I just keep getting the last two wrong.
Solution:
Now, we have to find out the:
d) What would be the mean of the data represented in the stream and standard deviation:
Given ,
the mean of the sample = 757.5
standard deviation = 162.6
e) Now, we have to find out the:
How many observations should lie with one and half standard deviation of the mean, According to chebyshev rule :
We know the formula of chebyshev's rule is
For lower bound:
= 757.5 - k ( 162.6 )
Here k = one and half standard deviation
k= 1 1/2
= 757.5 - 1 1/2 ( 162.6 )
= 757.5 -1.5( 162.6 )
= 757.5 - 243.9
= 513.6
= 513.6
For lower bound the one and half standard deviation of the mean is = 513.6
For higher bound:
,
= 757.5 + 1 1/2 ( 162.6 )
= 757.5 +1.5( 162.6 )
= 757.5 + 243.9
= 1001.4
For higher boundary the one and half standard deviation of the mean is = 1001.4
Number of observations actually lie within one and half standard deviation of mean :
Number of observations actually lie with in lower and upper bound .
i.e., Number of observations = ( 513.6 & 1001.4 )
In the question, From the data we can see the no.of observation lie with in the boundaries range.
From the notation , lower bound 513.6 = 5.136
and lower bound 1001.4 = 10.014
so, the no.of observations boundaries range is 5.136 to 10.014
From the data , we can get the observation is " 5.6,6.0,6.1,6.3,6.3,6.5, 6.5, 6.9 7.0,7.2,7.3,7.6,7.7,7.7,7.8,8.5,8.9,9.0,9.5, 9.6 "
Total number of observations = 21
Number of observations actually lie within one and half standard deviation of mean =21
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