Question

Can I please get help with these data questions?

1) Alice's average mark for five exams is 67%. What minimum mark should Alice obtain in her sixth exam if her average mark for the six exams is to be 70%?

2) For the following set of scores, write another score so that the range is equal to the mode: 19, 21, 23, 23, 23, 27, 34

Answer 1

1) In 5 exams her average is 67.So her total marks is 67*5=335 for all of them..
After the 6th exam she needs to get 70 % average so her marks should be 6*70=420.
So she needs to get 420-335=85% marks in her 6th exam

2)19,21,23,23,23,27,34
mode=23=range
since range=23, difference between highest and lowest marks is 23.
So the 8th score can be either the lowest or the highest
if it is highest then 19 is lowest so score=19+23=42
if it is lowest then 34 is highest so 34-23=11 is the score
so u have 2 possible answers

Answer 2

Thanks viktor.ray! All I wanted was a hint but you did it all. Thanks!