High School Math : Data Properties

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #21 : Data Properties

Each student's grade in Becky's math class is determined using a weighted average. Exams comprise 50% of the grade, quizzes comprise 20%, and homework comprises the final 30%. Becky has an 87% average on tests, 82% on quizzes, and 97% on homework. What is her overall grade?

Possible Answers:

Correct answer:

Explanation:

First, convert the weighted percents to decimals.

Next, multiply each score by the weight.

Finally, sum all of the weighted scores.

Example Question #22 : Data Properties

Find the mean and median of the following data set:

Possible Answers:

Mean:

Median:

Mean:

Median:

Mean:

Median:

Mean:

Median:

Mean:

Median:

Correct answer:

Mean:

Median:

Explanation:

The mean is the sum of the numbers divided by their count:

To find the median, order the set from smallest to largest:

When there are two numbers in the middle, find the average of those numbers:

Example Question #23 : Data Properties

Albert's biology grade is based on the average of three test scores and a final.  The final is worth twice a regular test.  What is the minimum grade he must get on the final to get an A in the course if his other test scores were ?

Possible Answers:

Correct answer:

Explanation:

The average is the sum of the data divided by the total number of data points.

Let final score.

Simplify so the equation to solve becomes .

Cross multiplying we get .

Then subtract from both sides and divide by to get .

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