Question

Test scores for a math class are shown below. What are the mean, median, and mode of the data set? 81, 84, 82, 93, 81, 85, 95, 89, 86, 94

Answer 1

Answer:

Mean: 87

Median: 85.5

Mode: 81

Step-by-step explanation:

The mean can be found by finding the sum of numbers in the data set and then dividing that sum by the number of terms.

81 + 84 + 82 + 93 + 81 + 85 + 95 + 89 + 86 + 94 = 870

870 ÷ 10 = 87

Thus, the mean is 87.

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The median can be found by taking off terms from each side of the data (listed in order from least to greatest) set one by one until you end up with the terms in the middle. Doing so, 85 and 86 are in the middle. Since there are two terms, we need to find the sum of the terms and divide by 2, since there are two terms in the middle.

85 + 86 = 171

171 ÷ 2 = 85.5

Thus, the median is 85.5.

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The mode can be found by looking to see which number is used the most in the data set. In this case, 81 is used twice while all of the other numbers are only used once. Therefore, that is the mode.

hope this helps!