Question

answer the statistical measures and create a box and whiskers plot for the followir
enter all values as whole numbers or decimals.
3,5,5,8,9,10,10,12,12,12,13,14,14,16
min: 3 q1: med: 12 q3: max: 16
create ing the lines:

Explanation:

Step1: Find Q1

The first quartile \(Q1\) is the median of the lower half of the data.
The lower half of the data \(3,5,5,8,9,10\) has \(n = 6\) values.
The median of a set with \(n = 6\) values is \(\frac{3^{rd}+4^{th}}{2}\) value.
\(\frac{5 + 8}{2}=6.5\)

Step2: Find Q3

The third quartile \(Q3\) is the median of the upper half of the data.
The upper half of the data \(12,12,13,14,14,16\) has \(n = 6\) values.
The median of a set with \(n = 6\) values is \(\frac{3^{rd}+4^{th}}{2}\) value.
\(\frac{13+14}{2}=13.5\)

Answer:

Q1: \(6.5\), Q3: \(13.5\)