Exam 3: Describing Data: Numerical Measures

A negatively skewed distribution is not symmetrical.The long tail is to the left or in the negative direction.

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?

Which measure of central location is found by arranging the data from smallest to largest and selecting the middle value?

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 table below. For Unleaded Plus gas,which measure of central location would not be appropriate to use? ____________.

The lengths of time (in minutes)several underwriters took to review applications for similar insurance coverage are: 50,230,52 and 57.What is the median length of time required to review an application?

The mean deviation is the difference between the mean or the deviations and the arithmetic mean.

The mean absolute deviation is the most commonly used measure 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 table below. For Unleaded gas,which measure of central location would be the lowest?

The sum of the differences between sample observations and the sample mean is

What is the lowest level of measurement that a median can be computed?

What is the relationship between the median and the mode in a positively skewed distribution? _________________.

What is the relationship between the mean and median in a negatively skewed distribution? ________________.

A disadvantage of using an arithmetic mean to summarize a set of data is

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.What measure of central location that is most affected by the addition of this salary? ____________________.

The mean,as a measure of central location would be inappropriate for which one of the following?

A sample revealed that the ages of musicians playing in small local combos are 36,29,37,32,36 and 75.What is the most appropriate measure of central location to represent the ages of the musicians? ______________.

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?

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

According to the Empirical Rule,95% percent of the observations lie within plus and minus 2.00 times (multiplied)the variance.

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