The median of the dataset 3, 5, 7, 9, 11, 13 is:
Understand the Problem
The question is asking for the median of a dataset consisting of the numbers 3, 5, 7, 9, 11, and 13. To find the median, we need to identify the middle value when the numbers are ordered.
Answer
The median is $8$.
Answer for screen readers
The median of the dataset 3, 5, 7, 9, 11, 13 is $8$.
Steps to Solve
- Order the dataset
The first step is to ensure the numbers in the dataset are in order. The dataset is already in ascending order: 3, 5, 7, 9, 11, 13.
- Count the numbers
Next, count the total number of values in the dataset. There are 6 numbers: 3, 5, 7, 9, 11, 13.
- Calculate the median
Since there is an even number of observations (6), the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th values in the ordered dataset.
- Identify the middle numbers
The 3rd number is 7, and the 4th number is 9.
- Calculate the average of the middle numbers
To find the median, calculate the average:
$$ \text{Median} = \frac{7 + 9}{2} = \frac{16}{2} = 8 $$
The median of the dataset 3, 5, 7, 9, 11, 13 is $8$.
More Information
The median is the middle value that separates the higher half from the lower half of a data sample. It is particularly useful in statistics because it is not affected by extreme values (outliers).
Tips
- Ignoring to average the two middle numbers when the dataset has an even number of values.
- Misidentifying the middle values when counting.
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