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

2, comma, 2, comma, 4, comma, 6, comma, 6, comma, 7, comma, 8, comma, 9, comma, 9, comma, 11, comma, 11, comma, 12, comma, 19
2,2,4,6,6,7,8,9,9,11,11,12,19
Min:
Q1:
Med:
Q3:
Max:
Create the box plot by dragging the lines:

Answer 1

To find the requested statistical measures for the given dataset:

Data (sorted): 2, 2, 4, 6, 6, 7, 8, 9, 9, 11, 11, 12, 19

Statistical Measures:

1. Minimum (Min):
   The smallest value in the dataset:
   Min = 2

2. Maximum (Max):
   The largest value in the dataset:
   Max = 19

3. Median (Med):
   To find the median, we need to find the middle value of the dataset. Given there are 13 data points (an odd number):

   • The median is the value at position (n + 1) / 2 = (13 + 1) / 2 = 7th position.
   • The 7th value in the sorted list is 8.
     Med = 8

4. First Quartile (Q1):
   Q1 is the median of the first half of the dataset (the first seven numbers):
   2, 2, 4, 6, 6, 7, 8

   • The 4th value (middle of these 7), which is 6.
     Q1 = 6

5. Third Quartile (Q3):
   Q3 is the median of the second half of the dataset (the last six numbers):
   9, 9, 11, 11, 12, 19

   • The average of the 3rd and 4th values: (11 + 11) / 2 = 11.
     Q3 = 11

Summary of Statistical Measures:

• Min: 2
• Q1: 6
• Med: 8
• Q3: 11
• Max: 19

Box Plot Creation:

With the calculated values, you can create the box plot as follows:

1. Draw a box from Q1 (6) to Q3 (11).
2. Draw a line at the median (8) inside the box.
3. Extend the whiskers from the box to the minimum (2) and maximum (19).

This results in the following intervals:

• Whisker: 2 to 6 (Min to Q1)
• Box: from 6 to 11 (Q1 to Q3)
• Line inside box: at 8 (Median)
• Whisker: 11 to 19 (Q3 to Max)

Now you can use this information to create your box and whiskers plot by dragging the lines as needed.