Question:
Given these data
Determine
(a)
the mean,
(b)
the standard deviation,
(c)
the variance,
(d)
the coefficient of variation, and
(e)
the 95% confidence interval
for the mean.
(f)
construct a histogram using a range from 7.5 to
11.5 with intervals of 0.5.
Answer :
The given data is
8.8, 9.5, 9.8, 9.4, 10,
9.4, 10.1, 9.2, 11.3, 9.4,
10, 10.4, 7.9, 10.4, 9.8,
9.8, 9.5, 8.9, 8.8, 10.6,
10.1, 9.5, 9.6, 10.2, 8.9
a).
We need to find the mean of above data

We get mean of the above data as 9.652.
b)
We need to find standard deviation of the above data
Where
x
i
is an individual value.
is the mean of the data.
N is the total number of data.
s is the standard deviation.
Calculate standard deviation of the above data by substituting values into the above
equation:
We get standard deviation of the above data as 0.703.

c)
Now, we need to calculate variance of the above data:
Equation to calculate variance is as given below:
Now, calculate variance of the above data by substituting values into the above
equation:
We get variance of the above data as 0.494
d)
Now, calculate coefficient of variance of the above data:

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- Spring '17
- John DOe
- Statistics, Normal Distribution, Standard Deviation, sample meanZÂ