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

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.\n2, 3, 4, 4, 5, 6, 6, 6, 8, 9, 10, 11\nmin: 2 q1: 4 med: 6.5 q3: 9 max: 11\ncreate the box plot by dragging the lines:

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.\n2, 3, 4, 4, 5, 6, 6, 6, 8, 9, 10, 11\nmin: 2 q1: 4 med: 6.5 q3: 9 max: 11\ncreate the box plot by dragging the lines:

Answer

Explanation:

Step1: Find the minimum

The minimum value in the data - set $2,3,4,4,5,6,6,6,8,9,10,11$ is $2$.

Step2: Find the first quartile (Q1)

First, find the median of the lower half of the data. The data has $n = 12$ values. The lower half of the data is $2,3,4,4,5,6$. The median of this lower - half (Q1) is the average of the 3rd and 4th ordered values. $\frac{4 + 4}{2}=4$.

Step3: Find the median (Med)

Since $n = 12$ (an even number of data points), the median is the average of the 6th and 7th ordered values. $\frac{6+6}{2} = 6$.

Step4: Find the third quartile (Q3)

The upper half of the data is $6,8,9,10,11$. The median of this upper - half (Q3) is the average of the 3rd and 4th ordered values of the upper half. $\frac{9 + 9}{2}=9$.

Step5: Find the maximum

The maximum value in the data - set is $11$.

Answer:

Min: 2, Q1: 4, Med: 6, Q3: 9, Max: 11