\( \overline { x } = \frac { \Sigma x } { n } = \frac { 3562 } { 35 } = \)
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Beyond the Answer
To calculate \( \overline { x } \), you simply divide the sum of the values, which is \( 3562 \), by the number of values, \( 35 \). Performing the division gives you \( \overline { x } = 101.77 \) (rounded to two decimal places). This is the average of the set of data you are working with! Calculating the average is not just about crunching numbers. It’s about gaining insights! In real-world scenarios, finding the average can help businesses understand sales trends, gauge employee performance, or even set academic benchmarks. So, whether you're analyzing data for your company or helping a friend with their studies, knowing how to compute and interpret the average can be a game changer!
