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# Ergonomics When designing an eye-recognition security ISBN: 9780321836960 18

## Solution for problem 1RE Chapter 3.4

Elementary Statistics | 12th Edition

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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:

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

Step 7 of 10

##### ISBN: 9780321836960

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