High School Math : Algebra II

Example Questions

Example Question #11 : Data Properties

What is the probability of rolling an odd sum less than seven when rolling two standard six-sided dice?

Explanation:

The sample space for rolling two six-sided dice is .

The odd numbers less than seven are one, three, and five.

The smallest sum you can get with two dice is .

sum of

sum of

Example Question #421 : Algebra Ii

When using a standard deck of cards, what is the probability of drawing two black cards followed by a single red card, assuming no replacement?

Explanation:

Probability is a fraction between and that shows how likely something is to happen.  The numerator represents target outcomes, and the denominator represents the total outcomes to choose from, or the sample space.

Example Question #422 : Algebra Ii

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the mean value of the six homes?

Explanation:

The mean is calculated by adding all the values in a group together, then dividing the sum by the total number in the group.  In this case, six homes are for sale.  The six home values are added together , then that value is divided by six.

Example Question #21 : Basic Statistics

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the median value of the six homes?

Explanation:

The median is determined by ordering the values in the group from least to greatest: 155, 214, 305, 315, 535, 720.  The value directly in the middle is the median.  For instance, if there are five numbers, the third is the median.  Here, we have an even number of values so there is no value directly in the middle.  To find the median when there is no middle-most value, find the average of the two middle values.  The mean is determined by adding the two values and dividing by two (the number in the group):

Example Question #423 : Algebra Ii

A bird watcher observed how many birds came to her bird feeder for four days.  These were the results:

Day 1: 15

Day 2: 12

Day 3: 10

Day 4: 13

What is the mean number of birds?

Explanation:

The mean is calculated by adding the values from the four days together, then dividing the sum by the total number of values.  In this case, four values must be added:

Example Question #424 : Algebra Ii

What is the mode of the following list of numbers?

35, 17, 4, 25, 7, 4, 17, 26, 8, 17

Explanation:

The mode is the number that appears most frequently in a series of numbers.  First, organize the numbers in order from least to greatest: 4, 4, 7, 8, 17, 17, 17, 25, 26, 35.  The number 17 appears three times, more than any other number.

Example Question #425 : Algebra Ii

Harry's final grade in Algebra is based on the average of four tests and one final.  The final is worth twice as much as the other tests. What is the minimum score he must get on the final to get an A in the course if his other test scores are ?

Explanation:

Let the final test score.

The average is given by .

Solve by cross multiplying to get .

Then subtract from both sides to get

Example Question #426 : Algebra Ii

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?

Explanation:

First, convert the weighted percents to decimals.

Next, multiply each score by the weight.

Finally, sum all of the weighted scores.

Example Question #427 : Algebra Ii

Find the mean and median of the following data set:

Mean:

Median:

Mean:

Median:

Mean:

Median:

Mean:

Median:

Mean:

Median:

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 #1722 : High School Math

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 ?