Find the percentile for the data point.
-The test scores of 32 students are listed below. Find P46. $$\begin{array} { l l l l l l l l }
32 & 37 & 41 & 44 & 46 & 48 & 53 & 55 \
56 & 57 & 59 & 63 & 65 & 66 & 68 & 69 \
70 & 71 & 74 & 74 & 75 & 77 & 78 & 79 \
80 & 82 & 83 & 86 & 89 & 92 & 95 & 99
\end{array}$$
A)15
B)14.72
C)68
D)67

Question

Find the percentile for the data point.
-The test scores of 32 students are listed below. Find P46. $$\begin{array} { l l l l l l l l } 
32 & 37 & 41 & 44 & 46 & 48 & 53 & 55 \
56 & 57 & 59 & 63 & 65 & 66 & 68 & 69 \
70 & 71 & 74 & 74 & 75 & 77 & 78 & 79 \
80 & 82 & 83 & 86 & 89 & 92 & 95 & 99
\end{array}$$
A)15
B)14.72
C)68
D)67

Quizplus · Accepted Answer

To find the 46th percentile (P46), we use the formula: $ P_k = \frac{k}{100} \times (n+1) $, where $ n $ is the number of data points. Here, $ n = 32 $. So, $ P_{46} = \frac{46}{100} \times 33 = 15.18 $. The 15th data point is 68, so P46 is approximately 68.

Find the Percentile for the Data Point A)15 B)14

Find the Percentile for the Data Point A)15
B)14