Step 1: Put the numbers in order. 1,2,5,6,7,9,12,15,18,19,27<span>Step 2: </span>Find the median (How to find a median). 1,2,5,6,7,9,12,15,18,19,27<span>Step 3: </span>Place parentheses around the numbers above and below the median. Not necessary statistically–but it makes Q1 and Q3 easier to spot. (1,2,5,6,7),9,(12,15,18,19,27)<span>Step 4: </span>Find Q1 and Q3 Q1 can be thought of as a median in the lower half of the data. Q3 can be thought of as a median for the upper half of data. (1,2,5,6,7), 9, ( 12,15,18,19,27). Q1=5 and Q3=18.<span>Step 5: </span>Subtract Q1 from Q3 to find the interquartile range. 18-5=13. Hope this helped:) -BRIEMODEE:)
Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.
We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.