Exam 3: Describing Data: Numerical Measures

The measure of central location with the smallest value in a positively skewed distribution is the _________.

What is the median of 26, 30, 24, 32, 32, 31, 27, and 29?

In a sample of 10 people, 3 persons earn $8 an hour, 6 earn $9 an hour, and 1 earns $12 an hour. The weighted mean hourly wage is $9.

The weekly sales from a sample of 10 computer stores yielded a mean of $25,900, a median of $25,000, and a mode of $24,500. Given this, the shape of the distribution would be _________.

A sample of five full-service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table. What is the modal price of unleaded gas?

The mean monthly income of a group of college students is $500; the standard deviation is $50. And the mean monthly income is normally distributed. Approximately, what percent of the incomes will lie between $400 and $600?

A sample of five full-service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table. What is the median price of unleaded gas?

A sample of single persons receiving Social Security payments revealed these monthly benefits: $826, $699, $1,087, $880, $839, and $965. How many observations are below the median?

For any distribution, there are an equal number of values above and below the mean.

The variance is the mean of the sum of the squared deviations between each observation and the median.

The weights (in thousands of kilograms) of seven shipping containers are 9.5, 10.3, 11.0, 10.4, 10.5, 11.2, and 9.2. What is the mean deviation?

A small manufacturing company with 52 employees has annual salaries distributed such that the mean is $25,459, the median is $24,798 and the mode is $24,000. An additional foreman is hired at an annual salary of $50,700. The measure of central location that is affected by the addition of this salary is called the _________________.

Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as __________.

A population consists of all the weights of all defensive tackles on a university's football team. They are Johnson, 204 pounds; Patrick, 215 pounds; Junior, 207 pounds; Kendron, 212 pounds; Nicko, 214 pounds; and Cochran, 208 pounds. What is the population standard deviation (in pounds)?

What are the similarities and differences between the range and the standard deviation?

The weights of a sample of crates ready for shipment to Moscow, Russia are (in kilograms): 103, 97, 101, 106, and 103. What is the mean deviation?

The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20. Using the Empirical Rule, about 95% of the monthly food expenditures are between what two amounts?

A purchasing agent for a trucking company is shopping for replacement tires for their trucks from two suppliers. The suppliers' prices are the same. However, Supplier A's tires have an average life of 60,000 miles with a standard deviation of 10,000 miles. Supplier B's tires have an average life of 60,000 miles with a standard deviation of 2,000 miles. Which of the following statements is true?

The arithmetic mean is the sum of the quantitative observations divided by the total number of observations.

For a sample of similar sized all-electric homes, the March electric bills were (to the nearest dollar): $212, $191, $176, $129, $106, $92, $108, $109, $103, $121, $175, and $194. What is the range?