A TIRE MANUFACTURER WANTS TO DETERMINE THE INNER DIAMETER OF

Isaiah Alsup

Isaiah Alsup

Answered question

2021-11-27

A TIRE MANUFACTURER WANTS TO DETERMINE THE INNER DIAMETER OF A CERTAIN GRADE OF TIRE. IDEALLY, THE DIAMETER WOULD BE 570 MM. THE DATA ARE AS FOLLOWS:
572, 572, 573, 568, 569, 575, 565, 570.
(A) FIND THE SAMPLE MEAN AND MEDIAN.
(B) FIND THE SAMPLE VARIANCE, STANDARD DEVIATION, AND RANGE.

Answer & Explanation

Befoodly

Befoodly

Beginner2021-11-28Added 17 answers

a) Sample mean =sum of observationsNumber of observations=572+572+573+568+569+575+565+5708=570.5
The sample size is 8.
Arrange the data values in ascending order:
565, 568, 569, 570, 572, 572, 573, 575.
Median=570+5722=571
b) Sample variance:
X(XX)256530.255686.255692.255700.255722.255722.255736.2557520.25X=570.5(XX)2=70
Sample variance =(XX)2n1=7081=10

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