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. 6,6,6,10,11,11,12,12,14,15,15,16,16 min: q1: med: q3: max: create the box plot by dragging the lines:

Explanation:

Step1: Find Min and Max

Min is the smallest value, Max is the largest. Data: 6,6,6,10,11,11,12,12,14,15,15,16,16. So Min = 6, Max = 16.

Step2: Find Median (Med)

Data has 13 values (odd). Middle term (7th) is 12. So Med = 12.

Step3: Find Q1 (Lower Quartile)

Lower half: 6,6,6,10,11,11 (6 values, even). Median of lower half: average of 3rd and 4th. 3rd=6, 4th=10. Q1 = (6 + 10)/2 = 8.

Step4: Find Q3 (Upper Quartile)

Upper half: 12,14,15,15,16,16 (6 values, even). Median of upper half: average of 3rd and 4th. 3rd=15, 4th=15. Q3 = (15 + 15)/2 = 15.

Answer:

Min: 6, Q1: 8, Med: 12, Q3: 15, Max: 16