Name:______________________________
Block:____________
IB Statistics Packet
Section 1: Descriptive Statistics Vocabulary
Nominal data – _______________________________________________________________________

What is an example of nominal data?
_____________________________________________________________________________________
_____________________________________________________________________________________
Ordinal data – ________________________________________________________________________

What is an example of ordinal data?
_____________________________________________________________________________________
_____________________________________________________________________________________
Interval data – ________________________________________________________________________

What is an example of interval data?
_____________________________________________________________________________________
_____________________________________________________________________________________
Ratio data – _________________________________________________________________________

What is an example of rational data?
_____________________________________________________________________________________
_____________________________________________________________________________________
Section 2: Types of Descriptive Statistics
1. Measures of Central Tendency
1. Mean - ____________________________________________________________________________
_____________________________________________________________________________________
Most useful for which type of data?
_____________________________________________________________________________________
2. Median – ___________________________________________________________________________
_____________________________________________________________________________________
Most useful for which type of data?
_____________________________________________________________________________________
3. Mode – ____________________________________________________________________________
_____________________________________________________________________________________
Most useful for which type of data?
_____________________________________________________________________________________
2. Measures of Variability (or Dispersion)
1. Range _____________________________________________________________________________
____________________________________________________________________________________
2. Variance____________________________________________________________________________
____________________________________________________________________________________
3. Variation ratio _______________________________________________________________________
____________________________________________________________________________________
4. Standard Deviation___________________________________________________________________
____________________________________________________________________________________
IA Statistics Activity Packet
Section 1
What type of data do you have?
Directions: What type of data is each example?
1. Gender ________________________
2. hair color ______________________
3. shoe size ______________________
4. height in inches __________________________
5. height of every student in class ranked from shortest to tallest ____________________
6. birth order _______________________
7. ring size _________________________
8. usual arrival time to school _______________________
Section 2:
Measures of Central Tendency
Directions: For the following set of scores, find the measures of central tendency
4, 2, 6, 3, 4.5, 2, 1, 4, 4, 4, 5, 5, 1, 2
1. Mean: _______________________
2. Median ______________________
3. Mode _______________________
4. Range _______________________
Section 3
Measures of Dispersion
Directions: For the same data set, calculate the Measures of dispersion. We will do this together!
1. Calculate the Variance. _________________
Formula for variance:
s2 = ∑D2
n –1
D is the difference between each individual score and the mean
n is the number of scores in the set
∑ - Tells you to ADD UP all of your “D” values
Show your work!
Step 1: Find ∑ D2 ______________
X (data number)
Step 2: Find ∑D2
n–1
x – mean score
D2
2. Find the Standard Deviation: _______________________
Formula for Standard Deviation
Toyf
You are finding the square root of the Variance
Show your work!
Formula for Variation Ratio:
F m = Number of cases in the mode
N = Number of data you have
3. For the following set of data, find the mode and variation ratio:
Do you like hamburgers?
Yes
No
Mode: _____________
Variation Ratio: ___________________
Show your work!
Number of answers
15
5
IA Statistics Formula Sheet
Formula for variance:
s2 = ∑D2
n –1
D is the difference between each individual score and the mean
n is the number of scores in the set
Formula for Standard Deviation:
You are finding the square root of the variance
Formula for Variation Ratio:
F m = Number of cases in the mode
N = Number of data you have
Name:__________________________
Block:_________
IA Statistics Class work
Directions: Use the following scores as your data set to answer the following questions. Be sure
to show all of your work
90,82,75,100,100,90,75,72,50,80,85
1. Find the:
Mean: _________________
Median: ________________
Mode:__________________
Range: _________________
2. Find the Standard Deviation ________________________
3. Find the Variance: ________________________
4. For the following data, find the mode:______________
Do you own a car?
Yes
No
Number of answers
20
10
5. Using the data from number 4, find the variation ratio. ____________________
6. Did the data from number 1 have a high or low variance? What does this tell you?
7. Did the data from number 4 have a high or low variance? What does this tell you?
Name:________________________________
Block:______________________
IA Statistics Homework
Directions: Use the following scores as your data set to answer the following questions. Be sure
to show all of your work
80,75,85,100,100,50,60,65,100,90
1. Find the:
Mean: _________________
Median: ________________
Mode:__________________
Range: _________________
2. Find the Standard Deviation ________________________
3. Find the Variance: ________________________
4. For the following data, find the mode:______________
Do you like chocolate or vanilla ice cream?
Chocolate
Vanilla
Number of answers
25
15
5. Using the data from number 4, find the variation ratio. ____________________
6. Did the data from number 1 have a high or low variance? What does this tell you?
7. Did the data from number 4 have a high or low variance? What does this tell you?
Name:________________________________
Block:_____________
IA Statistics Graphs
Types:
Bar Graph: _____________________________________________________________________
What can be compared?
______________________________________________________________________________
Histogram: ____________________________________________________________________
What can be compared?
______________________________________________________________________________
Bell Curve: _____________________________________________________________________
What can be compared?
______________________________________________________________________________
Name:____________________________________
Block:_________
Graphing Activity
Directions: For the following sets of data, create the correct graph.
1. For the following data, create 2 bar graphs comparing your results.
Descriptive Statistic
Mean
Variation
Control Group
5
10
Experimental Group
11
4
Which group has scores that are MORE CLOSELY clustered around he average? _____________
2. For the following data, create a frequency chart and histogram.
Scores on a test: 40,50,70,60,90,80,20,35
Sore
Frequency
3. For the following set of data, create a bell curve.
Scores on a test: 40,50,70,60,90,80,20,35
Mean:____________________
Standard Deviation: __________________
Name:____________________________________
Block:_________
Graphing Homework
Directions: For the following sets of data, create the correct graph.
1. For the following data, create 2 bar graphs comparing your results.
Descriptive Statistic
Mean
Variation
Control Group
20
7
Experimental Group
40
3
Which group has scores that are MORE CLOSELY clustered around he average? _____________
2. For the following data, create a frequency chart and histogram.
Scores on a test: 100,80,70,40,90,95,100
Sore
Frequency
3. For the following set of data, create a bell curve.
Scores on a test: 100,80,70,40,90,95,100
Mean:____________________
Standard Deviation: __________________