Compute mean and standard deviation for the following data: 23, 34, 56, 54, 45, 67, 65, 78, 76, 87
To compute the mean and standard deviation for the given data set: 23, 34, 56, 54, 45, 67, 65, 78, 76, 87, follow these steps:
**Step 1: Calculate the Mean (Average)**
Mean (\(\mu\)) is calculated by summing up all the values and then dividing by the number of values.
\[
\begin{align*}
\mu &= \frac{23 + 34 + 56 + 54 + 45 + 67 + 65 + 78 + 76 + 87}{10} \\
&= \frac{655}{10} \\
&= 65.5
\end{align*}
\]
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