A historian asserts that at the beginning of 1852, the population of a certain mining town was 16,000. The historian also asserts that for each of the years from 1849 through 1853, thetown’s population at the beginning of the year was twice that of the preceding year. According to the historian, what was the range of the town’s populations at the beginning of each year from 1848 through 1853?

Set A consists of 7 consecutive even numbers. Set B consists of 5 consecutive odd numbers. If the smallest member of set B is 5 less than the smallest member of set A, how much larger is the arithmetic mean of set A than the arithmetic mean of set B?

A manufacturer makes and sells 2 products, P and Q. The revenue from the sale of each unit of P is $20.00 and the revenue from the sale of each unit of Q is $17.00. Last year the manufacturer sold twice as many units of Q as P. What was the manufacturer’s average (arithmetic mean) revenue per unit sold of these 2 products last year?

The class mean score on a test was 60, and the standard deviation was 15. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?

A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?

The range of the monthly numbers of customers at a certain store was 240 for the year 1999 and 320 for the year 2000. Which of the following is the smallest possible range of the monthly numbers of customers at the store for the two-year period 1999-2000 ?

Set S consists of consecutive positive integers. If the lowest integer in Set S is 1 and the sum of the integers of Set S is 231, what is the median of Set S?

Sam earned a $2,000 commission on a big sale, raising his average commission by $100. If Sam's new average commission is $900, how many sales has he made?

The age of a group of people follows a distribution, which is symmetric about the average (mean) A. If 95% of the distribution falls within two standard deviation (SD) of the mean, then what percentage of the same distribution is less than A + 2SD?

a, b, and c are distinct non-zero integers, and the standard deviation of {a, b, c} is greater than the standard deviation of {|a|, |b|, |c|}. If the range of {a, b, c} is 4, which of the following could be true?

I. The median of {a, b, c} is -2

II. The product of a, b, and c is a prime number

III. The mode of {|a|, |b|, |c|} is 1