Five test scores have a mean of 91, a median of 93, and a mode...
Araceli Clay
Answered
2022-07-08
Five test scores have a mean of 91, a median of 93, and a mode of 95. The possible scores on the tests are from 0 to 100. a) What is the sum of the lowest two test scores? b) What are the possible values of the lowest two test scores?
Answer & Explanation
Sophia Mcdowell
Expert
2022-07-09Added 14 answers
We know the median is and there are numbers. So we can arrange the numbers in increasing order because is the median. Now we know the mode is , which means it should occur more than once. If it only appears one time, would have also been the mode. So we have . Now the mean is , so . That is part a). Now and and . cannot be because then would also be the mode. So can take values from to and will range from to correspondingly.