Question

describe the shape of the histogram. skewed right skewed left roughly symmetric find the mean. μ = 4.55 find the variance. σ² = 1.4124 find the standard deviation. round to four decimal places, if necessary. σ = 1.1884

Explanation:

Step1: Identify shape from histogram

In a right - skewed distribution, the tail extends to the right. Here, the tail of the histogram extends to the right, so it is skewed right.

Step2: Recall mean formula for discrete data

For a discrete random variable \(x\) with probabilities \(P(x)\), the mean \(\mu=\sum xP(x)\). But since we are not given the probabilities, we assume we should analyze the visual shape for the initial part.

Step3: Recall variance formula

The variance \(\sigma^{2}=\sum(x - \mu)^{2}P(x)\). Without probabilities, we focus on the shape - related answer first.

Step4: Recall standard deviation formula

The standard deviation \(\sigma=\sqrt{\sigma^{2}}\).

Answer:

Describe the shape of the histogram: Skewed right
Find the mean: (Insufficient data to calculate precisely from the given image)
Find the variance: (Insufficient data to calculate precisely from the given image)
Find the standard deviation: (Insufficient data to calculate precisely from the given image)