Exam 3: Describing Data: Numerical Measures

In a company, the standard deviation of the ages of female employees is 6 years and the standard deviation of the ages of male employees is 10 years. These statistics indicate that the dispersion of age is greater for females than for males.

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 standard deviation?

The net incomes (in $millions) of a sample of steel fabricators are $86, $67, $86, and $85. What is the modal net income?

The relationship between the mean and median in a negatively skewed distribution would be that the _____________.

Based on the Empirical Rule, what percent of the observations will lie between plus or minus two standard deviations from the mean?

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 plus gas?

From the easiest to the hardest "ease of interpretation," rank the measures of dispersion.

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 mean price of unleaded gas?

For the most recent seven years, the U.S. Department of Education reported the following number of bachelor's degrees awarded in computer science: 4,033; 5,652; 6,407; 7,201; 8,719; 11,154; 15,121. What is the annual arithmetic mean number of degrees awarded?

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 mean price of unleaded plus gas?

Cook County public safety monitors the number of "driving under the influence" arrests and is interested in the distribution of arrests in the month of December over the last five years. The data are shown next. What is the standard deviation?

Which one of the following is referred to as the population mean?

The difference between the maximum and minimum values in a set of data is called the _______.

The mean deviation is always positive because the numerator computes the _____________.

A sample of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the sample variance of bottle weight?

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. 100 points is the maximum score. The mean score is 82.1. The 10 scores were: What is the variance?

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

A sample of the personnel files of eight male employees revealed that, during a six-month period, they were absent the following number of days: 2, 0, 6, 3, 10, 4, 1, and 2. What is the mean deviation (in days)?

What is the relationship among the mean, median, and mode in a symmetric distribution?

Chebyshev's Theorem is valid for any ________.