Answered: Count 186 40 H Mean StdDev 8.343 yd…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Driving distance 2011 How far do professional golfers
drive a ball? (For non-golfers, the drive is the shot hit
from a tee at the start of a hole and is typically the
longest shot.) The next page shows a histogram of the
average driving distances of the 186 leading professional
golfers by end of November 2011 along with summary
statistics (www.pgatour.com).a) Find a 95% confidence interval for the mean drive
distance.
b) Interpreting this interval raises some problems. Discuss.
c) The data are the mean driving distance for each
golfer. Is that a concern in interpreting the interval?
(Hint: Review the What Can Go Wrong warnings
of Chapter 8. Chapter 8?! Yes, Chapter 8.)

Count
186
40 H Mean
StdDev 8.343 yd
291.09 yd
30
5 20
10
260 270 280 290 300 310 320
Driving Distance
# of Golfers

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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