The Normal Distribution Worksheet - Oxford Insight Mathematics General Hsc General 2 Student Book Page 9
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20These three normal curves have the same standard deviation but diff erent means.
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If a normal distribution of scores has a large standard deviation, the scores are widely spread from the mean and
the graph will be short and widely spread (below left). If the standard deviation of the scores is small, most of the
scores are close to the mean and the graph will be tall and narrow (below right).
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Normal distribution with large s
Normal distribution with small s
EXERCISE 6C
1
Which of the following is a normal curve?
A
B
C
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2
Draw two normal curves with:
a
the same means but diff erent standard deviations
b
diff erent means but the same standard deviation.
3
The normal curves below are drawn with the same scale on both axes. Which distribution has the:
a
b
largest standard deviation?
smallest standard deviation?
c
d
largest mean?
smallest mean?
A
B
C
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Chapter 6
The normal distribution
207
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