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Ergonomics When designing an eye-recognition security

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 1RE Chapter 3.4

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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4
Problem 1RE

 

Ergonomics When designing an eye-recognition security device, engineers must consider the eye heights of standing women. (It’s easy for men to bend lower, but it’s more difficult for women to rise higher.) Listed below are the eye heights (in millimeters) obtained from a simple random sample of standing adult women (based on anthropométrie survey data from Gordon, Churchill, et al.). Use the given eye heights to find the (a) mean; (b) median; (c) mode; (d) midrange; (e) range; (f) standard deviation; (g) variance; (h) Q1; (i) Q3.

Step-by-Step Solution:

Answer

Step 1 of 10</p>

Given values(X)

(x-)

1550

92.16

1642

6789.76

1538

466.56

1497

3918.76

1571

129.96

Total=7798

11397.2

Step 2 of 10</p>

a)Mean= = = 

                             =1559.6

Step 3 of 10</p>

b)Median=(th value

           =()th value =3rd value

                                   

                                            =1530

Step 4 of 10</p>

c)The Mode of a set of data is the value in the set that occurs most often

    In the given data all the values appear one time there is no repetition of values

    So, there is no mode for the given values

Step 5 of 10</p>

d)Mid range=(Largest value + Smallest value)/2

                 =(1642+1497)/2

                 =1569.5

 

Step 6 of 10

Chapter 3.4, Problem 1RE is Solved
Step 7 of 10

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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