High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #7 : Understanding Mean, Median, And Mode

Alice recorded the outside temperature at noon each day for one week. These were the results.

Monday: 78

Tuesday: 85

Wednesday: 82

Thursday: 84

Friday: 82

Saturday: 79

Sunday: 80

What is the mode of the temperatures?

Possible Answers:

Correct answer:

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.  Then, identify the value that is repeated most frequently.

 

Example Question #8 : Understanding Mean, Median, And Mode

Alice recorded the outside temperature at noon each day for one week. These were the results.

Monday: 78

Tuesday: 85

Wednesday: 82

Thursday: 84

Friday: 82

Saturday: 79

Sunday: 80

What is the median temperature?

Possible Answers:

Correct answer:

Explanation:

The median is determined by ordering the values in the group from least to greatest and identifying the value directly in the middle.  For instance, if five numbers are ordered from least to greatest, the third is the median. 

 

Example Question #1711 : High School Math

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

Possible Answers:

Correct answer:

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 #1712 : High School Math

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?

Possible Answers:

Correct answer:

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 #1 : How To Find The Mean For A Set Of Data

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?

Possible Answers:

Correct answer:

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 #1 : Univariate Data

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?

Possible Answers:

Correct answer:

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 #3 : Univariate Data

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?

Possible Answers:

Correct answer:

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 #3 : Univariate Data

What is the mode of the following list of numbers?

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

Possible Answers:

Correct answer:

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 #11 : Understanding Mean, Median, And Mode

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 ?

Possible Answers:

Correct answer:

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 #421 : 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?

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.

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