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Zorluk: KolayDescriptive Statistics Interpretation

The table below provides operational data for eight solar power facilities across two regions:

Facility NameRegionCapacity (MW)Operational Efficiency (%)
Solaria AlphaNorth12088
Solaria BetaSouth15091
Solaria GammaNorth20097
Solaria DeltaNorth11082
Solaria EpsilonSouth18089
Solaria ZetaNorth13592
Solaria EtaNorth16094
Solaria ThetaNorth14085

What is the median operational efficiency, in percent, of the solar power facilities located in the North region?

Cevap: 90 %

Cevap

The median operational efficiency of the solar power facilities in the North region is 90%.
Filtering the table for facilities in the North region yields six efficiency values: 82%, 85%, 88%, 92%, 94%, and 97%. Because the dataset contains an even count of six values, the median is the average of the two middle values (88% and 92%). Calculating 88+922\frac{88 + 92}{2} gives 90%.

Adım Adım Çözüm

1
Filter the table to isolate facilities in the North region.
Identified 6 facilities with operational efficiency values: 88%, 97%, 82%, 92%, 94%, and 85%.
The stem specifies evaluating descriptive statistics for the North region subset only.
2
Sort the efficiency values of the filtered subset in ascending order.
Ordered set: {82, 85, 88, 92, 94, 97}.
Calculating the median requires ordering data points from lowest to highest.
3
Compute the arithmetic mean of the two central terms in the 6-element dataset.
88+922=90\frac{88 + 92}{2} = 90.
For an even-count set of N=6N = 6 items, the median is defined as the average of the N2\frac{N}{2}-th (3rd) and (N2+1)(\frac{N}{2} + 1)-th (4th) terms.

Anahtar Kavram

Descriptive Statistics Interpretation (Median of Even-Count Subsets)
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Konular

Descriptive Statistics Interpretation

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