The test scores of 40 students are listed below. Find P56. $\begin{array} { l l l l l l l l l l } 30 & 35 & 43 & 44 & 47 & 48 & 54 & 55 & 56 & 57 \end{array}$
$\begin{array} { l l l l l l l l l l } 59 & 62 & 63 & 65 & 66 & 68 & 69 & 69 & 71 & 72 \end{array}$
$\begin{array} { l l l l l l l l l l } 72 & 73 & 74 & 76 & 77 & 77 & 78 & 79 & 80 & 81 \end{array}$
$\begin{array} { l l l l l l l l l l } 81 & 82 & 83 & 85 & 89 & 92 & 93 & 94 & 97 & 98 \end{array}$
A) 73.5
B) 22.4
C) 74
D) 73

Question

Quizplus · Accepted Answer

P56 is the 56th percentile, which means that 56% of the data is below this value. Since there are 40 data points, 56% of 40 is 22.4. The 22nd and 23rd data points are 73 and 74, respectively. Since the 56th percentile is between these two values, P56 is 73.5.

The Test Scores of 40 Students Are Listed Below 30354344474854555657\begin{array} { l l l l l l l l l l } 30 & 35 & 43 & 44 & 47 & 48 & 54 & 55 & 56 & 57 \end{array}30​35​43​44​47​48​54​55​56​57​

The Test Scores of 40 Students Are Listed Below $\begin{array} { l l l l l l l l l l } 30 & 35 & 43 & 44 & 47 & 48 & 54 & 55 & 56 & 57 \end{array}$