Question
What is the mean for them following data set? \[ 2,14,5,16,8,17,11,9,10 \]
Ask by Grant Washington. in Australia
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The mean of the data set is approximately 10.22.
Solution
To find the mean of the given data set, we need to add up all the numbers and then divide by the total number of values.
Given data set: \[ 2, 14, 5, 16, 8, 17, 11, 9, 10 \]
First, let's add up all the numbers:
\[ 2 + 14 + 5 + 16 + 8 + 17 + 11 + 9 + 10 = 92 \]
Next, we divide the sum by the total number of values, which is 9:
\[ \frac{92}{9} \]
Let's calculate the mean.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{92}{9}\)
The mean of the given data set is \(10\frac{2}{9}\) or approximately 10.22.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find the mean of the data set \(2, 14, 5, 16, 8, 17, 11, 9, 10\), you first add all the numbers together, which gives you 92. Then, you divide the total (92) by the number of values in the set, which is 9. So, the mean is \( \frac{92}{9} \approx 10.22\). Now you’re a mean machine! Understanding the mean can not only help you analyze data but also enhance decision-making in various fields, like business and science. When you know the average, you can better understand where specific data points fall in relation to the overall picture!