MEASURES OF CENTRAL TENDENCY

 

 

You are to work through the slide show and answer the questions as you go along.  This exercise is not a race but a learning process, so take your time and make sure that you understand each slide.

 

 

Slides

 

 

Questions

 

Answers

31 – 32

What do you understand by the term ‘central tendency’?

  
32

Give three examples of measures of central tendency.

1.

  

2.

 

3.
32 – 41

Show how to calculate a value from the data below, for each of the three measures that you have given above.

 

  2

  6

  1

23

  2

  4

12

  7

  9

  8

 

1.

  

2.

 

3.

 
42 – 47

Where are the mean, mode and median to be found in a symmetric distribution?

  
42 – 47 Where are the mean, mode and median to be found in a distribution which is skewed to the left?  
42 – 47

Where are the mean, mode and median to be found in a distribution which is skewed to the right?

  
42 – 47

What do you understand by the term distribution?  Give several examples.

  

A teacher has just marked the psychology papers for the whole year group and is pleased about the results. The distribution is skewed towards the right.  What does this tell you about:

 

1)   the pupils attaining high scores;

2)   the pupils attaining low scores;

3)  the average score of the year group?

  

The school next door has found that their pupils have a low average score, with a few pupils scoring extremely highly.  What might the distribution look like?

Sketch, label and describe your response.

  

The population of a country contains more older people than younger people.  What might the population distribution look like?

 

Sketch, label and describe your response.