Math Problem Statement
0.55 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.12 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.05 1.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.45 1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45 1.60 1.80 4.69 0.08 7.89 1.58 1.65 0.03 0.23 0.72
calculate Σx and Σx2
Solution
To calculate the sum of (denoted as ) and the sum of (denoted as ), we'll perform the following steps:
1. Sum of ():
Add up all the values in the dataset.
2. Sum of ():
Square each value and then sum all the squared values.
I'll calculate both now.The sum of ( ) is approximately 62.16, and the sum of ( ) is approximately 164.42.
Would you like any more details or have further questions?
Here are some related questions you might consider:
- How are and used in statistical calculations?
- Can we compute the mean and variance based on these sums?
- How does squaring each value affect the interpretation of the data?
- How would the sums change if we added more values to the dataset?
- Can we visualize the distribution of the data values?
Tip: Summing is essential for calculating variance and standard deviation in statistics.
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Math Problem Analysis
Mathematical Concepts
Summation
Squared Values
Basic Statistics
Formulas
Σx = sum of all x values
Σx² = sum of the squares of x values
Theorems
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Suitable Grade Level
Grades 9-12