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. 1,1,2,2,5,6,11,11,12,13,14,16,17,19 min: q1: med: q3: max: create the box plot by dragging the lines: answer attempt 1 out of 2 you must answer all questions above in order to submit.

Explanation:

Step1: Find the minimum value

The minimum value in the data - set $1,1,2,2,5,6,11,11,12,13,14,16,17,19$ is $1$.

Step2: Find the maximum value

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

Step3: Find the median (Med)

There are $n = 14$ data points. The median is the average of the $\frac{n}{2}=7$th and $(\frac{n}{2}+1) = 8$th ordered data - points. The 7th value is $11$ and the 8th value is $11$, so $Med=\frac{11 + 11}{2}=11$.

Step4: Find the first quartile (Q1)

The lower half of the data set is $1,1,2,2,5,6,11$. There are $n_1=7$ data points. The median of the lower half (Q1) is the 4th value. So $Q1 = 2$.

Step5: Find the third quartile (Q3)

The upper half of the data set is $11,12,13,14,16,17,19$. There are $n_2 = 7$ data points. The median of the upper half (Q3) is the 4th value. So $Q3=14$.

Answer:

Min: $1$
Q1: $2$
Med: $11$
Q3: $14$
Max: $19$