Question

1. The scores on a given test for ten students were as follows:

                        20, 15, 18, 38, 42, 51, 23, 26, 20, 11

• Find the mean.
• Find the median.
• Find the mode.
• Find the midrange.

• Find Q1

• Find P60

• Find the percentile rank for the score 38.

• Find the range.

2. Find the sample variance of the test scores. (Show work by hand to receive credit!)

3. Construct a box plot using the test score data.

4. Construct a frequency distribution with 6 classes. (Label class limits, boundaries, f, cf, rf, crf)

5. Construct a histogram for the test scores using relative frequencies.

  

6. The probability of a teenager owning a surfboard is .43, owning a skateboard is .38, and owning both is .28 If a teenager is selected at random, find the probability that he or she owns a surfboard or a skateboard.

7. In a class consisting of 15 men and 12 women, two homework papers were selected at random. Find the probability that both papers belong to women.

8. An urn contains 6 red balls, 2 green balls, 1 blue ball, and 1 white ball. If a ball is drawn, find the probability of getting a red or white ball.

9. 88% of American children are covered by health insurance. If four children are selected at random, find the probability that none are covered.

10. If a die is rolled 5 times, find the probability of getting at least one 6.

11. Which score has the best relative position?

A) 3.2 where sample mean is 4.6 and s is 1.5

B) 630 where sample mean is 800 and s is 200

C) 43 where sample mean is 50 and s is 5

Answer 1