Answer the statistical measures and create a box and whiskers plot for the following set of data., On this question page, you will first be asked to fill in statistical measures, then create a box plot. Once you make adjustments to the box plot, the answer area will appear and you will be able to submit your answers.

Question

6, comma, 6, comma, 6, comma, 10, comma, 11, comma, 11, comma, 12, comma, 12, comma, 14, comma, 15, comma, 15, comma, 16, comma, 16
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:
x
Answer
Attempt 1 out of 2
You must answer all questions above in order to submit.

Answer 1

To find the statistical measures for the given data set, let's first sort the data and then calculate the required values:

The sorted data is: 6, 6, 6, 10, 11, 11, 12, 12, 14, 15, 15, 16, 16

Statistical Measures

1. Minimum (Min): The smallest value in the data set.

   • Min = 6

2. First Quartile (Q1): The median of the first half of the data (the lower 50%).

   • First half: 6, 6, 6, 10, 11, 11
   • Q1 = (6 + 10) / 2 = 8

3. Median (Med): The middle value when the data is ordered.

   • Total number of values: 13
   • Median = 12 (the 7th value in the ordered set)

4. Third Quartile (Q3): The median of the second half of the data (the upper 50%).

   • Second half: 12, 14, 15, 15, 16, 16
   • Q3 = (15 + 15) / 2 = 15

5. Maximum (Max): The largest value in the data set.

   • Max = 16

Summary of Statistical Measures

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

Box and Whisker Plot

To create the box and whisker plot, you can represent these values:

1. Draw a rectangular box from Q1 to Q3 (from 8 to 15).
2. Draw a line at the median (12) inside the box.
3. Extend "whiskers" from the box to the Min (6) and Max (16) values.

This creates a visual representation of the data's spread and central tendency. If you have a graphical tool, you would drag the lines accordingly to reflect these calculations.