From least to greates -4 3/7, -4 5/6, -5 3/7, 4 2/7, 5 1/7
1 answer:
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Answer:
If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18
If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46
Step-by-step explanation:
We are given the following data-set:
70, 65, 71, 78, 89, 68, 50, 75
Deviations from the mean
–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2
Sample size, n = 8
Sample:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences =
0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5
Population:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences =
0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5
SOLUTION
From the given data the mean is 62 and standard deviation is 4
It is required to find the probability that a data value is between 57 and 62
That is:
The z scores is calculated using:
Using the x values it follows:
Also,
Thus the required probability is:
Therefore the correct option is C