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. 2,7,8,9,9,10,12,13,13,13,14,15,17,18,19 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. 2,7,8,9,9,10,12,13,13,13,14,15,17,18,19 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 $2,7,8,9,9,10,12,13,13,13,14,15,17,18,19$ is $2$.

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: $2,7,8,9,9,10,12$. The median of this lower - half is the $4$th value, so $Q1=9$.

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. So, $Med = 13$.

Step4: Find the third quartile (Q3)

The upper half of the data consists of the last $7$ values: $13,14,15,17,18,19$. The median of this upper - half is the $4$th value of this sub - set, so $Q3 = 15$.

Step5: Find the maximum value

The maximum value in the data set is $19$.

Answer:

Min: $2$ Q1: $9$ Med: $13$ Q3: $15$ Max: $19$