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题目内容
The values of $$X$$ are normally distributed with a mean of 9 and a standard deviation of 2. The values of $$Y$$ are normally distributed with a mean of 3 and a standard deviation of 1.

Quantity A

The fraction of values of $$X$$ between 5 and 11

Quantity B

The fraction of values of $$X$$ between 1 and 4
A value of 16 is 2.5 standard deviations below the mean of the values in a certain data set. Which of the following could be the mean and the standard deviation, respectively, of the values in the data set?
A scientist measured the length of a certain bone in each of 20,000 males in Country U. The scientist determined that the lengths of this bone could be modeled by a normal distribution with a mean of 2.0 centimeters and a standard deviation of 0.3 centimeter. How many standard deviations above the mean is a bone from this sample if it has a length of 2.5 centimeters?
Give your answer to the nearest 0.1.
List $$L$$ consists of 7 numbers. The standard deviation of the numbers in list $$L$$ is 1.

Quantity A

The average (arithmetic mean) of the 7 numbers in list $$L$$

Quantity B

The median of the 7 numbers in list $$L$$

Students in two different classes took the same English test. The table shows statistical results calculated on the students' scores.

Quantity A

The median score for Class 1

Quantity B

The median score for Class 2
Each number in data set $$A$$ is multiplied by a positive number k to create data set $$B$$. The standard deviation of the numbers in $$A$$ is greater than the standard deviation of the numbers in $$B$$.

Quantity A

$$k$$

Quantity B

$$1$$
A 50-question survey was administered to 1,000 college students. The answer to each question was either yes or no. Each student was given a score on the survey equal to the number of questions to which the student answered yes.

Quantity A

The 90th percentile of the 1,000 scores

Quantity B

45
$$x$$, 6, 14, 10, 11
In the list shown, $$x$$ is an integer less than or equal to 6. If the range of the numbers in the list is greater than the median, what is the greatest possible value of $$x$$?
In a department of 15 employees, the average (arithmetic mean) annual salary of the 7 lowest-paid employees is $33,500, and the average annual salary of the 7 highest-paid employees is $38,000.

Quantity A

The median of the 15 annual salaries

Quantity B

$35,900

Fifty boxes of lightbulbs were examined during a quality-control check. The number of defective lightbulbs per box and the corresponding frequencies are summarized in the table.

Quantity A

The median number of defective lightbulbs per box for the fifty boxes

Quantity B

1
Each runner in a race was from one of three countries: $$A$$, $$B$$, or $$C$$. The number of runners from Country $$A$$ was 2 times the number of runners from Country $$B$$, and the number of runners from Country $$C$$ was 3 times the number of runners from Country $$A$$. The average (arithmetic mean) finishing times of the runners from countries $$A$$, $$B$$, and $$C$$ were 81 minutes, 84 minutes, and 90 minutes, respectively. What was the average finishing time of all the runners in the race?
If the average (arithmetic mean) of the 20 numbers in a certain list is 12 and the average of the 10 numbers in another list is 6, what is the average of the 30 numbers in the two lists combined?
The average (arithmetic mean) of the measurements in a large sample is 46.2. The average of the greatest 30 percent of the measurements is 56.5, and the average of the least 30 percent of the measurements is 30.5. What is the average of the remaining 40 percent of the measurements?
A person whose age is closest to the median of the ages of all people in the sample is in which age-group?
For how many of the age-groups is the number of people who use Platform $$B$$ greater than 300?
Which of the following statements are true?
Indicate all such statements.
Of all the passengers carried in June 2007 by the airlines shown, approximately what fraction was carried by Airline $$A$$?

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