Answered: A man recorded the speeds of cars…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

A man recorded the speeds of cars driving past his house, where the speed limit was

mph. The mean of 100 readings was

28.77

mph with a standard deviation of

3.67

mph. (He actually recorded every car for a two-month period. These are 100 representative readings.)

a) How many standard deviations from the mean would a car going the speed limit be?

b) Which would be more unusual, a car traveling

mph or one going

mph?

a) A car traveling at the speed limit is

nothing

standard deviations from the mean.

(Round to two decimal places as needed.)

b) Choose the correct answer below and fill in the answer box(es) to complete your choice.

(Round to two decimal places as needed.)

The car traveling

mph is more unusual. It is

nothing

standard deviations from the mean, while the car traveling

mph is

nothing

standard deviations from the mean.

The car traveling

mph is more unusual. It is

nothing

standard deviations from the mean, while the car traveling

mph is

nothing

standard deviations from the mean.

Both cars are equally unusual. Both cars are

nothing

standard deviations from the mean.

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions