Practice Makes Perfect Statistics In Your World 
Student Notes
Teachers Notes
Estimating Time
 
Reaction Times
 
Guessing Lengths
 
Does Practice Make Perfect?
 

Improving with Practice
The next three experiments are to show how much you can improve with practice.

 

Estimating Time
You will need:
Table 4 on page R2 and a piece of squared paper.

How good are you at counting seconds without a watch to help you?

Your teacher will explain this experiment to you.

a Record your results in Table 4.
b Work out the error for each trial.
c If your guess was too high, put a '+' sign in the bottom row. If your guess was too low, put a '-' sign in the bottom row. If the guess was exactly right, leave the last row blank.
d Plot your errors on a graph like Figure 4.


Figure 4 - Stephen's results

Figure 4 was drawn from Stephen's results. His estimates had improved by the tenth trial.

e What was Stephen's biggest error ( + or - )?
f What was Stephen's smallest error ( + or - )?

Look at the pattern of your graph.

g Find the largest and smallest errors.
h Have your results shown improvement?

Reaction Times
You will need Table 5 on page R2.

Do your reaction times improve with practice?

Work with a partner.

a Do the failing ruler experiment 10 times. One of you use the writing hand, the other use the non-writing hand. Record your results on Table 5.
b Plot your results on a graph.

Make sure your scale can show the full range of times you took.


Figure 5 - Robert's reaction times.

Figure 5 shows Robert's results.

c What would you expect to see in the diagram if you improve with practice?
d Did you improve?
e Describe your results in a few sentences.
f Give your results to your teacher.

Your teacher will discuss the class results with you.

 

Guessing Lengths
You will need Table 6 on page R2, and a ruler.

In Section C you guessed the lengths of five lines without being told your errors. Figure 6 shows five more lines. This time you will see if your guesses improve with practice when you measure the lengths immediately after you have guessed.


Figure 6 - Five more lines.

a Guess the length of the first line to the nearest 1/2 centimetre.
b Write down your guess in Table 6.
c Measure the length of the first line. Write this down in Table 6.
d Work out your error and say whether your guess was too high ( + ) or too low ( - ).
e Repeat a to d for the next line. Continue until you have measured all five lines.

Look at your errors in Table 6.

f Have you improved?

 

Does Practice Make Perfect?
Sections D1 to D3 all tried to see if you improved with practice.

a Did practice help you in these experiments?

In b and c there are two more experiments you can do to see if you improve with practice. Do one of them. Make out your own tables and graphs.

b Time how long it takes you to copy 100 words from a school textbook. See if you get quicker with practice.
c Work with a partner. Set each other 10 arithmetic problems. Answer the problems as quickly as you can and see how many you get right. Continue and see if you get more right with practice.
d Write down three more things that you do, where practice is important for improvement.

 

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