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 subject’s standardized test is given in the table.

A 2-column table with 5 rows. Column 1 is labeled score with entries 1, 2, 3, 4, 5. Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.

What is the mean of the distribution?

2.5
2.95
3
3.5

Answers

Answer 1

Answer:

The center for the distribution of scores appears to be higher for subject B than for subject A.

Answer 2

The mean of the distribution when  X represent the score on a randomly selected exam so here the mean be like 2.95.

Calculation of the mean:

Since

Column 1 is labeled score with entries 1, 2, 3, 4, 5.

Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.

So it be like

= (0.18) (1) + (0.20) (2) + (0.26) (3) + (0.21) (4) + (0.15) (5)

= 0.18 + 0.40 + 0.78 + 0.84 + 0.75

= 2.95

Hence, the third option is correct.

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