Question

Please show all your work, write equations clearly, plug in values properly, and comment on all steps.

The following data give the speeds of 13 cars (in mph) measured by radar, travelling on 1-84. 73 75 69 68 78 69 74 76 72 79 68 77 71 Compute the percentile rank of 75 Round your answer to two decimal places. To the absolute tolerance is +/-0.01

Answer 1

The sample can be re written as

68,68,69,69,71,72,73,74,75,76,77,78,79

The percentile rank is calculated as

$P=\frac{K}{n}$

Where K= Position of the variable in ascending order, and here the position of 75 is 8

n= no of sample=13

$P=\frac{K}{n}=\frac{8}{13}=61.54$