Question

3,4,4,6,6,7,7,8,11,12,12,12,17,17
min: □ q1: □ med: □ q3: □ max: □
create the box plot by dragging the lines:
box plot diagram with x - axis from 0 to 20
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Find Min and Max

The minimum value is the smallest number, and the maximum is the largest.
Min: $3$, Max: $17$

Step2: Find Median (Med)

There are $n = 14$ data points. The median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th terms. $\frac{14}{2}=7$, so average of 7th and 8th terms.
Data sorted: $3,4,4,6,6,7,7,8,11,12,12,12,17,17$
7th term: $7$, 8th term: $8$. Median: $\frac{7 + 8}{2}=7.5$

Step3: Find Q1 (First Quartile)

Q1 is the median of the lower half (first 7 terms: $3,4,4,6,6,7,7$). $n = 7$, median is the 4th term.
4th term: $6$. So Q1: $6$

Step4: Find Q3 (Third Quartile)

Q3 is the median of the upper half (last 7 terms: $8,11,12,12,12,17,17$). $n = 7$, median is the 4th term.
4th term: $12$. So Q3: $12$

Answer:

Min: $3$, Q1: $6$, Med: $7.5$, Q3: $12$, Max: $17$