Question
Download Solution PDFThe median of following observations 8, 9, 7, 10, 8, 8, 10, 8, 7, 9 is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 8.0.
Key Points
- The median is a measure of central tendency that gives us the middle value in a dataset.
- The median is useful when the dataset has outliers or extreme values that can distort the mean.
- To find the median, we need to arrange the data in order and choose the middle value or average of the two middle values.
- It's important to note that the median is not always the same as the mean, which is another measure of central tendency that gives us the average value in a dataset.
- Unlike the median, the mean is sensitive to outliers and extreme values, which can have a significant impact on the result.
Additional Information
- The median is a measure of central tendency that gives us the middle value in a dataset when it is arranged in order.
- To find the median of a dataset, we first need to arrange the data in ascending or descending order, and then choose the middle value.
- If the dataset has an odd number of observations, the median is simply the middle value.
- If the dataset has an even number of observations, the median is the average of the two middle values.
- In this case, the dataset has 10 observations, which is an even number.
- After arranging the data in ascending order, the dataset becomes: 7, 7, 8, 8, 8, 8, 9, 9, 10, 10
- The two middle values are 8 and 8, and the average of these two values is 8.0, which is the median of the dataset.
Important Points
- The median is a useful measure of central tendency for datasets with outliers or extreme values.
- It's essential to understand the difference between the median and the mean and how to calculate them.
- In practice, different measures of central tendency may give different results, and it's important to choose the appropriate one based on the characteristics of the dataset.
Last updated on Jun 10, 2025
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