A collection of data has a bell shaped, symmetric distribution.
The mean of the data is 20 and the standard deviation is 2.
Approximately 95% of the data will fall within the interval;
[4 points]
[14,26][12,28] [18,22][16,24][16,26]
Solution :
Given that,
mean =
= 20
standard deviation =
= 2
Using Empirical rule,
P(
- 2
< x <
+ 2
) = 95%
= P( 20 - 2 * 2 < x < 20 + 2 * 2 ) = 95%
= P( 20 - 4 < x < 20 + 4 ) = 95%
=P( 16 < x < 24) = 95%
= [ 16, 24 ]
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