Statistics

Tim Brzezinski, Feb 21, 2022

Here, a growing volume of statistics resources.

Table of Contents

  1. Stem and Leaf Plot
    1. Stem and Leaf Plot: Quick Illustrator
  2. Mean, Median, Mode
    1. Mean, Median, Mode, Range: Quick Check
    2. Open Middle: Basic Statistics Exercise (1)
  3. Two Way Tables
    1. Open Middle: Two Way Table Setups
    2. Open Middle: Two Way Table (2)
    3. Open Middle: Two Way Table (3)
  4. Histograms
    1. Modifiable Histogram
    2. Histogram: Warm Up Exercises (1)
    3. Histogram: Warm Up Exercises (2)
    4. Frequency vs. Relative Frequency Histograms
    5. Open Middle Histogram Exercise (1)
    6. Open Middle Histogram Exercise (2)
  5. Standard Deviation
    1. Standard Deviation Intro
    2. Unusual Values and Outliers
  6. Box and Whisker
    1. Open Middle: Basic Statistics Exercise (2)
    2. Box and Whisker Plot: What Do You Notice?
    3. Box and Whisker: Quick Construction Exercises

1.

Stem and Leaf Plot

  • 1. Stem and Leaf Plot: Quick Illustrator

1.1.

Stem and Leaf Plot: Quick Illustrator

Edit the list below as much as you'd like!
Change the data elements in the set to other two digit numbers. [br]Be sure to watch the stem-and-leaf plot change as you do. [br][br][b]How do we interpret a stem-and-leaf plot? What else does it help tell us? [/b]
– Tim Brzezinski

2.

Mean, Median, Mode

  • 1. Mean, Median, Mode, Range: Quick Check
  • 2. Open Middle: Basic Statistics Exercise (1)

2.1.

Mean, Median, Mode, Range: Quick Check

In the app below, a data set is displayed.[br][list][*]Enter the [b]mean[/b] of this data set. If necessary, round your answer to the nearest 0.01. [/*][*]Enter the [b]median[/b] of this data set. [/*][*]Enter any [b]mode(s)[/b] this data set may have. If no mode exists, check the [b]no mode[/b] box. If more than one mode exists, separate these values using a comma. [/*][*]Enter the [b]range[/b] of this data set. [/*][/list]
– Tim Brzezinski

2.2.

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3.

Two Way Tables

  • 1. Open Middle: Two Way Table Setups
  • 2. Open Middle: Two Way Table (2)
  • 3. Open Middle: Two Way Table (3)

3.1.

Open Middle: Two Way Table Setups

Using digits 0-9, fill in the boxes to create a two-way table below. Design this table so that NO DIGIT REPEATS MORE THAN 3 TIMES.
Using digits 0-9, fill in the boxes to create another two-way table that is entirely different from your setup above. Design this table so that NO DIGIT REPEATS MORE THAN 3 TIMES.
Using digits 0-9, fill in the boxes to create another two-way table that is entirely different from your two tables above. Design this table so that NO DIGIT REPEATS MORE THAN 3 TIMES.
– Tim Brzezinski

3.2.

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3.3.

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4.

Histograms

  • 1. Modifiable Histogram
  • 2. Histogram: Warm Up Exercises (1)
  • 3. Histogram: Warm Up Exercises (2)
  • 4. Frequency vs. Relative Frequency Histograms
  • 5. Open Middle Histogram Exercise (1)
  • 6. Open Middle Histogram Exercise (2)

4.1.

Modifiable Histogram

For illustrative purposes. Move the LARGE BLACK POINTS up and down to change the histogram.
– Tim Brzezinski

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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5.

Standard Deviation

  • 1. Standard Deviation Intro
  • 2. Unusual Values and Outliers

5.1.

Standard Deviation Intro

Note the data set of 15 points shown below. The length of either pink arrow is said to be the STANDARD DEVIATION of this data set. Mess around with this app below for a few minutes. Then answer the questions that follow.
Was it ever possible to get all 15 points INSIDE the two vertical boundary lines?
What happens when we cluster 13-14 of these points close together and leave the other 1-2 far away from this cluster?
Without Googling, what do [i]you [/i]think the [b][color=#ff00ff]standard deviation[/color][/b] of a data set tells us?
Quick (silent) demo
– Tim Brzezinski

5.2.

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6.

Box and Whisker

  • 1. Open Middle: Basic Statistics Exercise (2)
  • 2. Box and Whisker Plot: What Do You Notice?
  • 3. Box and Whisker: Quick Construction Exercises

6.1.

Open Middle: Basic Statistics Exercise (2)

Your task:
[size=150][b]Note: IQR = interquartile range[/b][/size]
Start by entering at least five data values in your data set below. When doing so, be sure to separate these values using COMMAS. Example: data set = 34, 45, 45, 67, 78
Create another valid setup that's ENTIRELY DIFFERENT from the one you made above. Make sure your data set HAS AT LEAST 5 VALUES!
Create a data set WITH ONLY 5 VALUES that satisfies the constraints of this problem. Yet this time, try to make the IQR as HIGH as you possibly can. What IS this value?
Create a data set WITH ONLY 5 VALUES that satisfies the constraints of this problem. Yet this time, try to make the IQR as LOW as you possibly can. What IS this value?
– Tim Brzezinski

6.2.

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6.3.

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