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

question answer the statistical measures and create a box and whiskers plot for the following set of data. enter all values as whole numbers or decimals. 3,5,5,6,7,11,14,15,15,16,17 min: q1: med: q3: max: create the box plot by dragging the lines:

question answer the statistical measures and create a box and whiskers plot for the following set of data. enter all values as whole numbers or decimals. 3,5,5,6,7,11,14,15,15,16,17 min: q1: med: q3: max: create the box plot by dragging the lines:

Answer

Explanation:

Step1: Find the minimum value

The minimum value in the data - set $3,5,5,6,7,11,14,15,15,16,17$ is $3$.

Step2: Find the first quartile (Q1)

First, find the median of the lower half of the data. The data set has $n = 11$ values. The lower half of the data is $3,5,5,6,7$. The median of this lower - half (Q1) is $5$.

Step3: Find the median (Med)

Since $n = 11$ (an odd number), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{11+1}{2}=6$ - th value. So the median is $11$.

Step4: Find the third quartile (Q3)

The upper half of the data is $14,15,15,16,17$. The median of this upper - half (Q3) is $15$.

Step5: Find the maximum value

The maximum value in the data - set is $17$.

Answer:

Min: $3$ Q1: $5$ Med: $11$ Q3: $15$ Max: $17$