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.

Answer

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Answer

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

Steps

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: \(\frac{24.8 + 23.2 + 26.4 + 20.6 + 23.0}{5} = \boxed{23.6}\)