Question

standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. let x represent the score on a randomly selected exam. the distribution of scores for one subjects standardized test is given in the table.
what is the mean of the distribution?
2.5
2.95
3
3.5

Explanation:

Step1: Calculate the product of score and probability

For score \(1\): \(1\times0.18 = 0.18\)
For score \(2\): \(2\times0.20=0.40\)
For score \(3\): \(3\times0.26 = 0.78\)
For score \(4\): \(4\times0.21=0.84\)
For score \(5\): \(5\times0.15 = 0.75\)

Step2: Sum up the products

$$
LATEXBLOCK0
$$

Answer:

\(2.95\)