Five test scores have a mean of 91, a median of 93, and a mode...
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
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.