Fullerton College Statistics Worksheet

Show your work on pages 100 – 102 of your packet (you must do the problems exactly how you were shown in the lecture). SHOW A GRAPH FOR EACH PROBLEM 1 – 12!

Name
Assignment #6:
SHOW AN INDIVIDUAL GRAPH FOR EACH PROBLEM.
1. Find the percentage of cases that fall between the mean and a z score of.70.
Sketch:
Answer
2. Find the percentage of cases that fall between the mean and a z score of -.09.
Sketch:
besoro
Answer
3. Find the percentage of cases falling above a z score of 1.25.
Sketch:
Answer
4. Find the percentage of cases that fall below a z score of -.86.
Sketch:
dis
Answer
5. Find the percentage of cases that fall below a z score of 1.39.
Sketch:
Answer
6. Find the percentage of cases falling above a z score of -1.65.
Sketch:
Answer
100
7. Find the percentage of cases that fall below a z score of .13.
Sketch:
Answer
8. Find the percentage of cases that fall below a z score of -1.96.
Sketch:
Answer
9. Find the percentage of cases falling above a z score of 1.33.
Sketch:
bove
nd
tion
Answer
10. Find the percentage of cases falling above a z score of -.19.
Sketch:
under
Answer
11. Find the percentage of cases falling between a z score of -1.52 and a z of .15.
Sketch:
Non sbobo
Answer
12. Find the percentage of cases falling between a z score of -2.50 and a z of 1.65.
Sketch;
Answer
101
Lecture #7 – The Practical Applications of z-scores
13. Is “50th percentile” the same thing as “50%”? (see lecture 5 to review percentiles)
14. On a normal distribution, at what percentile must the mean fall?
15. On a normal distribution, at what percentile must the median fall?
16. On a normal distribution, at what percentile must the mode fall?
17. On a normal distribution, what percentage of scores fall below the mean?
18. On a normal distribution, what percentage of scores fall within +1 SD from the mean?
19. On a normal distribution, what percentage of scores fall within #2 SD from the mean?
20. On a normal distribution, what percentage of scores fall within +3 SD from the mean?
a
21. What are two different names for the rule referenced in the above 3 questions?
and
22. A positive z score always yields a percentile rank above
23. A negative z score always yields a percentile rank below
24. A negative z score always indicates that the raw score is below the
25. Between z scores of
under the normal curve can be found almost the entire
distribution.
26. A z score of always indicates that the raw score coincides with the mean.
The following are all FALSE. State why it is false and/or correct the statement.
27. In a normal distribution, it is sometimes possible for the mean to occur above the 50th
percentile.
28. Normal distributions may be bimodal.
29. Normal distributions are platykurtic.
a
30. The mean may be a larger value than the median in a normal distribution.
31. In a normal curve, there are more positive z scores than there are negative z scores.
32. The tails of the normal curve cross the X axis.
102