The median of following observations 8, 9, 7, 10, 8, 8, 10, 8, 7, 9 is

The 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.