An auditor tabulates the days taken to close corrective actions: \begin{array}{c|c} \hline \textbf{Days} & \textbf{Frequency} \\ \hline 1 & 1 \\ 2 & 6 \\ 3 & 10 \\ 4 & 6 \\ 5 & 3 \\ 15 & 2 \\ \hline \end{array} Which statement about this distribution is correct?

The mean exceeds the median because of the two long closures

The mean and the median are equal in a distribution of this shape

The median exceeds the mean because most values are small

The mode is the measure most affected by the two long closures

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Q1.An auditor tabulates the days taken to close corrective actions:

$\begin{array}{c|c} \hline \textbf{Days} & \textbf{Frequency} \\ \hline 1 & 1 \\ 2 & 6 \\ 3 & 10 \\ 4 & 6 \\ 5 & 3 \\ 15 & 2 \\ \hline \end{array}$

Which statement about this distribution is correct?
- A.The mean and the median are equal in a distribution of this shape
- B.The median exceeds the mean because most values are small
- C.The mode is the measure most affected by the two long closures
- D.The mean exceeds the median because of the two long closures✓ Correct answer
Explanation
The two closures at $15$ days pull the mean up to $4.0$ while the median stays at $3.0$ , which is the signature of a right-skewed distribution. The mode is the least affected of the three measures, since it depends only on which value occurs most often and stays at $3$ .
Reference: CQA BoK V

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