Problem

Here is a set of data. \begin{tabular}{lll|l|l} 2.4 & 1.6 & 3.2 & 0.3 & 1.5 \end{tabular} a) Calculate the mean. b) Each piece of data is increased by 10. Calculate the new mean. c) Each new piece of data is now doubled. Calculate the new mean.

Solution

Step 1 :Calculate the mean of the given data set: \(\frac{2.4 + 1.6 + 3.2 + 0.3 + 1.5}{5} = \boxed{1.8}\)

Step 2 :Add 10 to each data point: \(12.4, 11.6, 13.2, 10.3, 11.5\)

Step 3 :Calculate the new mean: \(\frac{12.4 + 11.6 + 13.2 + 10.3 + 11.5}{5} = \boxed{11.8}\)

Step 4 :Double each new data point: \(24.8, 23.2, 26.4, 20.6, 23.0\)

Step 5 :Calculate the final mean: \(\frac{24.8 + 23.2 + 26.4 + 20.6 + 23.0}{5} = \boxed{23.6}\)

From Solvely APP
Source: https://solvelyapp.com/problems/30680/

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