The probability distribution for the personality inventory test for passiveaggressive traits discussed in Example 2 is shown below. Find the variance and standard deviation of the probability distribution.

Data from Example 2

An industrial psychologist administered a personality inventory test for passive-aggressive traits to 150 employees. Each individual was given a whole number score from 1 to 5, where 1 is extremely passive and 5 is extremely aggressive. A score of 3 indicated neither trait. The results are shown at the left. Construct a probability distribution for the random variable x. Then graph the distribution using a histogram.

Transcribed Image Text:

Score, x 1 2 3 4 5 Probability, P(x) 0.16 0.22 0.28 0.20 0.14