Lesson # 6- Activity # 1 Discovering Measures of Central Tendency

In a set of data we have what we call the Measures of Central Tendency. In this activity you will discover the Measures of Central Tendency.

The table shows the leading scorers and the number of points they scored in the past 10 Stanley Cup Playoffs.

Year Player, Team Total Points
2000-01 Joe Sakic, Colorado 26
1999-00 Brett Hull, Dallas 24
1998-99 Peter Forsberg, Colorado 24
1997-98 Steve Yzerman, Detroit 24
1996-97 Eric Lindros, Philadelphia 26
1995-96 Joe Sakic, Colorado 34
1994-95 Sergei Fedorov, Detroit 24
1993-94 Brian Leetch, NY Rangers 34
1992-93 Wayne Gretzky, Los Angeles 40
1991-92 Mario Lemieux, Pittsburgh 34

 

1. Calculate the Average of points score over the past five years in the Stanley Cup Playoffs.

2. The middle number in an arranged set of numbers is referred to as the Median. In the following set of data what is the Median

1, 4, 9, 15, 20

4
 9
15
20

Median with an even number set of data.

Suppose that you were given the same set of data as in the above question. 1,4,9,15,20. If the number 8 was added to the set of data, it would change the Median.

E.g.. 1,4,9,8,15,20

There are now two middle numbers, 8 and 9.

The new median is now the average of these two numbers.

8+9 = 17 divided by 2 = 8.5

 

3. Find the Median.

a) 36, 40, 41, 50, 52

b) 18, 19, 25, 29, 49, 50

 

4. For the following set of data:

23, 24, 26, 26, 29, 30, 30, 30, 35

Which number occurs most often?

 

5. Match the following terms of central tendency with the correct definition by sliding the correct term over the definition.

 

Mean

 

Mode

 

Median

The number that appears most often in a set of numbers.
The middle number in a set of numbers.
The average of a set of numbers.

 

 

 

 

 

 

 

 

 

 

 

 

6. What is the Mode for the following set of data.

2, 4, 4, 4, 5, 5, 5, 5, 5, 9, 8, 8, 8 ,8,8, 10, 10, 10, 19, 19

7. In your notebook, write an explanation on how to determine Mean, Median and Mode from a set of numbers. Use examples in your explanation.

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