The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine students as a population. Compute the z-scores for all the students. Compute the mean and standard deviation of these z-scores. Student Pulse Rates Student 177 Student 261 Student 360 Student 481 Student 572 Student 680 Student 780 Student 868 Student 973 Compute the z-scores for all the students. Complete the table. Studentz-scoreStudentz-scoreStudent 1_________Student 6__________Student 2_________Student 7__________Student 3_________Student 8__________Student 4_________Student 9__________Student 5_________ (Round to the nearest hundredth as needed.)Compute the mean of these z-scores. The mean of the z-scores is _____________.(Round to the nearest tenth as needed.) Compute the standard deviation of these z-scores. The standard deviation of the z-scores is ___________.(Round to the nearest tenth as needed.)

Solution: Student Pulse (x) (x-x)2 1 77 20.75309 2 61 130.9753 3 60 154.8642 4 81…

Answered: The accompanying data represent the…

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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The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine students as a population. Compute the z-scores for all the students. Compute the mean and standard deviation of these z-scores.

Student Pulse Rates

Student 1

Student 2

Student 3

Student 4

Student 5

Student 6

Student 7

Student 8

Student 9

Compute the z-scores for all the students. Complete the table.

Student	z-score	Student	z-score
Student 1	_________	Student 6	__________
Student 2	_________	Student 7	__________
Student 3	_________	Student 8	__________
Student 4	_________	Student 9	__________
Student 5	_________

(Round to the nearest hundredth as needed.)

Compute the mean of these z-scores.

The mean of the z-scores is _____________.
(Round to the nearest tenth as needed.)

Compute the standard deviation of these z-scores.

The standard deviation of the z-scores is ___________.
(Round to the nearest tenth as needed.)

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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