Exam 3: Describing Data: Numerical Measures

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 __________.

Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean annual percent increase?

The number of students at a local university increased from 2,500 students to 5,000 students in 10 years. Based on a geometric mean, the university grew at an average percentage rate of

A sample of assistant professors on the business faculty at state-supported institutions in Ohio revealed the mean income to be $72,000 for nine months, with a standard deviation of $3,000. Using Chebyshev's theorem, what proportion of the faculty earns more than $66,000, but less than $78,000?

The Sea Mist Hotel collects customer satisfaction data daily. Yesterday, the hotel was 99% occupied and the manager wanted to quickly assess customer satisfaction. She randomly selected 10 scores. The maximum score is 100 points. The mean score is 82.1. The 10 scores were: What is the variance?

For any data set, which measures of central location have only one value?

The standard deviation is the positive square root of the variance.

According to the Empirical rule, approximately ___________% of the observations lie within plus and minus one standard deviation of the mean.

The distribution of annual salaries for 52 employees in a small manufacturing company has the following averages: the mean is $25,459, the median is $24,798 and the mode is $24,000. What is the total amount paid for employee salaries?

The capacities of several metal containers are 38, 20, 37, 64, and 27 liters. What is the range in liters?

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 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 _________.

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.

Extremely high or low scores affect the value of the median.

During the past six months, a purchasing agent placed the following three orders for coal: What is the weighted arithmetic mean price per ton?

A value that is typical or representative of the data is referred to as a measure of central location.

What is the relationship between the variance and the standard deviation?

When computing a weighed mean, the denominator is always __________.

A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: What is the mode?

The measure of central location that requires the data to be ranked before it is possible to determine it is called the _________.