Exam 3: Describing Data: Numerical Measures

A study of business faculty in Ontario revealed that the arithmetic mean annual salary is $62,000 and a standard deviation of $3,000. The study also showed that the faculty had been employed an average (arithmetic mean) of 15 years with a standard deviation of 4 years. How does the relative dispersion in the distribution of salaries compare with that of the lengths of service?

A sample of the daily number of passengers per bus riding the Bee Line commuter route yielded the following information: What is the standard deviation?

A study of business faculty in Ontario revealed that the arithmetic mean annual salary is $72,000 and a standard deviation of $3,000. The study also showed that the faculty had been employed an average (arithmetic mean) of 15 years with a standard deviation of 4 years. How does the relative dispersion in the distribution of salaries compare with that of the lengths of service?

If the mean of a frequency distribution is smaller than the median and mode, the Pearson's coefficient of skewness would be ___________.

Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.) What were the mean earnings for men for the years 1999-2008?

If the sum of all the values of a distribution is divided by the number of values, the result is the_________

The printout below is a summary of the average annual earnings of male full time workers in Canada from 1999-2008. Determine the coefficient of variation.

The weights of a sample of 100 boxes being shipped by Air France from Toronto to Paris are: -The standard deviation for polyester carpet is____________ .

For which measure of central tendency will the sum of the deviations of each value from that average always be zero?

Using the information gathered for real estate prices in Regina and surrounding areas in the early 2000's, determine the mean of the selling prices at that time.

In the relationship between the mean and median in a negatively skewed distribution the is less than the ___________.

The measure of central tendency used to determine the average annual percent increase in sales from one time period to another is the_______ .

A survey of passengers on domestic flights revealed these distances: What is the range (in kms)?

i. The interquartile range is the difference between the values of the first and third quartile, indicating the range of the middle fifty percent of the observations. Ii) An outlier is a data point that always occurs in the first quartile. Iii) A student scored in the 85 percentile on a standardized test. This means that the student scored higher than 85% of the rest of the students taking the test.

The weights of a sample of 100 boxes being shipped by Air France from Toronto to Paris are: -The range for polyester carpet is _______-.

Listed below is the box plot of average earnings ratio for full-year, full-time female workers from 1999 to 2008: From this we can interpret that the range of average earnings for women for the years 1999-2008 was approximately:

Referring to the printout below, describe the shape of the distribution of the corresponding histogram.

The weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. What is the sample variance?

The ______is the class with the largest number of observations.

i. A parameter is a measurable characteristic of a sample. ii. The weighted mean is the nth root of n observations. iii. A statistic is a measurable characteristic of the population.