Exam 3: Descriptive Statistics: Numerical Methods

An initial investment of $10,000 is observed over 3 years with a geometric mean return at the end of year 3 of 0.512.Determine the value of the investment after 3 years.

According to Chebyshev's Theorem,a range of how many standard deviations would include at least 80 percent of the values?

Joe Smith's IRA at the end of 2007 had a value of $1.2 million.With a rate of return of -29.75 percent in 2008 and a rate of return of 2.98 percent in 2009,calculate the geometric mean rate of return for the two-year period.

Compute the sample standard deviation of the data set 6,4,2,1,4,1.

According to Chebyshev's Theorem,at least what proportion of the data will be within µ ± kσ for k = 1.6

A measurement located outside the upper limits of a box-and-whiskers display is ___________.

If the mean,median,and mode for a given population all equal 25,then we know that the shape of the distribution of the population is ____________.

If the mean is greater than the median,then the distribution is ___________.

Quality control is an important issue at ACME Company,which manufactures light bulbs.To test the life-hours of their light bulbs,they randomly sampled nine light bulbs and measured how many hours they lasted. 378,361,350,375,200,391,375,368,321 What is the mean?

The median is the measure of central tendency that divides a population or sample into four equal parts.

The range of the measurement is the largest measurement plus the smallest measurement.

In a statistics class,10 scores were randomly selected with the following results: 74,73,77,77,71,68,65,77,67,66 What are the lower and upper limits?

In a statistics class,10 scores were randomly selected with the following results: 74,73,77,77,71,68,65,77,67,66 What is the third quartile?

A normal population has 99.73 percent of the population measurements within __________ standard deviations of the mean.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes)(mean = 114.15): 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the variance?

Find the coefficient of variation for IQ tests with a mean of 100 and a standard deviation of 15.

A disadvantage of using grouping (a frequency table)with sample data is that:

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes). 118,124,108,116,99,120,148,118,119,121,45,130,118 What is the IQR?

In a statistics class,10 scores were randomly selected with the following results (mean = 71.5): 74,73,77,77,71,68,65,77,67,66 What is the range?

The following table shows the Price-to-Earnings ratio for a stereo equipment manufacturing company between 1998 and 2002. 1998 12.4 1999 14.6 2000 11.1 2001 8.2 2002 6.8 Determine the percentage change in the P/E ratios from 1998 to 1999.