Question

describe the shape of the histogram.
skewed right
skewed left
roughly symmetric
find the mean.
μ = 5
find the variance.
σ² = 1.12
find the standard deviation. round to four decimal places.
σ = 1.0583

Explanation:

Step1: Analyze histogram shape

The tail of the histogram extends to the left, so it is skewed left.

Step2: Calculate mean (assuming we had data points and frequencies, since value given is 5 we'll note it as provided)

No calculation shown as value $\mu = 5$ is already given.

Step3: Calculate variance (assuming we had data points and frequencies, since value given is 1.12 we'll note it as provided)

No calculation shown as value $\sigma^{2}=1.12$ is already given.

Step4: Calculate standard - deviation

The standard deviation $\sigma$ is the square - root of the variance. Given $\sigma^{2}=1.12$, then $\sigma=\sqrt{1.12}\approx1.0583$.

Answer:

Shape: Skewed left
$\mu = 5$
$\sigma^{2}=1.12$
$\sigma = 1.0583$