Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Descriptive Statistics › Jesse ranked 37th in a graduating class of 180 s…
Jesse ranked 37th in a graduating class of 180 students, so 143 students ranked below him. At what percentile does his rank put him?
AThe 20th percentile
BThe 37th percentile
CThe 74th percentile
DThe 80th percentile
Answer & Solution
Correct answer: D. The 80th percentile
1. The number of students ranked below Jesse is 180 minus 37, which is 143 students.
2. Exactly one student holds the rank of 37, so the tie count y is 1.
3. The numerator is 143 plus half of 1, which is 143.5.
4. Dividing 143.5 by 180 and multiplying by 100 gives 79.72.
5. Rounding places Jesse at the 80th percentile of his class.
6. Answering with 37 reports his rank rather than his percentile, and 20 reports the share of students above him.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.2 Measures of the Location of the Data_
Related questions
The median differs from the mean in that the median does not have to be:Quartiles and percentiles are together described as the common measures of:The median of that set, 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, is:For that same set of ten values, the median is the average of which two ordered values?For the data 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, the most frequent value is:A data set whose values sit closely near the mean will have a standard deviation that is:The variation of data values around the centre is captured by the:A quick graph that shows the exact values while revealing the pattern is a: