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. 3,4,4,5,7,7,10,10,12,16 min: □ q1: □ med: □ q3: □ max: □ create the box plot by dragging the lines: box plot image answer you must answer all questions above in order to submit.

Explanation:

Step1: Find Min and Max

The minimum value (Min) is the smallest number in the data set, and the maximum value (Max) is the largest.
Data set: 3, 4, 4, 5, 7, 7, 10, 10, 12, 16
Min = 3, Max = 16

Step2: Find Median (Q2)

The median is the middle value of the ordered data. Since there are 10 data points (even number), the median is the average of the 5th and 6th values.
5th value: 7, 6th value: 7
Median (Q2) = $\frac{7 + 7}{2}$ = 7

Step3: Find Q1 (First Quartile)

Q1 is the median of the lower half of the data (values below the median). Lower half: 3, 4, 4, 5, 7 (first 5 values)
Median of lower half: 4 (3rd value)
So Q1 = 4

Step4: Find Q3 (Third Quartile)

Q3 is the median of the upper half of the data (values above the median). Upper half: 10, 10, 12, 16 (wait, no, original data after median: 7, 10, 10, 12, 16? Wait, no, ordered data: 3, 4, 4, 5, 7, 7, 10, 10, 12, 16. The median is between 5th (7) and 6th (7), so lower half is first 5: 3,4,4,5,7; upper half is last 5: 7,10,10,12,16. Wait, no, when n is even, the lower half is first n/2 = 5 values, upper half is last n/2 = 5 values. So upper half: 7,10,10,12,16. Median of upper half: 10 (3rd value)
So Q3 = 10

Answer:

Min: 3
Q1: 4
Med: 7
Q3: 10
Max: 16

(For the box - and - whiskers plot: The left whisker goes from Min (3) to Q1 (4), the box is from Q1 (4) to Q3 (10) with a line at the median (7), and the right whisker goes from Q3 (10) to Max (16).)