Find the indicated measure.
-The weights (in pounds) of 30 newborn babies are listed below. Find $$\mathrm { P } _ { 16 }$$ $$\begin{array} { l l l l l l l l l l }
5.5 & 5.7 & 5.8 & 5.9 & 6.1 & 6.1 & 6.4 & 6.4 & 6.5 & 6.6 \
6.7 & 6.7 & 6.7 & 6.9 & 7.0 & 7.0 & 7.0 & 7.1 & 7.2 & 7.2 \
7.4 & 7.5 & 7.7 & 7.7 & 7.8 & 8.0 & 8.1 & 8.1 & 8.3 & 8.7
\end{array}$$
A) 4.8 lb
B) 5.9 lb
C) 6.1 lb
D) 6.0 lb

Question

Find the indicated measure.
-The weights (in pounds) of 30 newborn babies are listed below. Find $$\mathrm { P } _ { 16 }$$ $$\begin{array} { l l l l l l l l l l } 
5.5 & 5.7 & 5.8 & 5.9 & 6.1 & 6.1 & 6.4 & 6.4 & 6.5 & 6.6 \
6.7 & 6.7 & 6.7 & 6.9 & 7.0 & 7.0 & 7.0 & 7.1 & 7.2 & 7.2 \
7.4 & 7.5 & 7.7 & 7.7 & 7.8 & 8.0 & 8.1 & 8.1 & 8.3 & 8.7
\end{array}$$
A) 4.8 lb
B) 5.9 lb
C) 6.1 lb
D) 6.0 lb

Quizplus · Accepted Answer

To find the 16th percentile, we need to arrange the weights in ascending order:
$$5.5, 5.7, 5.8, 5.9, 6.1, 6.1, 6.4, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7$$
There are 30 weights, so the 16th percentile is the weight at position $\frac{16}{100} \cdot 30 = 4.8$. Since this is not a whole number, we need to take the average of the weights at positions 4 and 5:
$$ \frac{5.9+6.1}{2} = \boxed{6.0 \text{ lb}}$$
However, this is not one of the answer choices. The closest answer choice is C) 6.1 lb. This is the weight at position 5, which is a reasonable estimate for the 16th percentile.

Find the Indicated Measure P16\mathrm { P } _ { 16 }P16​

Find the Indicated Measure $\mathrm { P } _ { 16 }$