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

Question

Question

This question was previously asked in

SSC CGL Tier-II ( JSO ) 2021 Official Paper ( Held On: 10 August 2022 )

Answer 1

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.