If you happen to be viewing the article The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is ? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.
The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is
The sixth number is 24.
Let’s denote the sum of the first five numbers as S1, the sum of the last three numbers as S2, and the sum of all nine numbers as S.
Given:
Average of nine numbers is 50, so
S = 9 * 50 = 450.
Average of the first five numbers is 54, so
S1 = 5 * 54 = 270.
Average of the last three numbers is 52, so
S2 = 3 * 52 = 156.
Now, we know that:
S = S1 + S2 + sixth number
Substituting the given values:
450 = 270 + 156 + sixth number
sixth number = 450 – 270 – 156
sixth number = 24
So, the sixth number is 24.
What is an Average? How to Find the Average?
An average, also known as a mean, is a measure of central tendency used to summarize a set of data points by representing a typical value within that set. It’s calculated by adding up all the values in a data set and dividing the sum by the total number of values.
Article continues below advertisement
Article continues below advertisement
Here’s a step-by-step guide to finding the average:
-
Add Up the Values: Start by adding together all the values in the data set.
-
Count the Number of Values: Determine how many values are in the data set. This will be the total number of items you added together in step 1.
-
Divide the Sum by the Count: Divide the sum from step 1 by the count from step 2. This will give you the average.
For example, let’s say you have the following data set: 5, 8, 10, 12, 15.
- Add up all the values: 5 + 8 + 10 + 12 + 15 = 50.
- Count the number of values: There are 5 values in the data set.
- Divide the sum by the count: 50 ÷ 5 = 10.
So, the average of this data set is 10.
Keep in mind that while the average gives you a single value to represent the central tendency of your data, it may not always provide a complete picture, especially if there are outliers or if the data is skewed. In such cases, it can be helpful to also consider other measures of central tendency such as the median or mode.
Thank you so much for taking the time to read the article titled The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!
Source: Math Hello Kitty
Categories: Math
