Data Properties
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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.
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.
Explanation
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.
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.
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.
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.
Explanation
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
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