Data Properties

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Questions 1 - 10
1

There are girls and boys running a race. What is the probability that only boys will finish in the top three places?

Explanation

Probability is a fraction between and . The numerator is the total number of ways to get what you want, or a subset of the sample space. The denominator is the total ways, or complete sample space.

The number of ways only boys would finsih in the top three places:

The number of ways all contestants can finish the race:

So the probability of only boys finishing in the top three places is given by the fraction when simplified.

2

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.

3

Explanation

4

There are girls and boys running a race. What is the probability that only boys will finish in the top three places?

Explanation

Probability is a fraction between and . The numerator is the total number of ways to get what you want, or a subset of the sample space. The denominator is the total ways, or complete sample space.

The number of ways only boys would finsih in the top three places:

The number of ways all contestants can finish the race:

So the probability of only boys finishing in the top three places is given by the fraction when simplified.

5

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?

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.

6

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.

7

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?

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.

8

Explanation

9

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

10

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

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