Given below are the annual number of divorce certificates registered in Oman by year between 2010 and 2019 as published by the NCSI. Find the percentile rank of 3663 divorces.

Kymani Hatfield

Kymani Hatfield

Answered question

2022-10-12

Given below are the annual number of divorce certificates registered in Oman by year between 2010 and 2019 as published by the NCSI. Find the percentile rank of 3663 divorces.
Year Divorces 2010 2736 2011 3805 2012 3570 2013 3550 2014 3622 2015 3619 2016 3736 2017 3867 2018 3663 2019 3728

Answer & Explanation

faux0101d

faux0101d

Beginner2022-10-13Added 21 answers

In this problem, you want to find the percentile rank of the data value 3663 in the data set. The percentile rank represents the percent of numbers in the data set that have value equal or less than 3663.
Take note that there are 10 data values in this data set. It's helpful to sort them in ascending order.
2763,3550,3570,3619,3622,3663,3728,3736,3805,3867
Of these 10 data values, 6 are less than or equal to the data value 3663. To find the percentile rank of 3663, apply the formula:
Percentie rank = ( L N ) 100
where L is the number of data values that are less than or equal to 3663, and N is the size of the data set. Substituting in values for this problem, we have:
Substituting
Percentie rank = ( 6 10 ) 100 = 60
Percentile ranks are always expressed as whole numbers. Evaluating the multiplication above and rounding to the nearest whole number we have:percentile rank = 60
Interpreting our answer, 60% of the numbers in the data set have values less than or equal to 3663.

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