Question: The harmonic mean is often used as a measure of central tendency for data sets consisting of rates of change, such as speeds. It is

The harmonic mean is often used as a measure of central tendency for data sets consisting of rates of change, such as speeds. It is found by dividing the number of scores n by the sum of the reciprocals of all scores, expressed as

(No score can be zero.) For example, the harmonic mean of 2, 4, and 10 is

The harmonic mean is often used as a measure of

a. Four students drive from Toronto to Saint John (1440 km) at a speed of 60 km/h and return at a speed of 100 km/h. What is their average speed for the round trip? (The harmonic mean is used in averaging speeds.)
b. Jacques Villeneuve posted the average speeds (in kilometers per hour) shown below for his last 10 laps of practice, and in doing so qualified for the Canadian Grand Prix at Montreal. What was Villeneuve's average speed for these 10 laps?
192.8 191.6 197.5 198.2 199.1 197.6 196.5 197.5 193.5 190.0

3 = 3.5 1 1 1 1 0.85 x2 4 10

Step by Step Solution

★★★★★

3.33 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Let x h stand for the harmonic mean ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

789-M-S-S-I (5184).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Standard deviation of returns is often used as a measure of a mutual funds volatility (risk). A larger standard deviation of returns is an indication of higher risk. According to Morningstar.com...

Refer to Exercise 17.17 a. Use stepwise regression to compute the regression equation. b. Compare the output with that produced in Exercise 17.17. In exercise 17.17 La Quinta Motor Inns is a...

When data consist of rates of change, such as speeds, the harmonic mean is an appropriate measure of central tendency. For n data values, Harmonic mean = n/1/x, assuming no data value is 0 Suppose...

33. The harmonic mean is often used as a measure of central tendency for data sets consisting of rates of change, such as speeds. It is found by dividing the number of values n by the sum of the...

Harmonic Mean The harmonic mean is often used as a measure of center for data sets consisting of rates of change, such as speeds. It is found by dividing the number of values n by the sum of the...

The harmonic mean is often used as a measure of center for data sets consisting of rates of change, such as speeds. It is found by dividing the number of values n by the sum of the reciprocals of all...

pls help me thanks:- Price of Chevy Cobalts The following data represent the sales price in dollars for nine 2-year- old Chevrolet Cobalts in the Los Angeles area. 14050 13909 12909 10905 9980 8998...

Number of sexual partners in a year. Is this a numerical variable or categorical variable? If numerical, state whether the variable is discrete or continuous; or if categorical, state whether the...

I need to see the SPSS output. You need to have all z-scores, all charts, all descriptives data from SPSS, everything you used to answer the questions. I am sending you what the previous tutor sent...

Study Guide Healthcare Statistics By Jacqueline K. Wilson, RHIA About the Author Jacqueline K. Wilson is a Registered Health Information Administrator (RHIA) who has more than ten years of experience...

Carla Vista Company has two production departments: Fabricating and Finishing. Beginning inventories are: Work in Process- Fabricating, $7,100; Work in Process-Finishing, $4,800; and Finished Goods...

The following data from the balance sheet for a company as at the end of the fiscal year: Current assets SAR 10,000 Current liabilities SAR 5,000 Long-term assets (property and equipment) SAR 6,000...

In Problem 14.5 on page 577, you used the percentage of alcohol and chlorides to predict wine quality (stored in VinhoVerde ). a. Plot the residuals versus Y n i b. Plot the residuals versus X1i . c....

A new radar device is being considered for a certain missile defense system. The system is checked by experimenting with aircraft in which a kill or a no kill is simulated. If, in 300 trials, 250...

In a Microsoft Instant Messaging survey, 1021 adults were asked to identify the most fun way to flirt, and 61 of them chose e-mail. a. If 1 of the surveyed adults is randomly selected, what is the...

427 different adult women were randomly selected and asked what they purchase online, and 162 of the women said that they purchase clothes online (based on a survey by the Consumer Reports Research...

Among respondents asked which is their favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat (based on data from USA Today). a. What is the...

Store managers believe that they need another coffee machine. They give you the following numbers. Your task is to see if the numbers translate into a positive net present value. Consider the...

Delta Company, a U.S. MNC, is contemplating making a foreign capital expenditure in South Africa. The initial cost of the project is ZAR12,600. The annual cash flows over the five-year economic life...

Calculate the average inventory (in $) and inventory turnover ratio for the given company. (Round the inventory turnover ratio to one decimal place.) Company Beginning Inventory Ending Inventory...