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?

______

  1. 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 ______
  1. hair color ______
  1. shoe size ______
  1. height in inches ______
  1. height of every student in class ranked from shortest to tallest ______
  1. birth order ______
  1. ring size ______
  1. 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: ______
  1. Median ______
  1. Mode ______
  1. 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)x – mean scoreD2

Step 2: Find ∑D2

n – 1

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? / Number of answers
Yes / 15
No / 5

Mode: ______

Variation Ratio: ______

Show your work!

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? / Number of answers
Yes / 20
No / 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? / Number of answers
Chocolate / 25
Vanilla / 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 / Control Group / Experimental Group
Mean / 5 / 11
Variation / 10 / 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 / Control Group / Experimental Group
Mean / 20 / 40
Variation / 7 / 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: ______