One week, Park Street's revenues were $7500, which was the 15th highest revenue recorded for that restaurant. In the same week, Bridge Road's revenue was $7100, the 12th highest for that restaurant. Use percentiles and z-scores to compare how successful each restaurant was that week, relative to their typical weekly revenue.

The percentile rank for Park Street's revenues for the week is 60th.

The percentile rank for Bridge Road's revenues for the week is 73rd

Step-by-step explanation:

Given data:

Park street revenue = $7,500

Mean = 6611

SD = 3580

N = 36

Bridge road revenue = $7,100

Mean = 5989

SD = 1794

N = 40

Solution:

where X = observation, µ = mean, σ = standard deviation.

Zscore = (X – µ) /σ

For Parker street

Zscore = (X – µ) /σ

= 7500 – 6611 / 3580

= 0.25

Percentile rank

P(Z < 0.25 ) = 0.5987

= 60%

Percentile rank for the week is 60%

For Bridge road

Zscore = (X – µ) /σ

= 7100 – 5989/ 1794

= 0.62

Percentile rank

P(Z < 0.62) = 0.7324

= 73%

Percentile rank for the week is 73%

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