question\nanswer the statistical measures and create a box and whiskers plot for the following set of data…

question\nanswer the statistical measures and create a box and whiskers plot for the following set of data. enter all values as whole numbers or decimals.\n5,5,6,6,10,11,13,13,13,13,14,16,17,17,18\nmin: q1: med: q3: max:\ncreate the box plot by dragging the lines:

question\nanswer the statistical measures and create a box and whiskers plot for the following set of data. enter all values as whole numbers or decimals.\n5,5,6,6,10,11,13,13,13,13,14,16,17,17,18\nmin: q1: med: q3: max:\ncreate the box plot by dragging the lines:

Answer

Explanation:

Step1: Find the minimum value

The minimum value in the data - set $5,5,6,6,10,11,13,13,13,13,14,16,17,17,18$ is $5$.

Step2: Find the first quartile (Q1)

First, find the median of the lower half of the data. The data set has $n = 15$ values. The lower half of the data consists of the first 7 values: $5,5,6,6,10,11,13$. The median of this lower - half (Q1) is $6$.

Step3: Find the median (Med)

Since $n = 15$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{15+1}{2}=8$ - th value. The median is $13$.

Step4: Find the third quartile (Q3)

The upper half of the data consists of the last 7 values: $13,14,16,17,17,18$. The median of this upper - half (Q3) is $16.5$.

Step5: Find the maximum value

The maximum value in the data set is $18$.

Answer:

Min: $5$ Q1: $6$ Med: $13$ Q3: $16.5$ Max: $18$