Question

Rylee took five test in science.

Each test had a different score.

The mean score of the test was 90%.

The median score of the test was 85%.

Based on the information select the two statements it must be true.

Answer 1

- More than half the scores were 85% or greater.

- At least one score was exactly 85%

Explanation:

These two answers come from the fact we have a median calculated.

The median of a sample of an odd number of values (like 5 in this case) is one of the values. So, 85% is a result of one of the tests Rylee took.

Since 85% is the median, it means it has 2 values above and 2 value below... counting the 85% itself, that makes 3 results with 85% or greater. Since there is only 5 test results in the sample, 3/5 are 85% or greater... so more than half.