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.3, comma, 3, comma, 4, comma, 5, comma, 5, comma, 7, comma, 7, comma, 12, comma, 123,3,4,5,5,7,7,12,12Min: Q1: Med: Q3: Max:
Question
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.3, comma, 3, comma, 4, comma, 5, comma, 5, comma, 7, comma, 7, comma, 12, comma, 123,3,4,5,5,7,7,12,12Min: Q1: Med: Q3: Max:
Solution
Min: 3
Q1: 4.5
Med: 6
Q3: 9.5
Max: 123
To create a box and whiskers plot, follow these steps:
-
Identify the minimum and maximum values:
- Minimum (Min): 3
- Maximum (Max): 123
-
Find the median (Med):
- Arrange the data in ascending order: 3, 3, 4, 5, 5, 7, 7, 12, 12, 123
- The median is the middle value. Since there are 10 data points, the median is the average of the 5th and 6th values: (5 + 7) / 2 = 6
-
Determine the first quartile (Q1):
- Q1 is the median of the first half of the data (excluding the overall median if the number of data points is odd). The first half is: 3, 3, 4, 5, 5
- The median of this subset is the average of the 2nd and 3rd values: (3 + 4) / 2 = 4.5
-
Determine the third quartile (Q3):
- Q3 is the median of the second half of the data (excluding the overall median if the number of data points is odd). The second half is: 7, 7, 12, 12, 123
- The median of this subset is the average of the 2nd and 3rd values: (7 + 12) / 2 = 9.5
-
Construct the box plot:
- Draw a number line that includes the range of the data.
- Draw a box from Q1 to Q3.
- Draw a line inside the box at the median (Med).
- Draw "whiskers" from the box to the minimum and maximum values.
The box plot will look something like this:
Min: 3
Q1: 4.5
Med: 6
Q3: 9.5
Max: 123
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