The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 66th percentile.

$\begin{array}{ | c | }
\hline { \text { Ranked data } } \
\hline\begin{array}{lllll}
14 & 50 & 85 & 123 & 147 \
16 & 51 & 88 & 125 & 150 \
21 & 51 & 93 & 126 & 151 \
25 & 56 & 99 & 129 & 155 \
29 & 58 & 102 & 131 & 159 \
31 & 60 & 103 & 132 & 162 \
37 & 67 & 106 & 135 & 166 \
39 & 73 & 113 & 141 & 169 \
42 & 75 & 117 & 142 & 173 \
45 & 79 & 121 & 144 & 177\
\end{array}\
\hline
\end{array}$

A) 126
B) 106
C) 113
D) 117
E) 67

Question

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 66th percentile.

$\begin{array}{ | c  | } 
\hline  { \text { Ranked data } } \
\hline\begin{array}{lllll}
14 & 50 & 85 & 123 & 147 \
16 & 51 & 88 & 125 & 150 \
21 & 51 & 93 & 126 & 151 \
25 & 56 & 99 & 129 & 155 \
29 & 58 & 102 & 131 & 159 \
31 & 60 & 103 & 132 & 162 \
37 & 67 & 106 & 135 & 166 \
39 & 73 & 113 & 141 & 169 \
42 & 75 & 117 & 142 & 173 \
45 & 79 & 121 & 144 & 177\
\end{array}\
\hline
\end{array}$

A) 126
B) 106
C) 113
D) 117
E) 67

Quizplus · Accepted Answer

To find the 66th percentile of a data set with 50 pieces of data, first calculate the position using the formula: $P = \frac{66}{100} \times 50 = 33$. The 33rd data point in the ranked list is 126, which corresponds to choice A.

The Following List Gives 50 Pieces of Ranked Data (Ranked