In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations with values less than 86. Find the percentile for 86.
A) $P _ { 122.56 }$
B) $P _ { 32 }$
C) $P _ { 69 }$
D) $P _ { 612 }$

Question

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations with values less than 86. Find the percentile for 86. 
A) $P _ { 122.56 }$
B) $P _ { 32 }$
C) $P _ { 69 }$
D) $P _ { 612 }$

Quizplus · Accepted Answer

The percentile for a value is calculated by dividing the number of observations below the value by the total number of observations, then multiplying by 100. Here, (276/400) * 100 = 69, so 86 is at the 69th percentile.

In a Data Set with a Range of 55 P122.56P _ { 122.56 }P122.56​

In a Data Set with a Range of 55 $P _ { 122.56 }$