Name: __________________________________Date: ____________________ Block: 1
4
7
# 1 - 10 Use the following data set to answer the questions.
16, 4, 12, 12, 4, 7, 21, 8, 6
1. What is the mean?
3. What is the mode?
2. What is the median?
4. What is the standard deviation?
5. Create a box and whisker plot:
6. What would happen to the mean if I added a data point less than 10?
7. What would happen to the mean if I added a data point more than 10?
8. What number do I have to add to the data set in order to increase the mean
to 12?
9. If each of the data points were doubled, what would the new mean and
standard deviations be? Compare this to the original mean and standard
deviation.
10. If each of the data points were increased by 6, what would the new mean and
standard deviations be? Compare this to the original mean and standard
deviation.
# 11 – 16 Use the following mean and standard deviation to answer the questions.
Round your answers to the nearest tenth.
  78
  3.4
11. What is the z–score of 67?
12. What is the z–score of 89?
13. Compare your answers from # 11 and 12. Why are they similar/different?
14. What is the z – score of 78? Why did you get this answer?
15. What is the z – score of 100?
16. What number will have a z – score of 5?
17. Keith was using a different data set that had a mean of 18. He found that the
z-score of 12 was 4 . What is the standard deviation of Keith’s data set?
18. The following table shows Frank’s test scores on six different scales of an
aptitude test.

Test
Mean
Score
Z-Score
Clerical Ability
50
15
41
Logical Reasoning
40
4
47
Mechanical Ability
120
25
100
Numerical Reasoning
100
10
105
Spatial Relations
70
20
90
Verbal Fluency
60
6
70
a) Calculate the z-scores for each.
b) On which test did Frank score the best? Which did Frank score the worst?