Statistics Quiz Study Guide
Algebra
Name:______________________
Use your formula sheet and the calculator to help you calculate the information necessary to answer
each question.
1.
Find the mean and standard deviation for the set of values: 56, 57, 94, 88, 67, 33, 45, 46
 =_______________
 =_______________
2. Find the variance for the set of numbers: 88, 77, 65, 70, 65, 72, 95, 80, 106, 68
3. If 30 is 2 standard deviations below the mean and the standard deviation is 1.2, what is the
mean?
 = _______________
4.
The class average on a math test was 85.7 and the standard deviation was 4. Find the z-score
for a test score of 96.
Z-score = _____________
5. What can be said about a set of data when …
a. The variance and standard deviation equals zero? _________________________
b. The variance and standard deviation are small? ___________________________
c. The variance and standard deviation are large? ___________________________
d. The Z-score for a data element is -1.5? __________________________________
e. The Z-score for a data element is +3?_________________________________
6. The standard deviation of a normally distributed data set is 40. If 180 is 2 standard deviations
above the average value of the set, what is the value of the mean?
7. Calculate the Mean Absolute Deviation (MAD) for the following computer hard drive storage
capacities: 640, 250, 500, 640, 720, 640, 250, 720
Mean absolute deviation =_______________
8. Mrs. Brannon likes to incubate eggs. She made her own incubator and used a light bulb as her
heat source. She needs to have a reliable heat source because if the light bulb burns out
unexpectedly the eggs will not hatch. She tested a sample of 10 GE bulbs and 10 Sylvania bulbs
and got the following results
GE Bulbs (hrs lasted)
Sylvania Bulbs (hrs lasted)
5006
4866
3500
6001
5122
4884
4560
5424
4130
4779
4125
4456
4910
4730
4321
4227
4568
4721
4988
4154
Create a Box and Whisker plot of the data, and calculate the mean and standard deviation to help you
answer the following questions.
Which brand of light bulb had the longest average life?
Brand _________________ because __________________________________________________
Which brand is the most reliable? Justify your answer with data.
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
How many bulbs were within one standard deviation of the mean for each of the brands?
GE ________________ Sylvania ______________________
9. The box-and-whisker plot shows the weekly earnings($) of two different workers. Which of the following
statements is true for the data?
a.
Lower quartile of Worker B is equal to the median of Worker A.
b.
Median of Worker B is greater than median of Worker A.
c.
Range of Worker A is greater than the range of Worker B.
d.
Median of the data is same for both the workers.
10. The box-and-whisker plot shows the weekly practice hours of two baseball teams. Which of the following
statements are true?
a.
Average median practice hours for Team B is greater than Team A.
b.
Average median practice hours are same for both the teams.
c.
Upper quartile for Team A is less than the median of Team B
d.
Average median practice hours for Team A is greater than Team B.