores, find the maximum possible scores of the topper​

Answer 1

Answer:

177

Step-by-step explanation:

Given  

The Average score in an examination taken by 52 students of a class is 85. if the scores of top five performers are not considered, the average score...

ANSWER

Let the score of the topper be t.

Total score of 52 students = 52 x 85 = 4420

Total score of the remaining 47 students after scores of  the best 5 performers are removed  

= 47 x 83  

= 50 – 3 x 83

= 50 x 83 – 83 x 3

= 4150 – 249

= 3901

Total score of top 5 students = 4420 – 3901

                                             = 519

T is maximum when total score of next 4 top scores is minimum.

Total score of the next 4 top scores has a minimum value of 84 + 85 + 86 + 87 = 342

So t has a maximum of value of 519 – 342 = 177