Question

gebra i b-cr
the graph shows a distribution of data.
what is the variance of the data?
0.0625
0.25
0.5
1.5

Explanation:

Step1: Identify mean and standard deviation

For a normal distribution, the mean $\mu$ is the center (4), and the standard deviation $\sigma$ is the distance from mean to the first inflection point: $\sigma = 4 - 3.5 = 0.5$.

Step2: Calculate variance

Variance is the square of standard deviation: $\text{Variance} = \sigma^2$
$\text{Variance} = 0.5^2 = 0.25$

Answer:

0.25