List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in T, how much greater is the average (arithmetic mean) of the integers in S than the average of the integers in T?

Two sets each contain 3 consecutive positive integers. None of the integers included in one set are included in the other set. The two sets are combined to form a set of 6 ordered positive integers. If the median of the combined set is also an integer, which of the following could be the range of the integers in the new set?

I. 15

II. 16

III. 17

The scores on a certain exam were 60, 75, 100, 70 and x. If the median score was 5 points lower than the average (arithmetic mean) score on the exam, which of the following could be x?

A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of . How many integer values are within three standard deviations of the mean?

What is the range of the roots of ||x–1|–2|=1?

Set Y contains elements {2, 4, 6, 8} which of the following sets have smaller standard deviation than set Y?

I. {22, 24, 26, 28}
II. {-4, -2, -8, -6, -10}
III. {0, 2, 4, 6}

Set N is populated with all numbers m, where |m| < 5. Which of the following is the closest to the value of the range of Set N?

The average of 5 distinct positive integers if 33. What are the maximum and minimum possible values of the median of these 5 numbers if the average of the three largest numbers is 39?

While researching the hourly frequency of a certain occurrence, researchers determined that the mean number of occurrences per hour was 18 and the standard deviation of the number of occurrences per hour was 5. However, later, they discovered that the number of occurrences each hour had been undercounted by 3. What was the sum of the correct mean and standard deviation of the number of occurrences per hour?

Seven positive integers have an arithmetic average of 34 and a median of 42. If the greatest of these integers is 7 more than 2 times the least of the integers, what is the maximum possible value of the greatest integer?