Question

Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75

Answer 1

Answers:

• mean = 79
• mode = none
• median = 81.5

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Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

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The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

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To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2:  (76+87)/2 = 163/2 = 81.5 is the median