4. Finding Median (Odd Set of Numbers)

Statistics Review

Directions: Define fully. Show work. Neat and complete. Make sure answers are obvious, in the right place, and have the correct units.

Define:

1. Statistical question:

2. Mean:

3. Median:

4. Finding median (odd set of numbers):

5. Finding median (even set of numbers):

6. Mode:

7. Measures of variation:

8. Quartile:

9. First quartile:

10. Third quartile:

11. Range:

12. Outlier (and its formula!):

13. Mean Absolute Deviation (MAD) + the 3 steps to finding it: 14. Line plot (or dot plot) + the 3 steps to finding it:

15. Histogram + the important 3 bits of info on page 872 in the little bubbles:

16. The 3 steps to creating a histogram:

17. Box plot + the 3 steps to finding it:

18. Find the mean, median, mode of this set of numbers:

Arrange the numbers in order here: ______

Mean equation: ______

Median (+equation, if needed): ______

Mode: _____

19. Find the mean, median, mode, first quartile (Q1), third quartile (Q3), IQR, Range, and lower and upper outliers:

Mode: _____ Q1: _____ Q3: _____ Range (+formula): ______

IQR (+formula): ______IRQ x 1.5 = ______

Low outlier (+formula): ______High outlier (+formula): ______20. Find the MAD of the following set of data:

* Mean equation: ______

* All seven equations for the diff. between each data value and the mean:

______- _____ = ______- _____ = ______- _____ = _____

______- _____ = _____

* Formula and data of the average of the absolute values of the diff. between each value and the mean:

______= ______

21. Make a line plot (dot plot) of the following data:

22. Find the mean, median, mode, and range of this line plot:

Mode: _____ Range (+ formula): ______23. Using the data table, construct a frequency table (showing the interval, tallies, and frequencies), and then create a histogram. (Do not forget the important info in the bubbles on page 872!)

24. Create box and whisker plots for the following data:

a. (32, 40, 51, 33, 36, 44, 47, 50, 35)

b. (78, 80, 66, 64, 82, 75, 74)

c. (95, 110, 101, 106, 117, 99, 111, 98)