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Difficulty: EasyMulti-Statement Boolean Evaluation

The table below details the quarterly electricity consumption (in kWh) for six regional branches of a commercial enterprise:

BranchRegionQ1 (kWh)Q2 (kWh)Q3 (kWh)Q4 (kWh)
AlphaNorth12,00014,00015,00011,000
BetaSouth18,00016,00017,00019,000
GammaNorth9,00010,00011,00010,000
DeltaEast22,00025,00024,00021,000
EpsilonWest15,00015,00016,00014,000
ZetaSouth11,00013,00012,00012,000

Based on the table, evaluate the following statement:
"The median Q1 electricity consumption of branches in the North region is greater than the median Q1 electricity consumption of branches in the South region."

Is this statement True or False?

Answer: Answer

Answer

The statement is False. The median Q1 electricity consumption for branches in the North region (10,500 kWh10,500\text{ kWh}) is less than the median Q1 electricity consumption for branches in the South region (14,500 kWh14,500\text{ kWh}).
The evaluation shows that the median Q1 value for the North region (10,500 kWh10,500\text{ kWh}) is strictly less than the median Q1 value for the South region (14,500 kWh14,500\text{ kWh}). Therefore, the assertion that North is greater than South evaluates to False.

Step-by-Step Solution

1
Identify Q1 consumption figures for branches in the North region and calculate their median.
Branches in the North region are Alpha (12,000 kWh12,000\text{ kWh}) and Gamma (9,000 kWh9,000\text{ kWh}). The median is 12,000+9,0002=10,500 kWh\frac{12,000 + 9,000}{2} = 10,500\text{ kWh}.
Filtering rows by the condition 'Region = North' isolates the correct values for statistical evaluation.
2
Identify Q1 consumption figures for branches in the South region and calculate their median.
Branches in the South region are Beta (18,000 kWh18,000\text{ kWh}) and Zeta (11,000 kWh11,000\text{ kWh}). The median is 18,000+11,0002=14,500 kWh\frac{18,000 + 11,000}{2} = 14,500\text{ kWh}.
Filtering rows by the condition 'Region = South' isolates the comparison dataset.
3
Compare the two median values to evaluate the boolean statement.
Comparing 10,500 kWh10,500\text{ kWh} to 14,500 kWh14,500\text{ kWh} shows that 10,500<14,50010,500 < 14,500, making the statement false.
The statement claims North is greater than South, which contradicts the calculated result.

Key Concept

Filtered subset descriptive statistics comparison
Estimated Time:1m 0s
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Topics

Multi-Statement Boolean Evaluation

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