Answer:
Marina, Wuhan center, Zifeng Tower , Shangai Tower
Step-by-step explanation:
Using the z-scores of the Shangai tower and the Marina, we can calculate their heights
Mathematically, the z-score or standard score can be calculated as follows
Zscore = X - μ/σ
where σ and μ represents the standard deviation and the population mean respectively.
For Shaghai Tower ;
1.27 = (X - 1667.25)/318.31
318.31 × 1.27 = X - 1667.25
404.25 = X - 1667.25
X = 1667.25 + 404.25 = 2071.50
The height of the Shaghai Tower is 2071.50 feet
For Marina, we use the same procedure;
-0.84 = (X - 1667.25)/318.31
318.31 × -0.84 = X - 1667.25
-267.38 = X - 1667.25
X = 1667.25 - 267.38 = 1399.87
The height of Marina building is 1399.87
Listing the buildings' height in ascending order we have; Marina, Wuhan center, Zifeng Tower , Shangai Tower
The reasoning behind this can be mathematically explained in terms of the z-score. The standard score of the heights of the building give us an insight as to how tall the buildings can be.
Since they are in the same population i.e building heights, the higher the z-score, the higher the height of the building. A positive z-score indicates a height taller than the average while a negative z-score indicate a height lower than the average height which is the mean
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