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# Ungrouped Data to Find the Mean

## Finding mean by (sum of products of value and frequency) divided by the sum of the frequencies or by using the TI calculator

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Ungrouped Data to Find the Mean
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## Trends in Birth Months of Soccer Players

### Topic

Trends in Birth Months of Soccer Players

### Vocabulary

• Mean
• Ungrouped Data
• Frequency Distribution Table
• Mode
• Median
• Range
• Measure of central tendency
• Bar graph

### Student Exploration

#### Are there trends in the birth months of professional soccer players?

A soccer ball.

Choose a soccer team from the European Premier Soccer League (the highest level of professional soccer in Europe), http://uk.eurosport.yahoo.com/football/premier-league/teams.html. A couple of the more popular teams are Barcelona, Manchester City, Real Madrid, and Chelsea; just to name a few. At the website above, choose a team and then go to “squad” and a list of the players on the team will appear. In this form the data is list and is in ungrouped form.

1. From here create a frequency distribution table for each month (January through December) and tally the number of players born in each month.
2. Then calculate the mean number of players born in a given month.

Soccer player.

### Extension Investigation

Let investigate the birth months more to determine if there is a trend!

1. What is the mode number of players born in a given month?
2. What is the median number of players born in a given month?
3. What is the range of for the number of players born in a given month?
4. What measure of central tendency do you think is the most useful for analyzing the birth month of professional soccer players? Explain.
5. What trends do you notice in the birth months of professional soccer players? Explain.
6. Give a hypothesis for the reason that the trends exist! Explain.

Further extension: create a bar graph to represent the number of players born in each month. Scan or upload your graph to the CK-12 website!

### Connections to other CK-12 Subject Areas

• Mean
• Mean of Grouped Data
• Measures of Central Tendency and Dispersion
• Mode
• Median
• Bar Graph

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