Find the percentile for the data point.
-Data set: $$124\quad136\quad128\quad122\quad130\quad132\quad122\quad120\quad127\quad124\quad128\quad138\quad120\quad124\quad126\quad121 ; $$
data point 130
A)62
B)85
C)75
D)70

Question

Quizplus · Accepted Answer

To find the percentile of a data point, first, arrange the data in ascending order. Then, use the formula: $$P = \left( \frac{N_{below} + 0.5 \times N_{equal}}{N_{total}} \right) \times 100\% $$ where $N_{below}$ is the number of data points below the data point of interest, $N_{equal}$ is the number of data points equal to the data point of interest, and $N_{total}$ is the total number of data points. For the data point 130, after sorting: $$120, 120, 121, 122, 122, 124, 124, 124, 126, 127, 128, 128, 130, 132, 136, 138$$ $N_{below} = 11$ (since there are 11 numbers below 130), $N_{equal} = 1$ (since 130 appears once), and $N_{total} = 16$. Plugging these into the formula gives: $$P = \left( \frac{11 + 0.5 \times 1}{16} \right) \times 100\% = \left( \frac{11.5}{16} \right) \times 100\% = 71.875\%$$ This rounds to approximately 72%, but since this option is not available, the closest provided option is 75%, indicating a possible rounding or option listing discrepancy.

Find the Percentile for the Data Point 124136128122130132122120127124128138120124126121;124\quad136\quad128\quad122\quad130\quad132\quad122\quad120\quad127\quad124\quad128\quad138\quad120\quad124\quad126\quad121 ; 124136128122130132122120127124128138120124126121; Data Point 130 A)62 B)85 C)75 D)70

Find the Percentile for the Data Point $124\quad136\quad128\quad122\quad130\quad132\quad122\quad120\quad127\quad124\quad128\quad138\quad120\quad124\quad126\quad121 ;$ Data Point 130
A)62
B)85
C)75
D)70