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

5, comma, 9, comma, 9, comma, 10, comma, 13, comma, 14, comma, 15, comma, 16, comma, 16
5,9,9,10,13,14,15,16,16
Min:
Q1:
Med:
Q3:
Max:
Create the box plot by dragging the lines:

Answer 1

To determine the statistical measures (Minimum, Q1, Median, Q3, and Maximum) for the given dataset, let's begin by organizing the data.

The dataset is: 5, 9, 9, 10, 13, 14, 15, 16, 16

Step 1: Identify the statistical measures

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

   • Min = 5

2. Maximum (Max): The largest number in the set.

   • Max = 16

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

   • The number of observations (n = 9) is odd. The median is the value in the middle position, which is the 5th number in the sorted list.
   • Med = 13

4. First Quartile (Q1): This is the median of the first half of the data. For this dataset, the first half is:

   • 5, 9, 9, 10
   • The median of these four values is (9 + 9)/2 = 9.
   • Q1 = 9

5. Third Quartile (Q3): This is the median of the second half of the data. For this dataset, the second half is:

   • 14, 15, 16, 16
   • The median of these four values is (15 + 16)/2 = 15.5.
   • Q3 = 15.5

Step 2: Summarizing the results

• Min: 5
• Q1: 9
• Med: 13
• Q3: 15.5
• Max: 16

Step 3: Create the Box Plot

To create the Box Plot, we will use the previously calculated values:

• Minimum (5)
• Q1 (9)
• Median (13)
• Q3 (15.5)
• Maximum (16)

You would create a box plot by drawing a box from Q1 to Q3, with a line at the median, and then extending whiskers to the minimum and maximum values.

In your plotting tool, please adjust the lines accordingly:

1. Draw a box from Q1 (9) to Q3 (15.5).
2. Mark the median at 13 (inside the box).
3. Extend the whiskers from the minimum value (5) to Q1 (9) and from Q3 (15.5) to the maximum value (16).

If you're using online software for plotting, you should be able to drag the lines to represent these values appropriately. Once adjusted, your box and whiskers plot will accurately represent the given dataset.