Question

They found the average of length of all cars in the parking lot, which is 15 ft. The standard deviation is 2 ft. A car pulls into the parking lot a Mercedes-Benz GLE with a length of 16 ft. what is the z-score of this vehicle?​

Answer 1

The z-score of the Mercedes-Benz GLE with a length of 16 ft is 0.5.

Step-by-step explanation:

To find the z-score of the Mercedes-Benz GLE with a length of 16 ft, we will use the formula: z = (x - μ) / σ, where x is the value of the car's length, μ is the mean length of all cars, and σ is the standard deviation. In this case, x = 16 ft, μ = 15 ft, and σ = 2 ft.

Substituting these values into the formula:

z = (16 - 15) / 2

z = 1 / 2

z = 0.5

So, the z-score of the Mercedes-Benz GLE is 0.5.