Cara Mengerjakan Median

>Hello Sohib EditorOnline, do you want to learn how to calculate the median? Median is one of the measures of central tendency in statistics. In this article, we will explain step-by-step how to calculate the median easily. So, let’s get started!

What is Median?

Median is a measure of central tendency that represents the middle number of a data set. To calculate the median, we arrange the data set in order from smallest to largest, then find the middle value. The median divides the data set in half, where half of the values are above the median and half of the values are below the median.

Example:

Let’s say we have a data set of 7 numbers: 3, 5, 8, 11, 13, 15, 17. To calculate the median, we first arrange the numbers in order: 3, 5, 8, 11, 13, 15, 17. The middle value is 11, which is the median of this data set. Half of the values (3, 5, 8) are below the median, and half of the values (13, 15, 17) are above the median.

How to Calculate Median?

Now, we will explain step-by-step how to calculate the median.

Step 1: Arrange the Data in Order

The first step is to arrange the data set in order from smallest to largest. If there are even number of data, we need to find the middle point between two central values.

Step 2: Find the Middle Value

Next, we find the middle value. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values.

Example:

Let’s say we have a data set of 8 numbers: 2, 4, 6, 8, 10, 12, 14, 16. To calculate the median, we first arrange the numbers in order: 2, 4, 6, 8, 10, 12, 14, 16. There are 8 numbers, so we need to find the middle point between the 4th and 5th numbers. The 4th number is 8, and the 5th number is 10. To find the median, we take the average of 8 and 10, which is 9. So, the median of this data set is 9.

When to Use Median?

Median is a useful measure of central tendency when there are extreme values or outliers in the data set. Extreme values can skew the mean, but the median is not affected by them. Therefore, if there are outliers in the data set, it is better to use median to represent the center of the data.

Advantages and Disadvantages of Median

Advantages:

Disadvantages:

FAQ

Q: When should I use median instead of mean?

A: You should use median when there are extreme values or outliers in the data set that can skew the mean. Median is not affected by extreme values or outliers, so it is a better measure of central tendency in such cases.

Q: How do I find the median if there are repeated values in the data set?

A: If there are repeated values in the data set, the median is the average of the two middle values. For example, if the data set is 2, 4, 6, 6, 8, 10, the median is the average of the two middle values, which are 6 and 6. The average of 6 and 6 is 6, so the median is 6.

Q: What is the difference between median and mode?

A: Median is the middle value of a data set when the values are arranged in order from smallest to largest. Mode is the value that appears most frequently in a data set. Median represents the typical or central value of a data set, while mode represents the most common or frequent value of a data set.

Conclusion

Now you know how to calculate the median and when to use it. Median is a useful measure of central tendency when there are extreme values or outliers in the data set. It is easy to understand and calculate, and it is not affected by extreme values or outliers. However, it may not be a representative measure of central tendency if the data set is skewed. If you have any questions, feel free to leave a comment below. Thank you for reading!

Cara Mengerjakan Median