Detailed Explanation:
The correct answer is A. XmR.
The data described are weekly power consumption measurements taken over time for one building. This is continuous variable data, and each week appears to provide a single observed value. For this kind of time-sequenced individual measurement data, the appropriate control chart is an XmR chart (Individuals and Moving Range chart).
An XmR chart is used when:
the data are variable or continuous,
observations are taken one at a time,
and the goal is to monitor process stability over time.
Power consumption is a measured quantity, not a count of defects or nonconformities, so attribute charts are not appropriate.
Why the other options are incorrect:
B. np
An np chart is used for the number of defective units in a sample when the sample size remains constant. Weekly power consumption is not defective-unit count data.
C. u
A u chart is used for the number of nonconformities per unit when the area of opportunity or sample size may vary. This does not fit measured energy consumption data.
D. c
A c chart is used for the count of nonconformities when the opportunity size is constant. Again, this is for count data, not continuous measurement data.
From a Quality Management and Organizational Excellence perspective, the key principle is selecting the control chart that matches the type of data collected:
variable data use charts such as X-bar, R, S, or XmR,
attribute data use charts such as p, np, c, or u.
Because the organization is tracking one continuous value each week, the XmR chart is the most suitable tool. It allows the quality manager to determine whether variation in power consumption is due to common causes or whether unusual patterns suggest a special cause that should be investigated.