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find the mean for this list of numbers
mean =
Step1: Find the sum of all numbers
Add all the numbers in the list:
\(69 + 68+42 + 96+21 + 43+35 + 89+83 + 58+80 + 79+73 + 64+55\)
\(=69+68 = 137\); \(137+42=179\); \(179 + 96=275\); \(275+21 = 296\); \(296+43=339\); \(339+35 = 374\); \(374+89=463\); \(463+83 = 546\); \(546+58=604\); \(604+80 = 684\); \(684+79=763\); \(763+73 = 836\); \(836+64=900\); \(900+55 = 955\)
Step2: Count the number of elements
Count the number of numbers in the list. There are \(15\) numbers.
Step3: Calculate the mean
The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(\sum_{i=1}^{n}x_{i}\) is the sum of the data and \(n\) is the number of data points.
So, the mean \(\bar{x}=\frac{955}{15}\approx63.67\)
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\(63.67\)