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

Araceli Clay

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

Sophia Mcdowell

Expert

2022-07-09Added 14 answers

We know the median is 93 and there are 5 numbers. So we can arrange the numbers in increasing order a , b , 93 , c , d because 93 is the median.
Now we know the mode is 95, which means it should occur more than once. If it only appears one time, 93 would have also been the mode. So we have a , b , 93 , 95 , 95.
Now the mean is a + b + 93 + 95 + 95 5 = 91, so a + b = 172. That is part a). Now b = 172 a and b a and b < 93. b cannot be 93 because then 93 would also be the mode. So b can take values from 92 to 86 and a will range from 80 to 86 correspondingly.
80 , 92 , 93 , 95 , 95
81 , 91 , 93 , 95 , 95


86 , 86 , 93 , 95 , 95

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