Question

Rainforest data: mean = 7  σ2 = 12.405  σ ≈ 3.522 when using the formula zx = x − μ σ for the z-score for the 11.7 data point: x = ; μ =

Answer 1

Mean B =μ= 7

Standard Deviation =A=σ ≈ 3.522

Variance =σ²=12.405

X=Score=Data Point=11.7

`As, Z=(X- B)/(A)`

z-score for the Score 11.7

`=(11.7-7)/(3.522)\\\\=(4.7)/(3.522)\\\\Z=1.3344`

Answer 2

The z-score for the data point x = 11.7 is approximately 1.3345.

Let's calculate the z-score (z) for the data point x = 11.7 using the formula z = (x - μ) / σ:

Given:

x = 11.7 (data point)

μ = 7 (mean)

σ ≈ 3.522 (standard deviation)

Plugging in the values:

z = (11.7 - 7) / 3.522 ≈ 1.3345

Therefore, the z-score for the data point x = 11.7 is approximately 1.3345.